AdS${}_3$ String Stars at Pure NSNS Flux

Abstract

We study Horowitz-Polchinski string stars in pure AdS${}_3$ near the Hagedorn temperature using the technique of worldsheet conformal perturbation theory. Since the worldsheet CFT for pure AdS${}_3$ is known exactly, our methodology provides a systematic way to construct Horowitz-Polchinski backgrounds to all orders in ${\alpha }^{\prime }$. We explicitly construct the leading string star equations in a double expansion in temperature and WZW level $k$ which we then solve numerically.

32+1 pages, 6 figures, 2 integral identities, 5 stars and 1 bulb of garlic