Index theory and dynamical symmetry enhancement of M-horizons

Kayani

et al. 2015

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We show that smooth type IIA Killing horizons with compact spatial sections preserve an even number of supersymmetries, and that the symmetry algebra of horizons with non-trivial fluxes includes an sl(2, R) subalgebra. This confirms the conjecture of [1] for type IIA horizons. As an intermediate step in the proof, we also demonstrate new Lichnerowicz type theorems for spin bundle connections whose holonomy is contained in a general linear group.

Section: The Sl(2 R) Symmetry Of Iia Horizonssupporting

confidence: 65%

Section: Jhep06(2015)139mentioning

confidence: 51%

Section: Jhep06(2015)139mentioning

confidence: 97%

Section: Jhep06(2015)139mentioning

confidence: 99%

Section: Jhep06(2015)139 1 Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dynamical symmetry enhancement near IIA horizons

Gran

Kayani

et al. 2015

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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 .

Supersymmetry of AdS and flat backgrounds in M-theory

Papadopoulos

2015

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We give a systematic description of all warped AdS n and R n−1,1 backgrounds of M-theory and identify the a priori number of supersymmetries that these backgrounds preserve. In particular, we show that AdS n backgrounds preserve N = 2 ] k for n ≤ 4 and]+1 k for 4 < n ≤ 7 supersymmetries while R n−1,1 backgrounds preserve N = 2 ] k for 4 < n ≤ 7, supersymmetries. Furthermore for AdS n backgrounds that satisfy the requirements for the maximum principle to hold, we show that the Killing spinors can be identified with the zero modes of Dirac-like operators on M 11−n coupled to fluxes thus establishing a new class of Lichnerowicz type theorems. We also demonstrate that the Killing spinors of generic warped AdS n backgrounds do not factorize into products of Killing spinors on AdS n and Killing spinors on the transverse space.