Publications
182 results found
Lehners JL, Stelle KS, 2003, D=5 M-theory radion supermultiplet dynamics, Nuclear Physics B, Vol: 661, Pages: 273-288, ISSN: 0550-3213
We show how the bosonic sector of the radion supermultiplet plus d = 4, N = 1supergravity emerge from a consistent braneworld Kaluza-Klein reduction of D = 5 M–theory. The radion and its associated pseudoscalar form an SL(2, R)/U(1) nonlinearsigma model. This braneworld system admits its own brane solution in the form of a2-supercharge supersymmetric string. Requiring this to be free of singularities leads toan SL(2,Z) identification of the sigma model target space. The resulting radion modehas a minimum length; we suggest that this could be used to avoid the occurrence ofsingularities in brane-brane collisions. We discuss possible supersymmetric potentialsfor the radion supermultiplet and their relation to cosmological models such as the cyclicuniverse or hybrid inflation.
Cvetic M, Lu H, Pope CN, et al., 2003, Linearly-realised worldsheet supersymmetry in pp-wave backgrounds, Nuclear Physics B, Vol: 662, Pages: 89-119, ISSN: 0550-3213
We study the linearly-realised worldsheet supersymmetries in the “massive” type II light-cone actions for pp-wave backgrounds. The pp-waves have 16+Nsup Killing spinors, comprising 16 “standard” Killing spinors that occur in any wave background, plus Nsup “supernumerary” Killing spinors (0⩽Nsup⩽16) that occur only for special backgrounds. We show that only the supernumerary Killing spinors give rise to linearly-realised worldsheet supersymmetries after light-cone gauge fixing, while the 16 standard Killing spinors describe only non-linearly realised inhomogeneous symmetries. We also study the type II actions in the physical gauge, and we show that although in this case the actions are not free, there are now linearly-realised supersymmetries coming both from the standard and the supernumerary Killing spinors. In the physical gauge, there are no mass terms for any worldsheet degrees of freedom, so the masses appearing in the light-cone gauge may be viewed as gauge artefacts. We obtain type IIA and IIB supergravity solutions describing solitonic strings in pp-wave backgrounds, and show how these are related to the physical-gauge fundamental string actions. We study the supersymmetries of these solutions, and find examples with various numbers of Killing spinors, including total numbers that are odd.
Howe PS, Stelle KS, 2003, Supersymmetry counterterms revisited, Physics Letters B: Nuclear Physics and Particle Physics, Vol: 554, Pages: 190-196, ISSN: 0370-2693
Superspace power-counting rules give estimates for the loop order at which divergences can first appear in non-renormalisable supersymmetric field theories. In some cases these estimates can be improved if harmonic superspace, rather than ordinary superspace, is used. The new estimates are in agreement with recent results derived from unitarity calculations for maximally supersymmetric Yang–Mills theories in five and six dimensions. For N=8 supergravity in four dimensions, we speculate that the onset of divergences may correspondingly occur at the six loop order.
BERGSHOEFF E, PERCACCI R, SEZGIN E, et al., 2002, U(1)-extended gauge algebras in p-loop space, Nuclear Physics B, Vol: 398, Pages: 343-358, ISSN: 0550-3213
We consider, for p odd, a p-brane coupled to a (p + 1)th-rank background antisymmetric tensor field and to background Yang-Mills (YM) fields via a Wess-Zumino term. We obtain the generators of antisymmetric tensor and Yang-Mills gauge transformations acting on p-brane wave functionals (functions on . The Yang-Mills generators do not form a closed algebra by themselves; instead, the algebra of Yang-Mills and antisymmetric tensor generators is a U(1) extension of the usual algebra of Yang-Mills gauge transformations. We construct the p-brane's hamiltonian and thereby find gauge-covariant functional derivatives acting on p-brane wave functionals that commute with the YM and U(1) generators.
Kalkkinen J, Stelle KS, 2002, On fields and charges in M-theory, Pages: 903-908, ISSN: 0015-8208
We consider some topological aspects of world-volume and space-time gauge fields in M-theory. In particular charge lattices and brane tensions are discussed.
Gibbons GW, Lu H, Pope CN, et al., 2002, Supersymmetric domain walls from metrics of special holonomy, Nuclear Physics B, Vol: 623, Pages: 3-46, ISSN: 0550-3213
Supersymmetric domain-wall spacetimes that lift to Ricci-flat solutions of M-theory admit generalized Heisenberg (2-step nilpotent) isometry groups. These metrics may be obtained from known cohomogeneity one metrics of special holonomy by taking a “Heisenberg limit”, based on an Inönü–Wigner contraction of the isometry group. Associated with each such metric is an Einstein metric with negative cosmological constant on a solvable group manifold. We discuss the relevance of our metrics to the resolution of singularities in domain-wall spacetimes and some applications to holography. The extremely simple forms of the explicit metrics suggest that they will be useful for many other applications. We also give new but incomplete inhomogeneous metrics of holonomy SU(3), G2 and Spin(7), which are T1, T2 and T3 bundles respectively over hyper-Kähler four-manifolds.
Stelle KS, 2002, Revisiting supergravity and super yang-mills renormalization, Melville, 37th Karpacz winter school of theoretical physics, Publisher: American Institute of Physics, Pages: 108-117
Standard superspace Feynman diagram rules give one estimate of the onset of ultraviolet divergences in supergravity and super Yang-Mills theories. Newer techniques motivated by string theory but which also make essential use of unitarity cutting rules give another in certain cases. We trace the difference to the treatment of higher-dimensional gauge invariance in supersymmetric theories that can be dimensionally oxidized to pure supersymmetric gauge theories.
Kalkkinen J, Stelle KS, 2002, On fields and charges in M-theory, 2nd Annual Meeting of the EU-Network on the Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions, Publisher: WILEY-V C H VERLAG GMBH, Pages: 903-908, ISSN: 0015-8208
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- Citations: 1
Lehners JL, Stelle KS, 2002, Brane-world radion supermultiplet dynamics, Third international Sakharov conference on physics, Moscow, Russia, 24 - 29 June 2002
Stelle KS, 2001, Supergravity braneworlds, 2nd Gursey Memorial Conference, Publisher: IOP PUBLISHING LTD, Pages: 3215-3222, ISSN: 0264-9381
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- Citations: 1
Cvetic M, Duff MJ, Liu JT, et al., 2001, Randall-Sundrum brane tensions, NUCLEAR PHYSICS B, Vol: 605, Pages: 141-158, ISSN: 0550-3213
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- Citations: 19
Stelle KS, 2001, RS braneworlds in type IIB supergravity, International Superstrings Conference (STRINGS 2000), Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD, Pages: 669-676, ISSN: 0217-751X
Stelle KS, 2001, Domain Walls and Spaces of Special Holonomy, Supersymmetries and Quantum Symmetries, Pages: 86-95
We review the relations between a family of domain-wall solutions to M-theoryand gravitational instantons with special holonomy. When oxidized into themaximal-dimension parent supergravity, the transverse spaces of these domainwalls become cohomogeneity-one spaces with generalized Heisenberg symmetriesand a homothetic conformal symmetry. These metrics may also be obtained asscaling limits of generalized Eguchi-Hanson metrics, or, with appropriatediscrete identifications, from generalized Atiyah-Hitchin metrics, thusproviding field-theoretic realizations of string-theory orientifolds.
Antoniadis I, Cremmer E, Stelle KS, 2001, Les Supercordes, Gazette des Mathematiciens, Vol: 87 (part 1); 88 (part 2), Pages: 17 (part 1); 95 (part 2)-39 (part 1); 114 (part 2), ISSN: 0224-8999
Stelle K, 2001, Tensions in supergravity braneworlds, Dordrecht, Noncommutative structures in mathematics and physics, advanced research workshop, Kiev, September 2000, Publisher: Kluwer Academic Publishers, Pages: 31-40
Stelle KS, 2001, Domain walls, singular and smooth, Dubna, SQS`01 international workshop: supersymmetry and quantum symmetries, Karpacz, Poland, 21 - 25 September 2001, Publisher: JINR, Pages: 86-95
Stelle KS, Duff MJ, Liu JT, 2001, A supersymmetric type IIB Randall-Sundrum realisation: Special issue on Strings, Branes and M-theory, Journal of Mathematical Physics, Vol: 42, Pages: 3027-3047
Stelle KS, 2001, Brane solutions in supergravity, Proceedings XI Jorge Andre Swieca summer school in particles and fields, Campos do Jordo - SP - Brasil, January 2001
Stelle KS, 2000, A supergravity view of string dualities, 3rd Meeting of Constrained Dynamics and Quantum Gravity, Publisher: ELSEVIER SCIENCE BV, Pages: 175-183, ISSN: 0920-5632
Stelle KS, 2000, The unification of quantum gravity, 3rd Meeting of Constrained Dynamics and Quantum Gravity, Publisher: ELSEVIER SCIENCE BV, Pages: 3-9, ISSN: 0920-5632
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- Citations: 2
Cvetic M, Lu H, Pope CN, et al., 2000, T-duality in the Green-Schwarz formalism, and the massless/massive IIA duality map, Nuclear Physics B, Vol: 573, Pages: 149-176, ISSN: 0550-3213
We derive a component-field expansion of the Green–Schwarz action for the type IIA string, in an arbitrary background of massless NS–NS and R–R bosonic fields, up to quadratic order in the fermionic coordinates θ. Using this action, we extend the usual derivation of Buscher T-duality rules to include not only NS–NS, but also R–R fields. Our implementation of the T-duality transformation rules makes use of adapted background-field parametrizations, which provide a more geometrically natural and elegant description for the duality maps than the ones previously presented. These T-duality rules allow us to derive the Green–Schwarz action for the type IIB string in an arbitrary background of massless NS–NS and R–R bosonic fields, up to O(θ2). Implementation of another T-duality transformation on this type IIB action then allows us also to derive the Green–Schwarz action for the massive IIA string. By further considering T-duality transformations for backgrounds with the two U(1) isometries of a 2-torus, we give a string-theoretic derivation of the direct T-duality relation between the massless and massive type IIA strings. In addition, we give an explicit construction of the D=8 invariant supergravity with two mass parameters that form a doublet under the SL(2,R) factor.
Lukas A, Stelle KS, 2000, Heterotic anomaly cancellation in five dimensions, The Journal of High Energy Physics, Vol: 2000, Pages: 1-50, ISSN: 1029-8479
We study the constraints on five-dimensional Script N = 1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional orbifold planes due to anomaly inflow from the bulk. We find that the semi-simple part of the orbifold gauge groups and certain U(1) symmetries have to be free of quantum anomalies. In addition there can be several anomalous U(1) symmetries on each orbifold plane whose anomalies are cancelled by a non-trivial variation of the bulk vector fields. The mixed U(1) non-abelian anomaly is universal and there is at most one U(1) symmetry with such an anomaly on each plane. In an alternative approach, we also analyze the coupling of five-dimensional gauged supergravity to orbifold gauge theories. We find a somewhat generalized structure of anomaly cancellation in this case which allows, for example, non-universal mixed U(1) gauge anomalies. Anomaly cancellation from the perspective of four-dimensional Script N = 1 effective actions obtained from E8 × E8 heterotic string- or M-theory by reduction on a Calabi-Yau three-fold is studied as well. The results are consistent with the ones found for five-dimensional heterotic M-theory. Finally, we consider some related issues of phenomenological interest such as model building with anomalous U(1) symmetries, Fayet-Illiopoulos terms and threshold corrections to gauge kinetic functions.
Stelle KS, 2000, Brane charge cohomology and tension lattices, Singapore, international conference on the mathematical sciences after the year 2000 JAN 11-15, 1999 BEIRUT, LEBANON, Publisher: World Scientific Publ Co Pte Ltd, Pages: 135-143
Lavrinenko IV, Lu H, Pope CN, et al., 1999, Superdualities, brane tensions and massive IIA/IIB duality, Nuclear Physics B, Vol: 555, Pages: 201-227, ISSN: 0550-3213
The gauge transformations of p-form fields in supergravity theories acquire a non-commuting character when one introduces potentials both for the theory's original field strengths and for their duals. This has previously been shown in the “doubled” formalism for maximal supergravities, where a generalised duality relation between original and dual field strengths replaces the equations of motion. In the doubled formalism, the gauge transformations generate a superalgebra, and the corresponding symmetries have accordingly been called “superdualities.” The corresponding Noether charges form a representation of the cohomology ring on the space-time manifold. In this paper, we show that the gauge symmetry superalgebra implies certain non-trivial relations among the various p-brane tensions, which can straightforwardly be read off from the superalgebra commutation relations. This provides an elegant derivation of the brane-tension relations purely within a given theory, without the need to make use of duality relations between different theories, such as the type IIA/IIB T-duality, although the results are consistent with such dualities. We present the complete set of brane-tension relations in M-theory, in the type IIA and type IIB theories, and in all the lower-dimensional maximal supergravities. We also construct a doubled formalism for massive type IIA supergravity, and this enables us to obtain the brane-tension relations involving the D8-brane, purely within the framework of the massive IIA theory. We also obtain explicit transformations for the nine-dimensional T-duality between the massive type IIA theory and the Scherk-Schwarz reduced type IIB theory.
Lukas A, Ovrut BA, Stelle KS, et al., 1999, Heterotic M theory in five-dimensions, Nuclear Physics B, Vol: B552, Pages: 246-290, ISSN: 0550-3213
We derive the five-dimensional effective action of strongly coupled heterotic string theory for the complete (1,1) sector of the theory by performing a reduction, on a Calabi-Yau three-fold, of M-theory on S1/Z2. A crucial ingredient for a consistent truncation is a non-zero-mode of the antisymmetric tensor field strength which arises due to magnetic sources on the orbifold planes. The correct effective theory is a gauged version of five-dimensional N = 1 supergravity coupled to Abelian vector multiplets, the universal hypermultiplet and four-dimensional boundary theories with gauge and gauge matter fields, The gauging is such that the dual of the four-form field strength in the universal multiplet is charged under a particular linear combination of the Abelian vector fields. In addition, the theory has potential terms for the moduli in the bulk as well as on the boundary. Because of these potential terms, the supersymmetric ground state of the theory is a multi-charged BPS three-brane domain wall, which we construct in general. We show that the five-dimensional theory together with this solution provides the correct starting point for particle phenomenology as well as early universe cosmology. As an application, we compute the four-dimensional N = 1 supergravity theory for the complete (1, 1) sector to leading non-trivial order by a reduction on the domain wall background. We find a correction to the matter field Kähler potential and threshold corrections to the gauge kinetic functions.
Lu H, Pope CN, Stelle KS, 1999, M-theory/heterotic duality: a Kaluza-Klein perspective, Nuclear Physics B, Vol: 548, Pages: 87-138, ISSN: 0550-3213
We study the duality relationship between M-theory and heterotic string theory at the classical level, emphasising the transformations between the Kaluza-Klein reductions of these two theories on the K3 and T3 manifolds. Particular attention is devoted to the corresponding structures of σ-model cosets and the correspondence between the p-brane charge lattices. We also present simple and detailed derivations of the global symmetries and coset structures of the toroidally compactified heterotic theory in all dimensions D ⩾ 3, making use of the formalism of solvable Lie algebras.
Bremer MS, Duff MJ, Lü H, et al., 1999, Instanton cosmology and domain walls from M-theory and string theory, NUCLEAR PHYSICS B, Vol: 543, Pages: 321-364, ISSN: 0550-3213
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- Citations: 83
Lukas A, Ovrut BA, Stelle KS, et al., 1999, The Universe as a domain wall, Physical Review D: Particles, Fields, Gravitation and Cosmology, Vol: D59, Pages: 086001-1-086001-9, ISSN: 1550-2368
It is shown that the effective five-dimensional theory of the strongly coupled heterotic string is a gauged version of N=1 five-dimensional supergravity with four-dimensional boundaries. For the universal supermultiplets, this theory is explicitly constructed by a generalized dimensional reduction procedure on a Calabi-Yau manifold. A crucial ingredient in the reduction is the retention of a “non-zero mode” of the four-form field strength, leading to the gauging of the universal hypermultiplet by the graviphoton. We show that this theory has an exact three-brane domain wall solution which reduces to Witten’s “deformed” Calabi-Yau background upon linearization. This solution consists of two parallel three-branes with sources provided by the four-dimensional boundary theories and constitutes the appropriate background for a reduction to four dimensions. Four-dimensional space-time is then identified with the three-brane world volume.
Stelle KS, 1999, BPS branes in supergravity, Quantum Field Theory: Perspective and Prospective, Editors: Dewitt-Morette, Zuber, Publisher: Kluwer Academic Publishers, Pages: 257-351
This review considers the properties of classical solutions to supergravity theorieswith partially unbroken supersymmetry. These solutions saturate Bogomol’nyPrasad-Sommerfield bounds on their energy densities and are the carriers ofthe p-form charges that appear in the supersymmetry algebra. The simplestsuch solutions have the character of (p + 1)-dimensional Poincar´e-invariant hyperplanes in spacetime, i.e. p-branes. Topics covered include the relations betweenmass densities, charge densities and the preservation of unbroken supersymmetry;interpolating-soliton structure; diagonal and vertical Kaluza-Klein reduction families; multiple-charge solutions and the four D = 11 elements; duality-symmetrymultiplets; charge quantisation; low-velocity scattering and the geometry of worldvolume supersymmetric σ-models; and the target-space geometry of BPS instantonsolutions obtained by the dimensional reduction of static p-branes.
Stelle KS, 1999, Brane scattering and supersymmetric sigma-model geometries, Supersymmetries and Quantum Symmetries, Vol: 524, Pages: 217-223, ISSN: 0075-8450
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