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Classification of IIB backgrounds with 28 supersymmetries
We show that all IIB backgrounds with strictly 28 supersymmetries are locally isometric to the plane wave solution of ar**v:hep-th/0206195. Moreover, we demonstrate that all solutions with more than 26 supersy...
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Article
M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
We show that all M-theory backgrounds which admit more than 29 Killing spinors are maximally supersymmetric. In particular, we find that the supercovariant curvature of all backgrounds which preserve 30 supers...
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Article
Horizons in de-Sitter supergravity
We classify all pseudo-supersymmetric extremal near-horizon geometries in minimal five-dimensional de-Sitter supergravity. It is shown that the only such near-horizon geometry is the near-horizon geometry of t...
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Article
Heterotic black horizons
We show that the supersymmetric near horizon geometry of heterotic black holes is either an AdS 3 fibration over a 7-dimensional manifold which admits a G 2 structu...
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Article
Heterotic horizons, Monge-Ampère equation and del Pezzo surfaces
Heterotic horizons preserving 4 supersymmetries have sections which are T 2 fibrations over 6-dimensional conformally balanced Hermitian manifolds. We give new examples of horizons with se...
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Article
Topology of supersymmetric \( \mathcal{N} = 1 \) , D = 4 supergravity horizons
All supersymmetric \( \mathcal{N} = 1 \) , D = 4 supergravity horizons have toroidal or spheric...
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Article
Towards cosmological black rings
We classify all pseudo-supersymmetric near horizon geometries of extremal black holes in five dimensional de-Sitter supergravity coupled to vector multiplets. We find that there are three types of solution. Th...
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Article
IIB black hole horizons with five-form flux and KT geometry
We investigate the near horizon geometry of IIB supergravity black holes with non-vanishing 5-form flux preserving at least two supersymmetries. We demonstrate that there are three classes of solutions disting...
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Open AccessIIB black hole horizons with five-form flux and extended supersymmetry
We classify under some assumptions the IIB black hole horizons with 5-form flux preserving more than 2 supersymmetries. We find that the spatial horizon sections with non-vanishing flux preserving 4 supersymme...
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Article
M-horizons
We solve the Killing spinor equations and determine the near horizon geometries of M-theory that preserve at least one supersymmetry. The M-horizon spatial sections are 9-dimensional manifolds with a Spin(7) s...
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Article
Index theory and dynamical symmetry enhancement of M-horizons
We show that near-horizon geometries of 11-dimensional supergravity preserve an even number of supersymmetries. The proof follows from Lichnerowicz type theorems for two horizon Dirac operators, the field equa...
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Article
Enhanced Euclidean supersymmetry, 11D supergravity and SU(∞) Toda equation
We show how to lift solutions of Euclidean Einstein-Maxwell equations with non-zero cosmological constant to solutions of eleven-dimensional supergravity theory with non-zero fluxes. This yields a class of 11D...
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Index theory and dynamical symmetry enhancement near IIB horizons
We show that the number of supersymmetries of IIB black hole horizons is N =2N − + 2 index(D λ),where index(D λ) is the index of the Dirac o...
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Article
Open AccessIndex theory and supersymmetry of 5D horizons
We prove that the near-horizon geometries of minimal gauged five-dimensional supergravity preserve at least half of the supersymmetry. If the near-horizon geometries preserve a larger fraction, then they are l...
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Article
Open AccessNon-existence of supersymmetric AdS 5 black rings
It has been proven in ar**v:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the i...
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Open AccessSupersymmetry of AdS and flat IIB backgrounds
We present a systematic description of all warped AdS n × w M 10−n and ...
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Open AccessSupersymmetry of AdS and flat backgrounds in M-theory
We give a systematic description of all warped AdS n and ...
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Open AccessDynamical symmetry enhancement near IIA horizons
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 ...
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Open AccessGeometry and supersymmetry of heterotic warped flux AdS backgrounds
We classify the geometries of the most general warped, flux AdS backgrounds of heterotic supergravity up to two loop order in sigma model perturbation theory. We show under some mild assumptions that there are...
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Article
Open AccessSupersymmetry of IIA warped flux AdS and flat backgrounds
We identify the fractions of supersymmetry preserved by the most general warped flux AdS and flat backgrounds in both massive and standard IIA supergravities. We find that AdS n