Spinorial geometry, horizons and superconformal symmetry in six dimensions

M. Akyol; G. Papadopoulos

doi:10.1088/0264-9381/31/12/123001

Spinorial geometry, horizons and superconformal symmetry in six dimensions

M. Akyol^*, G. Papadopoulos

^*Corresponding author for this work

King's College London

Research output: Contribution to journal › Literature review › peer-review

Abstract

The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to six- dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some six- dimensional black hole horizons are locally isometric to AdS(3) x Sigma(3), where Sigma(3) is diffeomeorphic to S-3. The second one is a description of all supersymmetric solutions of six- dimensional (1,0) superconformal theories and in particular of their brane solitons.

Original language	English
Article number	123001
Number of pages	42
Journal	Classical and Quantum Gravity
Volume	31
Issue number	12
DOIs	https://doi.org/10.1088/0264-9381/31/12/123001
Publication status	Published - 21 Jun 2014

Keywords

spinorial geometry
black holes
conformal symmetry
SUPERSYMMETRIC IIB BACKGROUNDS
QUATERNIONIC KAHLER-MANIFOLDS
EXTREMAL BLACK-HOLES
6-DIMENSIONAL SUPERGRAVITY
MINIMAL SUPERGRAVITY
P-BRANES
COUPLINGS
N=2
SYSTEMATICS
UNIQUENESS

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title = "Spinorial geometry, horizons and superconformal symmetry in six dimensions",

abstract = "The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to six- dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some six- dimensional black hole horizons are locally isometric to AdS(3) x Sigma(3), where Sigma(3) is diffeomeorphic to S-3. The second one is a description of all supersymmetric solutions of six- dimensional (1,0) superconformal theories and in particular of their brane solitons.",

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author = "M. Akyol and G. Papadopoulos",

year = "2014",

month = jun,

day = "21",

doi = "10.1088/0264-9381/31/12/123001",

language = "English",

volume = "31",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd.",

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}

TY - JOUR

T1 - Spinorial geometry, horizons and superconformal symmetry in six dimensions

AU - Akyol, M.

AU - Papadopoulos, G.

PY - 2014/6/21

Y1 - 2014/6/21

N2 - The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to six- dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some six- dimensional black hole horizons are locally isometric to AdS(3) x Sigma(3), where Sigma(3) is diffeomeorphic to S-3. The second one is a description of all supersymmetric solutions of six- dimensional (1,0) superconformal theories and in particular of their brane solitons.

AB - The spinorial geometry method of solving Killing spinor equations is reviewed as it applies to six- dimensional (1,0) supergravity. In particular, it is explained how the method is used to identify both the fractions of supersymmetry preserved by and the geometry of all supersymmetric backgrounds. Then two applications are described to systems that exhibit superconformal symmetry. The first is the proof that some six- dimensional black hole horizons are locally isometric to AdS(3) x Sigma(3), where Sigma(3) is diffeomeorphic to S-3. The second one is a description of all supersymmetric solutions of six- dimensional (1,0) superconformal theories and in particular of their brane solitons.

KW - spinorial geometry

KW - black holes

KW - conformal symmetry

KW - SUPERSYMMETRIC IIB BACKGROUNDS

KW - QUATERNIONIC KAHLER-MANIFOLDS

KW - EXTREMAL BLACK-HOLES

KW - 6-DIMENSIONAL SUPERGRAVITY

KW - MINIMAL SUPERGRAVITY

KW - P-BRANES

KW - COUPLINGS

KW - N=2

KW - SYSTEMATICS

KW - UNIQUENESS

U2 - 10.1088/0264-9381/31/12/123001

DO - 10.1088/0264-9381/31/12/123001

M3 - Literature review

SN - 0264-9381

VL - 31

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 12

M1 - 123001

ER -

Spinorial geometry, horizons and superconformal symmetry in six dimensions

Abstract

Keywords

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