AdS$_3$ string vacua and duals to small N=(4,0) CFTs

Abstract: The AdS$_3$/CFT$_2$ correspondence provides the best arena to test the holographic paradigm. This is simultaneously due to the relative tractability of 2d CFTs and the world sheet theory on AdS$_3$ backgrounds. Despite this, when compared to their higher dimensional counterparts, little effort has been made to construct AdS$_3$ string vacua. I will discuss an ongoing program to fill this gap.

There exists a rich variety of superconformal algebras in 2d, with distinct options even for a fixed number of supercharges. This makes the problem of classifying holographic duals to CFTs realising these both interesting and broad. I will discuss how one may systematically realise the various algebras in supergravity, and make use of G-structure techniques to find new classes of solutions in 10 and 11 dimensions. Particular emphasis will be given to a class of solutions in massive IIA preserving small ${\cal N}=(4,0)$ supersymmetry, for which there is a concrete proposal for dual CFTs.

HEP - theory

Audience: researchers in the topic

Exceptional geometry seminar series

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