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 -