Super Non-Abelian T-Duality

Abstract

We analyse super non-Abelian T-duality for principal chiral models, symmetric space sigma models, and semi-symmetric space sigma models for general Lie supergroups. This includes T-duality along both bosonic and fermionic directions. As an example, we perform the explicit dualisation of the OSp(1|2) principal chiral model, and, whilst the target superspace of this model is a three-dimensional supergravity background, we find that its super non-Abelian T-dual falls outside the class of such backgrounds.

v2: 44 pages, typos corrected, references and minor clarifications added, replaced with published version

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Cited by in corpus (6)

• Generalized Dualities and Supergroups
• A hierarchy of WZW models related to super Poisson-Lie T-duality
• T-duality/plurality of BTZ black hole metric coupled to two fermionic fields
• Fermionic T-duality of DFT
• Yang-Baxter deformations of the OSP(1|2) WZW model
• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations