T-Duality and Two-Loop Renormalization Flows

Abstract

Manifest T-duality covariance of the one-loop renormalization group flows is shown for a generic bosonic sigma model with an abelian isometry, by referring a set of previously derived consistency conditions to the tangent space of the target. For a restricted background, T-duality transformations are then studied at the next order, and the ensuing consistency conditions are found to be satisfied by the two-loop Weyl anomaly coefficients of the model. This represents an extremely non-trivial test of the covariance of renormalization group flows under T-duality, and a stronger condition than T-duality invariance of the string background effective action.

18 pp., plain TeX + harvmac. Typos in Eqs. (4.3), (4.5) and (4.7) corrected, and references added

References in corpus (1)

• Duality and Dilaton

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