TY - JOUR

T1 - Index theory and dynamical symmetry enhancement near IIB horizons

AU - Gran, U.

AU - Gutowski, J.

AU - Papadopoulos, G.

PY - 2013

Y1 - 2013

N2 - We show that the number of supersymmetries of IIB black hole horizons is N = 2N- + 2 index(Dλ), where index(D λ) is the index of the Dirac operator twisted with the line bundle λ1/2 of IIB scalars, and N- is the dimension of the kernel of a horizon Dirac operator which depends on IIB fluxes. Therefore, all IIB horizons preserve an even number of supersymmetries. In addition if the horizons have non-trivial fluxes and N- ≠ 0, then index(Dλ) ≥ 0 and the horizons admit an sl(2, ℝ) symmetry subalgebra. This provides evidence that all such horizons have an AdS/CFT dual. Furthermore if the orbits of sl(2, ℝ) are two-dimensional, the IIB horizons are warped products AdS2 xw S.

AB - We show that the number of supersymmetries of IIB black hole horizons is N = 2N- + 2 index(Dλ), where index(D λ) is the index of the Dirac operator twisted with the line bundle λ1/2 of IIB scalars, and N- is the dimension of the kernel of a horizon Dirac operator which depends on IIB fluxes. Therefore, all IIB horizons preserve an even number of supersymmetries. In addition if the horizons have non-trivial fluxes and N- ≠ 0, then index(Dλ) ≥ 0 and the horizons admit an sl(2, ℝ) symmetry subalgebra. This provides evidence that all such horizons have an AdS/CFT dual. Furthermore if the orbits of sl(2, ℝ) are two-dimensional, the IIB horizons are warped products AdS2 xw S.

KW - Black holes in string theory

KW - Supergravity models

UR - http://www.scopus.com/inward/record.url?scp=84896267797&partnerID=8YFLogxK

U2 - 10.1007/JHEP11(2013)104

DO - 10.1007/JHEP11(2013)104

M3 - Article

AN - SCOPUS:84896267797

SN - 1126-6708

VL - 2013

SP - 1

EP - 36

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

M1 - 104

ER -