Publications
182 results found
Bossard G, Howe PS, Stelle KS, 2011, On duality symmetries of supergravity invariants, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 49
Bossard G, Howe PS, Stelle KS, 2009, A note on the UV behaviour of maximally supersymmetric Yang-Mills theories, PHYSICS LETTERS B, Vol: 682, Pages: 137-142, ISSN: 0370-2693
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- Citations: 44
Bossard G, Nicolai H, Stelle KS, 2009, Universal BPS structure of stationary supergravity solutions, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 69
Bossard G, Nicolai H, Stelle KS, 2009, Gravitational multi-NUT solitons, Komar masses and charges, General Relativity and Gravitation, Vol: 41, Pages: 1367-1379, ISSN: 0001-7701
Generalising expressions given by Komar, we give precise definitions of gravitational mass and solitonic NUT charge and we apply these to the description of a class of Minkowski-signature multi-Taub–NUT solutions without rod singularities. A Wick rotation then yields the corresponding class of Euclidean-signature gravitational multi-instantons.
Stelle KS, 2009, Is <i>N</i>=8 supergravity a finite field theory?, 4th EU RTN Workshop on Constituents, Fundamental Forces and Symmetries of the Universe, Publisher: WILEY-V C H VERLAG GMBH, Pages: 446-450, ISSN: 0015-8208
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- Citations: 5
Haupt AS, Lukas A, Stelle KS, 2009, M-theory on Calabi-Yau Five-Folds, The Journal of High Energy Physics, Vol: 2009, Pages: 1-82, ISSN: 1029-8479
We study the compactification of M-theory on Calabi-Yau five-folds and the resulting Script N = 2 super-mechanics theories. By explicit reduction from 11 dimensions, including both bosonic and fermionic terms, we calculate the one-dimensional effective action and show that it can be derived from an Script N = 2 super-space action. We find that the Kähler and complex structure moduli of the five-fold reside in 2a and 2b super-multiplets, respectively. Constrained 2a super-multiplets arise from zero-modes of the M-theory three-form and lead to cross-couplings between 2a and 2b multiplets. Fermionic zero modes which arise from the (1,3) sector of the 11-dimensional gravitino do not have bosonic super-partners and have to be described by purely fermionic super-multiplets in one dimension. We also study the inclusion of flux and discuss the consistency of the scalar potential with one-dimensional Script N = 2 supersymmetry and how it can be described in terms of a superpotential. This superpotential can also be obtained from a Gukov-type formula which we present. Supersymmetric vacua, obtained by solving the F-term equations, always have vanishing vacuum energy due to the form of this scalar potential. We show that such supersymmetric solutions exist for particular examples. Two substantial appendices develop the topology and geometry of Calabi-Yau five-folds and the structure of one-dimensional Script N = 2 supersymmetry and supergravity to the level of generality required for our purposes.
Bossard G, Howe PS, Stelle KS, 2009, The ultra-violet question in maximally supersymmetric field theories, 405th WE Heraeus Seminar on Quantum Gravity, Publisher: SPRINGER/PLENUM PUBLISHERS, Pages: 919-981, ISSN: 0001-7701
We discuss various approaches to the problem of determining which supersymmetric invariants are permitted as counterterms in maximally supersymmetric super Yang–Mills and supergravity theories in various dimensions. We review the superspace non-renormalisation theorems based on conventional, light-cone, harmonic and certain non-Lorentz covariant superspaces, and we write down explicitly the relevant invariants. While the first two types of superspace admit the possibility of one-half BPS counterterms, of the form F 4 and R 4 respectively, the last two do not. This suggests that UV divergences begin with one-quarter BPS counterterms, i.e. d 2 F 4 and d 4 R 4, and this is supported by an entirely different approach based on algebraic renormalisation. The algebraic formalism is discussed for non-renormalisable theories and it is shown how the allowable supersymmetric counterterms can be determined via cohomological methods. These results are in agreement with all the explicit computations that have been carried out to date. In particular, they suggest that maximal supergravity is likely to diverge at four loops in D = 5 and at five loops in D = 4, unless other infinity suppression mechanisms not involving supersymmetry or gauge invariance are at work.
Stelle KS, 2008, IN MEMORIAM: ABDUS SALAM (1926-1996), INTERNATIONAL JOURNAL OF MODERN PHYSICS A, Vol: 23, Pages: 3780-3786, ISSN: 0217-751X
Lehners J-L, Smyth P, Stelle KS, 2008, Kaluza-Klein induced supersymmetry breaking for braneworlds in type IIB supergravity, Nuclear Physics B, Vol: 790, Pages: 89-110, ISSN: 0550-3213
We consider Z2-symmetric braneworlds arising from 5-sphere compactifications with5-form flux in type IIB supergravity. This Kaluza-Klein reduction produces a D = 5theory which supports 12-supersymmetric Z2-symmetric domain-wall solutions. However, upon lifting such solutions back to D = 10, one finds that supersymmetry isbroken by 5-sphere Kaluza-Klein effects. This happens owing to the action on theKilling spinor of the Z2 ⊂ SO(1, 9) symmetry, which requires an orientation-reversingtransformation in the 5-sphere directions together with the flip of the orbifold coordinate. We study the consequences of this supersymmetry breaking for the masses offermion fluctuation modes about the brane background and find a natural two-scalehierarchy: some bulk modes have characteristic masses of order 1L5but other modesmore closely associated to the branes have an additional factor exp(−ρL5), where L5 isthe AdS5 length parameter and ρ is the orbifold size.
Haupt AS, Stelle KS, 2008, M-theory on calabi-yau fivefolds, Pages: 2884-2886
It is important to test M-theory in regions of the moduli space that cannot be reached by string theory and thus to probe M-theory's intrinsic structure. One such test is the compactification of M-theory on manifolds with SU(5) holonomy, which require ten Euclidean-signature dimensions and hence probe beyond anything that can be discussed in perturbative string theory. We present some preliminary results of ongoing work that is focused on studying the resulting one-dimensional effective action. © 2008 World Scientific Publishing Co. Pte. Ltd.
Stelle KS, 2008, Is N = 8 supergravity an ultraviolet finite quantum field theory?, Pages: 137-141
Advances in the computation of quantum amplitudes in supergravity theories raise the question whether maximal supergravity in D = 4 spacetime dimensions might actually be free of ultraviolet divergences. On the other hand, supersymmetric non-renormalization theorems give no indication of cancellations for anything beyond half-BPS counterterm operators. The jury is still out, and bets are being taken on the outcome.
Lue H, Pope CN, Stelle KS, 2007, Consistent Pauli sphere reductions and the action, Nuclear Physics B, Vol: 782, Pages: 79-93, ISSN: 0550-3213
It is a commonly held belief that a consistent dimensional reduction ansatz can be equally well substituted into either the higher-dimensional equations of motion or the higher-dimensional action, and that the resulting lower-dimensional theories will be the same. This is certainly true for Kaluza–Klein circle reductions and for DeWitt group-manifold reductions, where group-invariance arguments guarantee the equivalence. In this paper we address the question in the case of the non-trivial consistent Pauli coset reductions, such as the S7 and S4 reductions of eleven-dimensional supergravity. These always work at the level of the equations of motion. In some cases the reduction ansatz can only be given at the level of field strengths, rather than the gauge potentials which are the fundamental fields in the action, and so in such cases there is certainly no question of being able to substitute instead into the action. By examining explicit examples, we show that even in cases where the ansatz can be given for the fundamental fields appearing in an action, substituting it into the higher-dimensional action may not give the correct lower-dimensional theory. This highlights the fact that much remains to be understood about the way in which Pauli reductions work.
Stelle K, 2007, Supergravity - Finite after all?, NATURE PHYSICS, Vol: 3, Pages: 448-450, ISSN: 1745-2473
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- Citations: 7
Lu H, Pope CN, Stelle KS, 2006, Generalised holonomy for higher-order corrections to supersymmetric backgrounds in string and M-theory, Nuclear Physics B, Vol: 741, Pages: 17-33, ISSN: 0550-3213
he notion of generalised structure groups and generalised holonomy groups has been introduced in supergravity, in order to discuss the spinor rotations generated by commutators of supercovariant deriva-tives when non-vanishing form fields are included, with their associated gamma-matrix structures that go beyond the usualΓMNof the Riemannian connection. In this paper we investigate the generalisations to the usual Riemannian structure and holonomy groups that result from the inclusion of higher-order string or M-theory corrections in the supercovariant derivative. Even in the absence of background form fields, these corrections introduce additional termsΓM1...M6in the supercovariant connection, and hence they lead to enlarged structure and holonomy groups. In some cases, the corrected equations of motion force form fields to become non-zero too, which can further enlarge the groups. Our investigation focuses on the generalised structure and holonomy groups in the transverse spaces Knof(Minkowski)×Knbackgrounds forn=6,7, 8 and 10, and shows how the generalised holonomies allow the continued existence of supersymmetric backgrounds even though the usual Riemannian special holonomy is destroyed by the inclusion of the string or M-theory corrections.
Stelle KS, 2006, Generalized holonomy in String-corrected Spacetimes, Journal of Physics: Conference Series, Vol: 33, Pages: 182-190, ISSN: 1742-6588
The quartic-curvature corrections derived from string theory have a specific impact on the geometry of target-space manifolds of special holonomy. In the cases of Calabi-Yau manifolds, D 7 manifolds of G2 holonomy and D 8 manifolds of Spin7 holonomy, string theory α′ corrections conspire to preserve the unbroken supersymmetry of these backgrounds despite the fact that the α′ corrections cause the Riemannian holonomy to lose its special character. We show how this supersymmetry preservation is expressed in the language of generalized holonomy for the Killing spinor operator. © 2006 IOP Publishing Ltd.
Stelle KS, 2006, Counterterms, Holonomy and Supersymmetry, Deserfest: A Celebration of the Life and Works of Stanley Deser, Publisher: World Scientific Pub Co Inc
The divergence structure of supergravity has long been a topic of concernbecause of the theory's non-renormalizability. In the context of string theory,where perturbative finiteness should be achieved, the supergravity countertermstructures remain nonetheless of importance because they still occur, albeitwith finite coefficients. The leading nonvanishing supergravity countertermshave a particularly rich structure that has a bearing on the preservation ofsupersymmetry in string vacua in the presence of perturbative stringcorrections. Although the holonomy of such manifolds is deformed by thecorrections, a Killing spinor structure nevertheless can persist. Theintegrability conditions for the existence of such Killing spinors remarkablyremain consistent with the perturbed effective field equations.
Liu JT, Duff MJ, Stelle KS, et al., 2006, Deserfest: A celebration of the life and works of stanley deser: Michigan center for theoretical physics, university of Michigan, Ann Arbor, USA, 3-5 April 2004, ISBN: 9789812560827
This volume comprises the contributions to the proceedings of Deserfest-A festschrift in honor of Stanley Deser. Many of Stanley Deser’s colleagues and longtime collaborators, including Richard Arnowitt and Charles Misner of ‘ADM’ fame, contribute insighted article. Ranging from lower dimensional gravity theories all the way to supergravity in eleven dimensions and M-Theory, the papers highlight the wide impact that Deser has had in the field.
Duff MJ, Liu JT, Stelle KS, et al., 2006, A celebration of the life and works of stanley deser, ISBN: 9789812560827
Stelle KS, 2006, Supergravity, Encyclopedia of Mathematical Physics: Five-Volume Set, ISBN: 9780125126601
Liu J T, Duff M J, Stelle K S, et al., 2006, Deserfest: A Celebration of the Life and Works of Stanley Deser, Singapore, Publisher: World Scientific Publishing Co, Pte. Ltd., ISBN: 9789812560827
Lu H, Pope CN, Stelle KS, et al., 2005, String and M-theory deformations of manifolds with special holonomy, The Journal of High Energy Physics, Vol: 2005, Pages: 1-37, ISSN: 1029-8479
The R4-type corrections to ten and eleven dimensional supergravity required by string and M-theory imply corrections to supersymmetric supergravity compactifications on manifolds of special holonomy, which deform the metric away from the original holonomy. Nevertheless, in many such cases, including Calabi-Yau compactifications of string theory and G2-compactifications of M-theory, it has been shown that the deformation preserves supersymmetry because of associated corrections to the supersymmetry transformation rules, Here, we consider Spin(7) compactifications in string theory and M-theory, and a class of non-compact SU(5) backgrounds in M-theory. Supersymmetry survives in all these cases too, despite the fact that the original special holonomy is perturbed into general holonomy in each case.
Lehners JL, Smyth P, Stelle KS, 2005, Stability of horava-witten spacetimes, Classical and Quantum Gravity, Vol: 22, Pages: 2589-2605, ISSN: 0264-9381
Hořava–Witten spacetimes necessarily include two branes of opposite tension. If these branes are BPS we are led to a puzzle: a negative tension brane should be unstable as it can lose energy by expanding, whereas a BPS brane should be stable as it resides at a minimum of the energy. We provide a detailed analysis of the energy of such braneworld spacetimes in five dimensions. This allows us to show by a non-perturbative positive energy theorem that Hořava–Witten spacetimes are stable, essentially because the dynamics of the branes is entirely accounted for by the behaviour of the bulk fields. We also perform an ADM perturbative Hamiltonian analysis at quadratic order in order to illustrate the stability properties more explicitly.
Lu H, Pope CN, Stelle KS, et al., 2004, Supersymmetric deformations of G_2 manifolds from higher-order corrections to string and m-theory, The Journal of High Energy Physics, Vol: 2004, Pages: 1-22, ISSN: 1029-8479
The equations of 10 or 11 dimensional supergravity admit supersymmetric compactifications on 7-manifolds of G2 holonomy, but these supergravity vacua are deformed away from special holonomy by the higher-order corrections of string or M-theory. We find simple expressions for the first-order corrections to the Einstein and Killing spinor equations in terms of the calibrating 3-form of the leading-order G2-holonomy background. We thus obtain, and solve explicitly, systems of first-order equations describing the corrected metrics for most of the known classes of cohomogeneity-one 7-metrics with G2 structures.
Lu H, Pope CN, Stelle KS, 2004, Higher-order corrections to non-compact Calabi-Yau manifolds in string theory, The Journal of High Energy Physics, Vol: 2004, Pages: 1-46, ISSN: 1029-8479
At the leading order, the low-energy effective field equations of string theory admit solutions in the form of products of Minkowski spacetime with a Ricci-flat Calabi-Yau space. The equations of motion receive corrections at higher orders in α', which imply that the Ricci-flat Calabi-Yau space is modified. In an appropriate choice of scheme, the corrected Calabi-Yau space remains of Kähler structure, but is no longer Ricci-flat. We discuss the nature of these corrections at order α'3, and consider the deformations of the known cohomogeneity-one non-compact Kähler metrics in six and eight dimensions. We do this by deriving the first-order equations associated with the modified Killing-spinor conditions, and we thereby obtain the modified supersymmetric solutions. We also give a detailed discussion of the boundary terms for the Euler complex in six and eight dimensions, and apply the results to the cohomogeneity-one examples.
Stelle KS, 2004, Special-holonomy manifolds and quartic-curvature string corrections, 36th International Symposium Ahrenshoop on the Theory of Elementary Particles, Publisher: WILEY-V C H VERLAG GMBH, Pages: 690-695, ISSN: 0015-8208
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- Citations: 1
Stelle KS, 2004, Supergravity, Encyclopedia of Mathematical Physics: Five-Volume Set, Pages: 122-128, ISBN: 9780125126663
The essential idea of supersymmetry is an extension of the relativistic structure group of spacetime, which in ordinary four-dimensional physics in the absence of gravity is the Poincaré group ISO(3,1). In a minimal supersymmetric theory in flat D = 4 spacetime, the minimal supersymmetry algebra (the "graded Poincaré algebra") adds spinorial generators
Stelle KS, Van proeyen A, 2003, Wess-Zumino sigma models with non-Kahlerian geometry, CLASSICAL AND QUANTUM GRAVITY, Vol: 20, Pages: 5195-5204, ISSN: 0264-9381
Supersymmetry of the Wess–Zumino (N = 1, D = 4) multiplet allows field equations that determine a larger class of geometries than the familiar Kähler manifolds, in which covariantly holomorphic vectors rather than a scalar superpotential determine the forces. Indeed, relaxing the requirement that the field equations be derivable from an action leads to complex flat geometry. The Batalin–Vilkovisky formalism is used to show that if one requires that the field equations be derivable from an action, we once again recover the restriction to Kähler geometry, with forces derived from a scalar superpotential.
Kalkkinen J, Stelle KS, 2003, Large gauge transformations in M-theory, Journal of Geometry and Physics, Vol: 48, Pages: 100-132, ISSN: 0393-0440
We cast M-brane interactions including intersecting membranes and five-branes in manifestly gauge invariant form using an arrangement of higher dimensional Dirac surfaces. We show that the noncommutative gauge symmetry present in the doubled M-theory formalism involving dual 3-form and 6-form gauge fields is preserved in a form quantised over the integers. The proper context for discussing large noncommutative gauge transformations is relative cohomology, in which the 3-form transformation parameters become exact when restricted to the five-brane worldvolume. We show how this structure yields the lattice of M-theory charges and gives rise to the conjectured 7D Hopf–Wess–Zumino term.
Kalkkinen J, Stelle KS, 2003, Form-field gauge symmetry in M-theory, 35th International Symposium Ahrenshoop on the theory of Elementary Particles: Recent Developments in String / M Theory and Field Theory, Publisher: Wiley-VCH Verlag, Pages: 856-864, ISSN: 0015-8208
We show how to cast an interacting system of M‐branes into manifestly gauge‐invariant form using an arrangement of higher‐dimensional Dirac surfaces. Classical M‐theory has a cohomologically nontrivial and noncommutative set of gauge symmetries when written using a “doubled” formalism containing 3‐form and 6‐form gauge fields. We show how the arrangement of Dirac surfaces allows an integral subgroup of these symmetries to be preserved at the quantum level. The proper context for discussing these large gauge transformations is relative cohomology, in which the 3‐form transformation parameters become exact when restricted to the five‐brane worldvolume. This structure yields the correct lattice of M‐theory brane charges.
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