Symmetry enhancement of extremal horizons in
                    <i>D</i>
                      =  5 supergravity

Kayani, U.

doi:10.1088/1361-6382/aac30c

Cited by 4 publications

(5 citation statements)

References 63 publications

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“…Note in this context that rotating supersymmetric Nil and SL(2, R) near-horizon geometries were found in [30]. Moreover, it is worth mentioning that the near-horizon limit of all supersymmetric extremal black holes in gauged (and ungauged) five-dimensional supergravity coupled to abelian vector multiplets must admit an SL(2, R) symmetry group [31].…”

Section: Jhep12(2019)151mentioning

confidence: 83%

Black holes in Sol minore

Faedo

Farotti

Klemm

2019

J. High Energ. Phys.

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We consider black holes in five-dimensional N = 2 U(1)-gauged supergravity coupled to vector multiplets, with horizons that are homogeneous but not isotropic. We write down the equations of motion for electric and magnetic ansätze, and solve them explicitely for the case of pure gauged supergravity with magnetic U(1) field strength and Sol horizon. The thermodynamics of the resulting solution, which exhibits anisotropic scaling, is discussed. If the horizon is compactified, the geometry approaches asymptotically a torus bundle over AdS 3. Furthermore, we prove a no-go theorem that states the nonexistence of supersymmetric, static, Sol-invariant, electrically or magnetically charged solutions with spatial cross-sections modelled on solvegeometry. Finally, we study the attractor mechanism for extremal static non-BPS black holes with nil-or solvegeometry horizons. It turns out that there are no such attractors for purely electric field strengths, while in the magnetic case there are attractor geometries, where the values of the scalar fields on the horizon are computed by extremization of an effective potential V eff , which contains the charges as well as the scalar potential of the gauged supergravity theory. The entropy density of the extremal black hole is then given by the value of V eff in the extremum.

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Section: Jhep12(2019)151mentioning

confidence: 83%

Black holes in Sol minore

Faedo

Farotti

Klemm

2019

J. High Energ. Phys.

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“…Establishing the horizon conjecture relies on establishing Lichnerowicz-type theorems and an index theory argument. A similar analysis has been conducted for IIA, Roman's Massive IIA and IIB, D = 5 gauged with vector multiplets and D = 4 gauged [16,17,18,19,20,21]. We shall also establish the sl(2, R) symmetry algebra for nearhorizon geometries.…”

Section: Introductionmentioning

confidence: 79%

“…Another avenue for future research would be to extend the analysis for an arbitrary number of tensor and vector multiplets; similar to the calculation in D = 4, 5 with vector multiplets [21,20]. In six dimensions, near horizon geometries have been classified in N = (1, 0) for many cases and for those with an arbitrary number of tensor multiplets [45] have near horizon geometries locally given by R 1,1 × T 4 , R 1,1 × K 3 or AdS 3 × S 3 .…”

Section: Discussionmentioning

confidence: 99%

“…It is not a priori apparent that Index(D (+) ) will be an even number but in all examples investigated so far the index it is either an even number e.g IIB supergravity [19] or it vanishes for odd-dimensional manifolds [59] e.g in D = 5 [20] and it is expected to vanish for non-chiral even-dimensional supergravities e.g IIA supergravity [18,17]. Also if N − = 0, then N = Index(D (+) ) and the number of Killing spinors is completely determined by the topology of S; but it turns out that such near horizon geometries are rather restricted and likely all the fluxes vanish and the scalars become constant.…”

Section: (Super)symmetry Enhancementmentioning

confidence: 99%

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Symmetry enhancement of Killing horizons in D = 6 supergravity

Kayani

2019

Preprint

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We investigate the near-horizon geometry of supersymmetric extremal black holes in 6-dimensional gauged supergravity. We solve the Killing spinor equations along the lightcone and establish the independent differential and algebraic conditions which are given as the naive restriction of the KSEs on S. By analyzing the global properties of the Killing spinors, we prove that the near-horizon geometries undergo a (super)symmetry enhancement. This follows from generalized Lichnerowicz-type theorems for the zero modes of the Dirac operator and an index theory argument. We also prove that horizons with non-trivial fluxes admit an sl(2, R) symmetry group.

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“…The conjecture has been proven for various theories which include d = 11 [221], (massive) IIA [223,224] , IIB [222] and heterotic supergravities [225]. It has also been demonstrated for the minimal gauged N = 1 d = 5 supergravity [226], the N = 2 d = 4 gauged supergravity coupled to any number of vector fields [227] and the N = 1 d = 5 supergravity coupled to any number of vector fields [228].…”

Section: The Horizon Conjecturementioning

confidence: 87%

Classification, geometry and applications of supersymmetric backgrounds

2019

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We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.

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Symmetry enhancement of extremal horizons in D = 5 supergravity

Cited by 4 publications

References 63 publications

Black holes in Sol minore

Black holes in Sol minore

Symmetry enhancement of Killing horizons in D = 6 supergravity

Classification, geometry and applications of supersymmetric backgrounds

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