Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2

Abstract

We consider superstrings on the pure-Ramond-Ramond AdS 3 × S 3 × T 4 background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and use it to derive the canonical mirror thermodynamic Bethe ansatz (TBA) equations of the model. For the first time, these equations account for all massive and massless modes of the model, and do not resort to any limit or special kinematics. We also discuss the simplified mirror TBA equations and the Y-system of the model.

Mirror thermodynamic Bethe ansatz for AdS3/CFT2

“…While there are several results at one-and two-loops in the literature [65][66][67][68][69][70], some of these results are manifestly incompatible with integrability. A possible reason for this mismatch is that those computations involved both an IR and UV regulator resulting in an order-of-limits problem, see [71] for a discussion of this point and of the mismatches.…”