Iberian Strings Meetings 

21/01/2021, 09:00 — 10:00 — Online
Jerome Gauntlett, Imperial College London

Geometric Extremization for AdS/CFT and Black Hole Entropy

Review lecture on Geometric Extremization for AdS/CFT and Black Hole Entropy.

Certain physical properties of SCFTs with an abelian R-symmetry are determined by the R-symmetry. Furthermore, the R-symmetry can be obtained by an extremization principle. If the SCFT has a holographic dual there is a geometric version of the extremization principle which is a powerful tool in identifying and studying the dual SCFT as well as being of intrinsic geometric interest.

We focus on supersymmetric $AdS_3 \times Y^7$ solutions of type IIB supergravity dual to $N=(0,2)$ SCFTs in $d=2$, as well as $AdS_2 \times Y^9$ solutions of $D=11$ supergravity dual to $N=2$ supersymmetric QMs, some of which arise as the near horizon limit of supersymmetric, charged black hole solutions in $AdS_4$. Our results allow us to identify infinite classes of $d=2$ SCFTs and susy QMs that are obtained by by wrapping higher dimensional SCFTs on Riemann surfaces. For the latter case our results provide a microstate counting of the entropy of a class of supersymmetric black holes in $AdS_4$.

See also

21_IberianStrings_gauntlett.pdf