BLACK HOLE MICROSTATES AND HOLOGRAPHY IN THE D1D5 CFT
Abstract
In this thesis we exploit the setup of AdS3/CFT2 holography, and in particular the
D1D5 two-dimensional CFT, to describe states dual to geometries relevant for the
\fuzzball" proposal for the description of six-dimensional black hole microstates. Precise
holographic dualities between CFT and bulk geometric objects are established and
checked, both for 2 and 3-charge states. In particular, VEVs of CFT operators of small
conformal dimension are checked to encode deviations from AdS3 geometry near the
spacetime boundary. 4-point functions of the \heavy-heavy-light-light" type are also
considered and matching is found between CFT and bulk computations via the usual
AdS/CFT prescription, with the heavy states being dual to (simple) microstate geometries.
In this context, the issue of the presence of spurious singularities at leading
order in the large N limit is assessed and cancellations are found even without considering
sub-leading corrections, at the cost of considering the full detail of the D1D5
CFT (i.e. including the Virasoro blocks of operators of small dimension charged under
the internal SU(2)L SU(2)R R-symmetry group). Finally, more complicated 4-point
functions, involving operators in the twisted sector of the CFT, are computed and the
results are checked against known results in the literature with the aim of verifying
the robustness of the (new) techniques used. Supersymmetric Ward identities are also
derived, and checked for some cases, between correlators written in terms of bosons
and in terms of fermions.
Authors
Moscato, EmanueleCollections
- Theses [4125]