On quantum deformations of AdS3 × S3 × T4 and mirror duality
Fiona K. Seibold, Stijn J. van Tongeren, Yannik Zimmermann
Abstract
A bstract We consider various integrable two-parameter deformations of the AdS 3 × S 3 × T 4 superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to quadratic order in fermions, we obtain their common massive tree-level two-body S matrix, which matches the expansion of the conjectured exact q -deformed S matrix. We then analyze the behavior of the exact S matrix under mirror transformation — a double Wick rotation on the worldsheet — and find that it satisfies a mirror duality relation analogous to the distinguished q -deformed AdS 5 × S 5 S matrix in the one parameter deformation limit. Finally, we show that the fermionic q -deformed AdS 5 × S 5 S matrix also satisfies such a relation.