Duality in Heterotic Vacua With Four Supercharges

TL;DR

This paper explores dualities between heterotic string vacua with four supercharges and their M/F-theory duals, analyzing their moduli spaces and deriving Kahler potentials through compactifications.

Contribution

It provides a detailed derivation of Kahler potentials for heterotic and dual theories via compactifications, enhancing understanding of heterotic dualities in lower dimensions.

Findings

Derived Kahler potential for heterotic vacua from circle compactifications.

Computed Kahler potential of dual theories via supergravity compactification on Calabi-Yau fourfolds.

Confirmed duality for K3-fibered fourfolds and discussed F-theory limits.

Abstract

We study heterotic vacua with four supercharges in three and four space-time dimensions and their duals obtained as M/F-theory compactified on Calabi-Yau fourfolds. We focus on their respective moduli spaces and derive the Kahler potential for heterotic vacua obtained as circle compactifications of four-dimensional N=1 heterotic theories. The Kahler potential of the dual theory is computed by compactifying 11-dimensional supergravity on Calabi-Yau fourfolds. The duality between these theories is checked for K3-fibred fourfolds and an appropriate F-theory limit is discussed.