Infinite-Dimensional Symmetries of Two-Dimensional Coset Models Coupled to Gravity

Abstract

In an earlier paper we studied the infinite-dimensional symmetries of symmetric-space sigma models (SSMs) in a flat two-dimensional spacetime. Here, we extend our investigation to the case of two-dimensional SSMs coupled to gravity. These theories arise from the toroidal reduction of higher-dimensional gravity and supergravities to two dimensions. We construct explicit expressions for the symmetry transformations under the affine Kac-Moody extension $\hat{G}$ that arises when starting from a G/H coset model. We also construct further explicit symmetry transformations that correspond to the modes L_n of a Virasoro subalgebra with $n\ge -1$.

arXiv comment27 pages

References in corpus (4)

• Dualisation of Dualities, I
• Classical Symmetries of Some Two-Dimensional Models
• Conformal internal symmetry of $2d$ $\sigma$-models coupled to gravity and a dilaton
• Classical Symmetries of Some Two-Dimensional Models Coupled to Gravity

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