O(d,d) invariance at two and three loops

Abstract

We show that in a two-dimensional sigma-model whose fields only depend on one target space co-ordinate, the O(d,d) invariance of the conformal invariance conditions observed at one loop is preserved at two loops (in the general case with torsion) and at three loops (in the case without torsion).

21 pages. Plain Tex. Uses Harvmac ("b" option). Revised Version with references added and minor errors corrected

References in corpus (1)

• Duality and Dilaton

Cited by in corpus (10)

• String Dualities at Order ${\alpha }^{\prime 3}$
• Integrable sigma models and 2-loop RG flow
• The first ${\alpha }^{\prime }$-correction to homogeneous Yang-Baxter deformations using $O(d,d)$
• Poisson-Lie Duality in the String Effective Action
• Topological Gauging and Double Current Deformations
• Stringy corrections to a time-dependent background solution of string and M-Theory
• Two-loop conformal invariance for Yang-Baxter deformed strings
• Quadratic alpha' corrections to T-duality
• Non-Abelian Duality in the String Effective Action
• Non-Abelian T-duality of $Ad{S}_{d\le 3}$ families by Poisson-Lie T-duality