Enhanced Coset Symmetries and Higher Derivative Corrections

TL;DR

This paper investigates how higher derivative corrections influence the enhanced symmetry groups that appear in the effective actions of gravity, M-theory, and string theory after dimensional reduction to three dimensions.

Contribution

It demonstrates that the coefficients of scalar fields related to the Cartan subalgebra are determined by weights of the enhanced symmetry group, extending understanding of symmetry structures with higher derivative terms.

Findings

Higher derivative terms modify the scalar field coefficients.

Scalar coefficients correspond to weights of the symmetry group.

Enhanced symmetry structures persist with corrections.

Abstract

After dimensional reduction to three dimensions, the lowest order effective actions for pure gravity, M-theory and the Bosonic string admit an enhanced symmetry group. In this paper we initiate study of how this enhancement is affected by the inclusion of higher derivative terms. In particular we show that the coefficients of the scalar fields associated to the Cartan subalgebra are given by weights of the enhanced symmetry group.