O(d+1; d+n+1)-invariant formulation of stationary heterotic string theory

摘要

We present a pair of symmetric formulations of the matter sector of the stationary effective action of heterotic string theory that arises after the toroidal compactification of d dimensions. The first formulation is written in terms of a pair of matrix potentials Z(1) and Z(2) which exhibits a clear symmetry between them and can be used to generate new families of solutions on the basis of either Z(1) or Z(2); the second one is an O(d + 1; d + n + 1)-invariant formulation which is written in terms of a matrix vector W endowed with an O(d + 1; d + n + 1)-invariant scalar product which linearizes the action of the O(d + 1; d + n + 1) symmetry group on the coset space O(d + 1; d + n + 1)/[ O(d + 1) x O(d + n + 1)]; this fact opens as well a simple solution-generating technique which can be applied on the basis of known solutions. [References: 18]