English

The $\mathfrak{u}(2|2)_1$ WZW model

High Energy Physics - Theory 2023-12-07 v1

Abstract

WZW models based on super Lie algebras play an important role for the description of string theory on AdS spaces. In particular, for the case of AdS3×S3{\rm AdS}_3 \times {\rm S}^3 with pure NS-NS flux the super Lie algebra of psu(1,12)k\mathfrak{psu}(1,1|2)_k appears in the hybrid formalism, and higher dimensional AdS spaces can be described in terms of related supergroup cosets. In this paper we study the WZW models based on u(22)1\mathfrak{u}(2|2)_1 and psu(22)1\mathfrak{psu}(2|2)_1 that may play a role for the worldsheet theory that is dual to free super Yang-Mills in 4D.

Keywords

Cite

@article{arxiv.2312.03135,
  title  = {The $\mathfrak{u}(2|2)_1$ WZW model},
  author = {Matthias R. Gaberdiel and Elia Mazzucchelli},
  journal= {arXiv preprint arXiv:2312.03135},
  year   = {2023}
}
R2 v1 2026-06-28T13:42:15.964Z