Construction of Supergravity Backgrounds with a Dilaton Field

TL;DR

This paper constructs new supergravity backgrounds with non-constant dilaton fields, including Calabi-Yau cases, and explores their supersymmetric sigma-models and dualities.

Contribution

It introduces a novel class of non-compact Kahler backgrounds with a dilaton, extending supergravity solutions to include non-Kahlerian geometries via U(1) duality.

Findings

Constructed supergravity solutions with U(1) isometry.

Derived non-Kahlerian solutions preserving N=2 supersymmetry.

Included Calabi-Yau manifolds as special cases.

Abstract

A new class of non-compact Kahler backgrounds accompanied by a non-constant dilaton field is constructed as a supergravity solution. It is interpreted as a complex line bundle over a base manifold comprising of a combination of arbitrary coset spaces, and also includes the case of Calabi-Yau manifolds. The resulting backgrounds have U(1) isometry. We consider N=2 supersymmetric sigma-models on them, and derive a non-Kahlerian solution by U(1) duality transformation, which preserves N=2 supersymmetry.