Abstract
We continue our study of the worldsheet theory of superstrings on AdS3× S3× \U0001d54b4 in the tensionless limit [1]. We consider the theory on higher genus surfaces. We give evidence that the worldsheet correlators localise on certain worldsheets that cover the boundary of AdS3 holomorphically. This simplifies the string moduli space integral dramatically to a finite sum. This property shows that the higher genus corrections of the string worldsheet reproduce the structure of the 1/N corrections in the dual symmetric orbifold CFT SymN (\U0001d54b4).
Highlights
The AdS/CFT correspondence [2] has so far been mainly explored in its supergravity regime or at tree-level in string theory
Since we are mainly interested in superstring theory on AdS3, we shift the level of the WZW model by two units, i.e. we are considering SL(2, R)k+2
We have studied correlation functions of the SL(2, R)k+2 WZW model on higher genus Riemann surfaces
Summary
The AdS/CFT correspondence [2] has so far been mainly explored in its supergravity regime or at tree-level in string theory. Evidence was given that the string theory moduli space integral for genus 0 localises to a set of points, reducing the string theory correlation functions to finite sums over certain punctured Riemann spheres This is exactly the structure that one find in the symmetric orbifold, where correlation functions can be reduced to correlators on certain covering spaces that were proposed to be identified with the worldsheet [1, 18]. It was argued in [1] that the value of the localised correlators follows exactly from evaluating the on-shell action of the classical solution that corresponds to a given correlator. The worldsheet spectrum was evaluated in [17] and it was found that it matches precisely the symmetric orbifold of T4 in the large N limit
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