Aspects of Quantum Fermionic T-duality

Abstract

We study two aspects of fermionic T-duality: the duality in purely fermionic sigma models exploring the possible obstructions and the extension of the T-duality beyond classical approximation. We consider fermionic sigma models as coset models of supergroups divided by their maximally bosonic subgroup OSp(m|n)/SO(m) x Sp(n). Using the non-abelian T-duality and a non-conventional gauge fixing we derive their fermionic T-duals. In the second part of the paper, we prove the conformal invariance of these models at one and two loops using the Background Field Method and we check the Ward Identities.

65 pages, 5 figures

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Cited by in corpus (6)

• Fermionic T-duality in the pp-wave limit
• Self-duality of the D1-D5 near-horizon
• Super Non-Abelian T-Duality
• Generalized Dualities and Supergroups
• Fermionic T-duality and U-duality in type II supergravity
• Fermionic Coset, Critical Level W^(2)_4-Algebra and Higher Spins