Superstrings on AdS_3 and Symmetric Products

TL;DR

This paper explores the properties of N=2 superstrings on AdS_3 x N, revealing their spectrum aligns with symmetric product conformal field theories, linking string states to symmetric orbifold sectors.

Contribution

It establishes a correspondence between superstring spectra on AdS_3 backgrounds and symmetric product CFTs, providing insights into the structure of long string sectors.

Findings

Spectrum matches symmetric product CFT patterns

Worldsheet operators correspond to twisted sectors

Long string operators relate to symmetric orbifold sectors

Abstract

Some properties of N=2 superstrings on AdS_3 x N are studied. Their spectrum has the same pattern as 2-d CFTs in the moduli space of symmetric products M^p/S_p, where p is associated with the number of long fundamental strings required to construct the AdS_3 background, and M is the spacetime CFT corresponding to short string excitations of a single long string. Worldsheet operators associated with w long strings correspond to twisted sectors of M^p/S_p.