A Large Class of New Gravitational and Axionic Backgrounds for Four-Dimensional Superstrings

TL;DR

This paper introduces a broad class of new four-dimensional superstring backgrounds featuring non-trivial geometries, supersymmetry, and background fields like axions and dilatons, expanding the landscape of string vacua.

Contribution

It constructs explicit metrics for non-compact Calabi-Yau manifolds with Killing symmetries using duality transformations, revealing new superstring vacua with rich geometric structures.

Findings

Discovery of new superstring vacua with non-trivial geometries

Explicit metrics for non-compact Calabi-Yau manifolds

Identification of duality symmetries preserving N=2 superconformal invariance

Abstract

A large class of new 4-D superstring vacua with non-trivial/singular geometries, spacetime supersymmetry and other background fields (axion, dilaton) are found. Killing symmetries are generic and are associated with non-trivial dilaton and antisymmetric tensor fields. Duality symmetries preserving N=2 superconformal invariance are employed to generate a large class of explicit metrics for non-compact 4-D Calabi-Yau manifolds with Killing symmetries.