Quantum corrections of Abelian Duality Transformations

Abstract

A modification of the Abelian Duality transformations is proposed guaranteeing that a (not necessarily conformally invariant) $\sigma$-model be quantum equivalent (at least up to two loops in perturbation theory) to its dual. This requires a somewhat non standard perturbative treatment of the {\sl dual} $\sigma$-model. Explicit formulae of the modified duality transformation are presented for a special class of block diagonal purely metric $\sigma$-models.

Latex 11 pages; remarks on a free model and references added

References in corpus (6)

• Target Space Duality in String Theory
• Duality, Quotients, and Currents
• Duality and Dilaton
• On Non-Abelian Duality
• Exact Duality Symmetries in CFT and String Theory
• On field redefinitions and exact solutions in string theory

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• T-Duality and Two-Loop Renormalization Flows
• A two-dimensional integrable axionic sigma-model and T-duality
• Poisson-Lie Duality in the String Effective Action
• Quantum equivalence of sigma models related by non Abelian Duality Transformations
• Remarks on T-duality for open strings
• The nonminimal scalar multiplet: duality, sigma-model, beta-function
• Aspects of Quantum Fermionic T-duality
• Dualised sigma-models at the two-loop order
• T-Duality and Conformal Invariance at Two Loops
• Non-Abelian Duality in the String Effective Action
• T-Duality without Quantum Corrections
• Algebra of Lax Connection for T-Dual Models
• A Two-loop Test of Buscher's T-duality I
• Supersymmetric Quantum Corrections and Poisson-Lie T-Duality