Consistent truncations in higher derivative supergravity

TL;DR

This paper studies the reduction of heterotic supergravity with higher derivative corrections on a torus, demonstrating consistent truncation of vector multiplets and analyzing corrected BPS black strings.

Contribution

It shows that vector multiplets can be consistently truncated in higher derivative supergravity reductions and applies this to analyze corrected BPS black strings.

Findings

Vector multiplets can be consistently truncated during torus reduction.

The analysis of bosonic and Killing spinor equations supports the truncation.

Application to four-derivative corrected BPS black strings.

Abstract

We consider the torus reduction of heterotic supergravity in the presence of four-derivative corrections. In particular, the reduction on $T^n$ generically leads to a half-maximal supergravity coupled to $n$ vector multiplets, and we show that it is consistent to truncate out said vector multiplets. This is done by the analysis of both the bosonic equations of motion and the Killing spinor equations. As an application of the consistent truncation, we examine the four-derivative corrected BPS black string that reduces to a black hole in minimal nine-dimensional supergravity.