Supersymmetric conical defects: Towards a string theoretic description of black hole formation

Abstract

. (2001) Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO• the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Conical defects, or point particles, in AdS 3 are one of the simplest nontrivial gravitating systems, and are particularly interesting because black holes can form from their collision. We embed the BPS conical defects of three dimensions into the Nϭ4b supergravity in six dimensions, which arises from the IIB string theory compactified on K3. The required Kaluza-Klein reduction of the six dimensional theory on a sphere is analyzed in detail, including the relation to the Chern-Simons supergravities in three dimensions. We show that the six dimensional spaces obtained by embedding the 3D conical defects arise in the near-horizon limit of rotating black strings. Various properties of these solutions are analyzed and we propose a representation of our defects in the CFT dual to asymptotically AdS 3 ϫS 3 spaces. Our work is intended as a first step towards analyzing colliding defects that form black holes.

Fuzzballs with internal excitations

“…The field strengths F (1) and F (5) vanish, but there are non-vanishing potentials: Now consider the relation between this system and the F1-P system discussed previously.…”

“…In the T 4 case one had to choose a direction in the torus, whilst in the K3 case the choice is implicitly made when one uplifts type IIB solutions from six to ten dimensions. In particular, the uplift splits the 21 anti-self-dual six-dimensional 3-forms into 19 + 1 + 1 associated with the ten-dimensional (F (5) , F (3) , H (3) ) respectively.…”

“…However we can obtain the usual rules by simply dropping the (p > 5)-form field strengths as long as we make sure to self-dualise F (5) in each IIB solution.…”

“…Over the last few years an interesting new proposal for the gravitational nature of black hole microstates has emerged [1,2,3]; see also [4,5,6], and [7]. According to this proposal there should exist non-singular horizon-free geometries associated with the black hole microstates.…”

Partition functions and elliptic genera from supergravity

“…χ is a weak Jacobi form of weight 3 and index k, and admits the expansionχ 21) and Θ µ,k (τ, z I ) was defined in (2.16). The hatted summation appearing in (2.21) is over states with m − 1 4 µ 2 < 0.…”