Weyl invariance for generalized supergravity backgrounds from the doubled formalism

Abstract

It has recently been shown that a set of the generalized type IIB supergravity equations follows from the requirement of kappa symmetry of the type IIB Green-Schwarz superstring theory defined on an arbitrary background. In this paper, we show that the whole bosonic part of the generalized type II supergravity equations can be reproduced from the T-duality covariant equations of motion of the double field theory by choosing a non-standard solution of the strong constraint. Then, by using the doubled formalism, we show the Weyl invariance of the bosonic string sigma model on a generalized gravity background. According to the dual-coordinate dependence of the dilaton, the Fradkin-Tseytlin term nicely removes the Weyl anomaly. This result seems likely to support that string theories can be consistently defined on arbitrary generalized supergravity backgrounds.

28 pages; v2: typos corrected, clarifications added; v3: typos corrected, references added, to appear in PTEP

References in corpus (2)

• Background Field Equations for the Duality Symmetric String
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions

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