Publications
175 results found
Deser S, Stelle KS, 2019, Field redefinition's help in constructing non-abelian gauge theories
© 2019 The Authors We study, using the example of general covariance, to what extent a would-be non-abelian extension of free field abelian gauge theory can be helped by a field redefinition; answer – not much! However, models resulting from dimensional reduction also include non-gauge fields needing to be integrated out, thereby offering a wider choice of redefinitions whose effects may indeed change the situation.
Lu H, Perkins A, Pope CN, et al., 2017, Lichnerowicz modes and black hole families in Ricci quadratic gravity, Physical Review D, Vol: 96, ISSN: 2470-0010
A new branch of black hole solutions occurs along with the standard Schwarzschild branch in n-dimensional extensions of general relativity including terms quadratic in the Ricci tensor. The standard and new branches cross at a point determined by a static negative-eigenvalue eigenfunction of the Lichnerowicz operator, analogous to the Gross-Perry-Yaffe eigenfunction for the Schwarzschild solution in standard n=4 dimensional general relativity. This static eigenfunction has two roles: both as a perturbation away from Schwarzschild along the new black-hole branch and also as a threshold unstable mode lying at the edge of a domain of Gregory-Laflamme-type instability of the Schwarzschild solution for small-radius black holes. A thermodynamic analogy with the Gubser and Mitra conjecture on the relation between quantum thermodynamic and classical dynamical instabilities leads to a suggestion that there may be a switch of stability properties between the old and new black-hole branches for small black holes with radii below the branch crossing point.
Stelle KS, 2017, Abdus Salam and quadratic curvature gravity: classical solutions, International Journal of Modern Physics A, Vol: 32, ISSN: 0217-751X
In 1978, Salam and Strathdee suggested on the basis of Froissart boundedness that curvature-squared terms should be included in the gravitational Lagrangian. Despite the presence of ghosts in such theories, the subject has remained a persistent topic in approaches to quantum gravity and cosmology. In this article, the space of spherically symmetric solutions to such theories is explored, highlighting horizonless solutions, wormholes and non-Schwarzschild black holes.
Lu H, Perkins A, Pope CN, et al., 2015, Spherically symmetric solutions in higher-derivative gravity, Physical Review D, Vol: 92, ISSN: 1550-7998
Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantized gravity, including string theory. This article explores the set of static, spherically symmetric and asymptotically flat solutions of this class of theories. An important element in the analysis is the careful treatment of a Lichnerowicz-type “no-hair” theorem. From a Frobenius analysis of the asymptotic small-radius behavior, the solution space is found to split into three asymptotic families, one of which contains the classic Schwarzschild solution. These three families are carefully analyzed to determine the corresponding numbers of free parameters in each. One solution family is capable of arising from coupling to a distributional shell of matter near the origin; this family can then match onto an asymptotically flat solution at spatial infinity without encountering a horizon. Another family, with horizons, contains the Schwarzschild solution but includes also non-Schwarzschild black holes. The third family of solutions obtained from the Frobenius analysis is nonsingular and corresponds to “vacuum” solutions. In addition to the three families identified from near-origin behavior, there are solutions that may be identified as “wormholes,” which can match symmetrically onto another sheet of spacetime at finite radius.
Stelle KS, 2015, Black Holes in Supergravity, 1st Karl Schwarzschild Meeting (KSM) on Gravitational Physics, Publisher: SPRINGER-VERLAG BERLIN, Pages: 207-216, ISSN: 0930-8989
A brief review is given of the use of duality symmetries to form orbits of supergravity black-hole solutions and their relation to extremal (i.e. BPS) solutions at the limits of such orbits. An important technique in this analysis uses a timelike dimensional reduction and exchanges the stationary black-hole problem for a nonlinear sigma-model problem. Families of BPS solutions are characterized by nilpotent orbits under the duality symmetries, based upon a tri-graded or penta-graded decomposition of the corresponding duality group algebra.
Liu H, Perkins A, Pope CN, et al., 2015, Black holes in D=4 higher-derivative gravity, International Journal of Modern Physics A, Vol: 30, ISSN: 0217-751X
Extensions of Einstein gravity with higher-order derivative terms are natural generalizations of Einstein’s theory of gravity. They may arise in string theory and other effective theories, as well as being of interest in their own right. In this paper we study static black-hole solutions in the example of Einstein gravity with additional quadratic curvature terms in four dimensions. A Lichnerowicz-type theorem simplifies the analysis by establishing that they must have vanishing Ricci scalar curvature. By numerical methods we then demonstrate the existence of further black-hole solutions over and above the Schwarzschild solution. We discuss some of their thermodynamic properties, and show that they obey the first law of thermodynamics.
Lu H, Perkins A, Pope CN, et al., 2015, Black Holes in Higher Derivative Gravity, Physical Review Letters, Vol: 114, ISSN: 1079-7114
Extensions of Einstein gravity with higher-order derivative terms arise in string theory and othereffective theories, as well as being of interest in their own right. In this Letter we study static black-holesolutions in the example of Einstein gravity with additional quadratic curvature terms. A Lichnerowicztypetheorem simplifies the analysis by establishing that they must have vanishing Ricci scalar curvature.By numerical methods we then demonstrate the existence of further black-hole solutions over and above theSchwarzschild solution. We discuss some of their thermodynamic properties, and show that they obey thefirst law of thermodynamics.
Stelle KS, 2015, Symmetry orbits of supergravity black holes, THEORETICAL AND MATHEMATICAL PHYSICS, Vol: 182, Pages: 130-140, ISSN: 0040-5779
Crampton B, Pope CN, Stelle KS, 2014, Braneworld localisation in hyperbolic spacetime, Journal of High Energy Physics, Pages: 1-26, ISSN: 1126-6708
We present a construction employing a type IIA supergravity and 3-form fluxbackground together with an NS5-brane that localises massless gravity near the5-brane worldvolume. The nonsingular underlying type IIA solution is a lift to10D of the vacuum solution of the 6D Salam-Sezgin model and has a hyperbolic${\cal H}^{(2,2)}\times S^1$ structure in the lifting dimensions. A fullyback-reacted solution including the NS5-brane is constructed by recognising the10D Salam-Sezgin vacuum solution as a "brane resolved through transgression."The background hyperbolic structure plays a key r\^ole in generating a mass gapin the spectrum of the transverse-space wave operator, which gives rise to thelocalisation of gravity on the 6D NS5-brane worldvolume, or, equally, in afurther compactification to 4D. Also key to the successful localisation ofgravity is the specific form of the corresponding transverse wavefunctionSchr\"odinger problem, which asymptotically involves a $V=-1/(4\rho^2)$potential, where $\rho$ is the transverse-space radius, and for which theNS5-brane source gives rise to a specific choice of self-adjoint extension forthe transverse wave operator. The corresponding boundary condition as$\rho\to0$ ensures the masslessness of gravity in the effective braneworldtheory. Above the mass gap, there is a continuum of massive states which giverise to small corrections to Newton's law.
Bossard G, Howe PS, Stelle KS, 2013, Invariants and divergences in half-maximal supergravity theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 26
Bossard G, Howe PS, Stelle KS, 2013, Anomalies and divergences in N=4 supergravity, PHYSICS LETTERS B, Vol: 719, Pages: 424-429, ISSN: 0370-2693
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- Citations: 17
Stelle KS, 2013, String Theory, Unification and Quantum Gravity, Lecture Notes in Physics, Vol: 99999999, Pages: 3-30, ISSN: 0075-8450
An overview is given of the way in which the unification program of particlephysics has evolved into the proposal of superstring theory as a primecandidate for unifying quantum gravity with the other forces and particles ofnature. A key concern with quantum gravity has been the problem of ultravioletdivergences, which is naturally solved in string theory by replacing particleswith spatially extended states as the fundamental excitations. String theoryturns out, however, to contain many more extended-object states than juststrings. Combining all this into an integrated picture, called M-theory,requires recognition of the r\^ole played by a web of nonperturbative dualitysymmetries suggested by the nonlinear structures of the field-theoreticsupergravity limits of string theory.
Stelle KS, 2012, ULTRAVIOLET INFINITIES AND COUNTERTERMS IN SUPERSYMMETRIC THEORIES, INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, Vol: 9, ISSN: 0219-8878
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- Citations: 4
Pope CN, Pugh TG, Stelle KS, 2012, Chiral reductions in the Salam-Sezgin model, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 1
Bossard G, Howe PS, Stelle KS, et al., 2011, The vanishing volume of D=4 superspace, CLASSICAL AND QUANTUM GRAVITY, Vol: 28, ISSN: 0264-9381
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- Citations: 56
Howe PS, Pugh TG, Stelle KS, et al., 2011, Ectoplasm with an edge, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 10
Bossard G, Howe PS, Lindstrom U, et al., 2011, Integral invariants in maximally supersymmetric Yang-Mills theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 18
Stelle KS, 2011, Non-renormalization theorems in maximal supergravity, PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, Vol: 272, Pages: 246-255, ISSN: 0081-5438
Pugh TG, Sezgin E, Stelle KS, 2011, D=7/D=6 heterotic supergravity with gauged R-symmetry, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 11
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: 44
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: 34
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: 62
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
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- Citations: 17
Stelle KS, 2009, Is N=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, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 10
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
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- Citations: 55
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, 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
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- Citations: 14
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.
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