Consistent Warped $\mathbb R\times T^{1,1}$ Reduction of Heterotic Supergravity

TL;DR

This paper establishes a duality between heterotic supergravity and noncritical bosonic string, leading to a new supersymmetric warped vacuum and a consistent reduction to four-dimensional supergravity with specific gauge symmetries.

Contribution

It introduces a novel duality and constructs a supersymmetric warped vacuum, performing a consistent dimensional reduction to four-dimensional supergravity with specific matter content.

Findings

Mapped heterotic vacuum to a supersymmetric warped vacuum

Derived four-dimensional supergravity with specific gauge groups

Identified the preserved supersymmetry fraction

Abstract

We find a curious duality between the bosonic sector of heterotic supergravity and the noncritical bosonic string with conformal anomaly. This allows us to map the Mink$_4\times S^3\times S^3$ vacuum of the bosonic string to a new warped $\mathbb R\times (T^{1,1}\times$Mink$_4)$ vacuum of the heterotic theory, which turns out to be supersymmetric, preserving $1/4$ of the supersymmetry. We perform consistent dimensional reduction of the heterotic theory on the warped $\mathbb R\times T^{1,1}$ internal space and obtain ${\cal N}=1$, $D=4$ supergravity, with one complex scalar multiplet and $SU(2)\times SU(2)$ Yang-Mills multiplets, where the gauge symmetry is originated from the isometry group of $T^{1,1}$.