Index theory and supersymmetry of 5D horizons

Sabra

2014

Self Cite

It has been proven in arXiv:1303.0853 that all regular supersymmetric nearhorizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions associated with the existence of the additional supersymmetry are analysed, and the near-horizon geometries are determined explicitly. We show that they all correspond to previously constructed examples. Hence, there are no supersymmetric black ring solutions in minimal five-dimensional gauged supergravity.

Section: Jhep11(2014)027 4 Conclusionmentioning

confidence: 96%

Section: Jhep11(2014)027mentioning

confidence: 99%

Section: Jhep11(2014)027mentioning

confidence: 99%

Section: Jhep11(2014)027mentioning

confidence: 99%

Section: Analysis Of Supersymmetrymentioning

confidence: 99%

See 3 more Smart Citations

Non-existence of supersymmetric AdS 5 black rings

Grover

Sabra

2014

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Supersymmetry of AdS and flat IIB backgrounds

Beck

Papadopoulos

2015

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We present a systematic description of all warped AdS n × w M 10−n and R n−1,1 × w M 10−n IIB backgrounds and identify the a priori number of supersymmetries N preserved by these solutions. In particular, we find that the AdS n backgrounds preserve N = 2 ]+1 k for 4 < n ≤ 6 supersymmetries and for k ∈ N + suitably restricted. In addition under some assumptions required for the applicability of the maximum principle, we demonstrate that the Killing spinors of AdS n backgrounds can be identified with the zero modes of Dirac-like operators on M 10−n establishing a new class of Lichnerowicz type theorems. Furthermore, we adapt some of these results to R n−1,1 × w M 10−n backgrounds with fluxes by taking the AdS radius to infinity. We find that these backgrounds preserve N = 2 ] k for 2 < n ≤ 4 and N = 2 ] k for 4 < n ≤ 7supersymmetries. We also demonstrate that the Killing spinors of AdS n × w M 10−n do not factorize into Killing spinors on AdS n and Killing spinors on M 10−n .

Dynamical symmetry enhancement near N $$ \mathcal{N} $$ = 2, D = 4 gauged supergravity horizons

Mohaupt

Papadopoulos

2017

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Abstract:We show that all smooth Killing horizons with compact horizon sections of 4-dimensional gauged N = 2 supergravity coupled to any number of vector multiplets preserve 2c 1 (K) + 4 supersymmetries, where K is a pull-back of the Hodge bundle of the special Kähler manifold on the horizon spatial section. We also demonstrate that all such horizons with c 1 (K) = 0 exhibit an sl(2, R) symmetry and preserve either 4 or 8 supersymmetries. If the orbits of the sl(2, R) symmetry are 2-dimensional, the horizons are warped products of AdS 2 with the horizon spatial section. Otherwise, the horizon section admits an isometry which preserves all the fields. The proof of these results is centered on the use of index theorem in conjunction with an appropriate generalization of the Lichnerowicz theorem for horizons that preserve at least one supersymmetry. In all c 1 (K) = 0 cases, we specify the local geometry of spatial horizon sections and demonstrate that the solutions are determined by first order non-linear ordinary differential equations on some of the fields.