Consistent Truncations and Dualities

TL;DR

This paper explores the deep connection between consistent truncations and dualities in extended field theories, extending known classes of T-dualities through generalised cosets and systematic ansatz construction.

Contribution

It demonstrates that generalised cosets lead to new consistent truncations and broadens the understanding of T-dualities beyond existing frameworks.

Findings

Generalised cosets produce new consistent truncations.

Systematic construction of truncation ansatzes is possible.

Potential to understand dualities beyond two derivatives.

Abstract

Recent progress in generalised geometry and extended field theories suggests a deep connection between consistent truncations and dualities, which is not immediately obvious. A prime example is generalised Scherk-Schwarz reductions in double field theory, which have been shown to be in one-to-one correspondence with Poisson-Lie T-duality. Here we demonstrate that this relation is only the tip of the iceberg. Currently, the most general known classes of T-dualities (excluding mirror symmetry) are based on dressing cosets. But as we discuss, they can be further extended to the even larger class of generalised cosets. We prove that the latter give rise to consistent truncations for which the ansatz can be constructed systematically. Hence, we pave the way for many new examples of T-dualities and consistent truncations. The arising structures result in covariant tensors with more than two derivatives and we argue how they might be key to understand generalised T-dualities and consistent truncations beyond the leading two derivative level.