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.

arXiv commentv2: 44 pages, typos corrected, references and minor clarifications added, replaced with published version

References in corpus (54)

• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Type IIB superstring action in AdS_5 x S^5 background
• Duality, Quotients, and Currents
• On integrability of the Yang-Baxter $\si$-model
• An integrable deformation of the AdS_5 x S^5 superstring action
• Duality Symmetries from Non--Abelian Isometries in String Theories
• Dual Non-Abelian Duality and the Drinfeld Double
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Some Global Aspects of Duality is String Theory
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• On non-abelian T-dual geometries with Ramond fluxes
• Poisson-Lie T-duality
• On Nonabelian Duality
• On Non-Abelian Duality
• Generalized Duality in Curved String-Backgrounds
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• An Integrable Deformation of the AdS5 x S5 Superstring
• Near Horizon Superspace
• Abelian Yang-Baxter Deformations and TsT transformations
• Non-abelian T-duality, Ramond Fields and Coset Geometries
• Cohomology of Lie superalgebras and of their generalizations
• Integrable deformations of T-dual $\sigma$ models
• A Problem with Non-Abelian Duality
• Gauged WZW models and Non-abelian duality
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Homogeneous Yang-Baxter deformations as non-abelian duals of the AdS_5 sigma-model
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Non-local charges, Zm gradings and coset space actions
• Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
• Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality
• $T$-folds from Yang-Baxter deformations
• Three-dimensional (p,q) AdS superspaces and matter couplings
• Duality-invariant class of two-dimensional field theories
• On AdS_4 x CP^3 T-duality
• Three-dimensional N=2 supergravity theories: From superspace to components
• Self-Duality of Green-Schwarz Sigma-Models
• Homogeneous Conformal String Backgrounds
• Unimodular jordanian deformations of integrable superstrings
• On non-Abelian T-duality for non-semisimple groups
• Poisson-Lie T-dual sigma models on supermanifolds
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• Theory of Superdualities and the Orthosymplectic Supergroup
• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions
• Non-abelian fermionic T-duality in supergravity
• Aspects of Quantum Fermionic T-duality
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
• ABJM flux-tube and scattering amplitudes

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• 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