On quantum deformations of AdS3 × S3 × T4 and mirror duality

Journal of High Energy Physics

Yannik Zimmermann¹  Stijn J. van Tongeren¹  Fiona K. Seibold² 

[1] Institut für Physik, Humboldt-Universität zu Berlin, IRIS Gebäude, Zum Grossen Windkanal 6, 12489, Berlin, Germany;Institut für Theoretische Physik, ETH Zürich, Wolfgang-Pauli-Strasse 27, 8093, Zürich, Switzerland;Blackett Laboratory, Imperial College London, SW7 2AZ, London, U.K.;

关键词: Quantum Groups;    String Duality;    Sigma Models;    AdS-CFT Correspondence;   

DOI  :  10.1007/JHEP09(2021)110

来源: Springer

【 摘 要 】

We consider various integrable two-parameter deformations of the AdS3 × S3 × T4 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 AdS5 × S5 S matrix in the one parameter deformation limit. Finally, we show that the fermionic q-deformed AdS5 × S5 S matrix also satisfies such a relation.

【 授权许可】

CC BY