Supersymmetric AdS_3 solutions in Heterotic Supergravity

TL;DR

This paper classifies supersymmetric AdS_3 solutions in heterotic supergravity based on G-structures, showing constraints on warp factors and fluxes, and demonstrating that solutions satisfy all field equations when Bianchi identities are imposed.

Contribution

It provides a comprehensive classification of AdS_3 solutions with fluxes in heterotic supergravity using G-structures and analyzes their intrinsic torsions and field equations.

Findings

Solutions have no non-trivial warp factor.

M_7 characterized by G_2(SU(3))-structures for N=1,2 and SU(2)-structures for N=3,4.

Field equations are satisfied when Bianchi identities are imposed.

Abstract

We analyze the AdS_3 x M_7 type supersymmetric solutions, including non-trivial fluxes, of the Killing spinor equations in the heterotic supergravity. We classify these solutions by their G-structures and intrinsic torsions, for the cases that the number of seven-dimensional Killing spinors N are equal to 1,2,3 and 4. We find that the solutions cannot have non-trivial warp factor and the seven dimensional manifold M_7 is charactrized by G_2(SU(3))-structures for N=1 (2) case and SU(2)-structure for N=3 and 4 cases. They are further classified by their non-trivial intrinsic torsions. It is shown, including the leading order \alpha'-corrections, that if we impose the Bianchi identities, the integrability conditions of the Killing spinor equations imply all the field equations.