Towards integrability for AdS3/CFT2

Understand

We review the recent progress towards applying worldsheet integrability techniques to the $AdS_3/CFT_2$ correspondence to find its all-loop S matrix and Bethe-Yang equations.

• We study in full detail the massive sector of $AdS_3\times S^3\times T^4$ superstrings supported by pure Ramond-Ramond (RR) fluxes.
• The extension of this machinery to accommodate massless modes, to the $AdS_3\times S^3\times S^3\times S^1$ pure-RR background and to backgrounds supported by mixed background fluxes is also reviewed.
• While the results discussed here were found elsewhere, our presentation sometimes deviates from the one found in the original literature in an effort to be pedagogical and self-contained.