Index theory and dynamical symmetry enhancement near IIB horizons
Artikel i vetenskaplig tidskrift, 2013

We show that the number of supersymmetries of JIB black hole horizons is N = 2N_ + 2 index(D-lambda), where index(D-lambda) is the index of the Dirac operator twisted with the line bundle lambda(1/2) 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_ not equal 0, then index(D-lambda) >= 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 AdS(2) x(w) S.

manifolds

Supergravity Models

supergravity

Black Holes in String Theory

backgrounds

Författare

Ulf Gran

Chalmers, Teknisk fysik, Matematisk fysik

J. Gutowski

University of Surrey

G. Papadopoulos

King's College London

Journal of High Energy Physics

1126-6708 (ISSN) 1029-8479 (eISSN)

11

Ämneskategorier

Fysik

Fundament

Grundläggande vetenskaper

DOI

10.1007/jhep11(2013)104