Aspects of Quantum Fermionic T-duality

Details Aspects of Quantum Fermionic T-duality Aspects of Quantum Fermionic T-duality

2011-01-31

arxiv.org/abs/1101.5969v1

Physics

High Energy Physics

High Energy Physics - Theory

65 pages, 5 figures

Scientific paper

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.

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