The $\mathfrak{u}(2|2)_1$ WZW model
2023
Online
report
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 ${\rm AdS}_3 \times {\rm S}^3$ with pure NS-NS flux the super Lie algebra of $\mathfrak{psu}(1,1|2)_k$ 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 $\mathfrak{u}(2|2)_1$ and $\mathfrak{psu}(2|2)_1$ that may play a role for the worldsheet theory that is dual to free super Yang-Mills in 4D.
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The $\mathfrak{u}(2|2)_1$ WZW model
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Autor/in / Beteiligte Person: | Gaberdiel, Matthias R. ; Mazzucchelli, Elia |
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Veröffentlichung: | 2023 |
Medientyp: | report |
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