Non-Abelian Duality in the String Effective Action

Abstract

We study the symmetry of the one-loop effective action of bosonic string theory under non-Abelian T-duality transformations. It is shown that the original Lagrangian and its dual are proportional. This result implies that the corresponding reduced low energy effective actions are equivalent and leads to a functional relation between the Weyl anomaly coefficients of the original and dual two-dimensional non-linear sigma models. {}Finally, we apply this formalism to some simple examples.

26 pages, LaTeX, minor changes and typos corrected. Accepted for publication in Nuclear Physics B

References in corpus (3)

• The O(dd) Story of Massive Supergravity
• O(d,d) invariance at two and three loops
• Dilaton transformation under abelian and non-abelian T-duality in the path integral approach

Cited by in corpus (4)

• High spin limits and non-abelian T-duality
• Poisson-Lie Duality in the String Effective Action
• Non-Abelian T-duality in Pre-Big-Bang Cosmology
• Global Space-time Symmetries Gauging and Kaluza-Klein Dimensional Reduction