Symplectic half-flat solvmanifolds

TL;DR

This paper classifies certain solvable Lie groups with special geometric structures and demonstrates their relevance in solving supersymmetric equations in string theory.

Contribution

It provides a classification of solvable Lie groups with symplectic half-flat structures and links these to solutions of type IIA supersymmetric equations.

Findings

Classified solvable Lie groups with symplectic half-flat structures.

Established solutions to type IIA supersymmetric equations from these structures.

Identified conditions under which these structures admit compact quotients.

Abstract

We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA.