Consistent truncations and dualities

Butter, Daniel; Hassler, Falk; Pope, Christopher N.; Zhang, Haoyu

doi:10.1007/jhep04(2023)007

Consistent truncations and dualities

Journal Article · Mon Apr 03 00:00:00 EDT 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2023)007· OSTI ID:2420084

Butter, Daniel ^[1]; ^[2]; Pope, Christopher N. ^[3]; Zhang, Haoyu ^[3]

Texas A & M Univ., College Station, TX (United States); Texas A & M Univ., College Station, TX (United States)
Texas A & M Univ., College Station, TX (United States); Univ. of Wroclaw (Poland)
Texas A & M Univ., College Station, TX (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Texas A & M Univ., College Station, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010813

OSTI ID:: 2420084

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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