Transfer matrices for AdS3/CFT2

We work out the algebraic Bethe ansatz for the worldsheet theory of the AdS(3 )x S-3 x T-4 superstring, and use it to derive the transfer matrices for fundamental particles and bound states of the string and mirror model. We also show how the Bethe equations and transfer matrices are modified in the presence of an Abelian twist. These will be an important ingredient in the exploration of the mirror thermodynamic Bethe ansatz equations recently proposed by Frolov and Sfondrini, and their generalisation to twisted and deformed models.

Automated summary

The algebraic Bethe ansatz for the worldsheet theory of AdS(3 )x S-3 x T-4 superstring is derived and used to obtain the transfer matrices for fundamental particles and bound states of the string and mirror model. The modifications of the Bethe equations and transfer matrices under the presence of an Abelian twist are also discussed. These results are crucial for the exploration of the recently proposed mirror thermodynamic Bethe ansatz equations by Frolov and Sfondrini, as well as their generalization to twisted and deformed models.