Gauge-fixing local H symmetry in supergravities

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Hauptverfasser: Kallosh, Renata, Samtleben, Henning, Van Proeyen, Antoine
Format: Preprint
Veröffentlicht: 2024
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author Kallosh, Renata
Samtleben, Henning
Van Proeyen, Antoine
author_facet Kallosh, Renata
Samtleben, Henning
Van Proeyen, Antoine
contents We discuss known maximal D-dimensional supergravities of two types: type I with G/H coset spaces and type II derived by compactification from higher dimensions without dualization, these have less manifest symmetries. In 4D and 6D in type I models we perform explicit gauge-fixing of local H symmetries in unitary gauges: symmetric, Iwasawa, and partial Iwasawa. In 4D supergravity I in symmetric gauge global H-invariance and nonlinearly realized G-symmetry are valid on shell, classically. The global H-symmetry and G-symmetry in Iwasawa-type gauges in type I and type II supergravities are not manifest, if at all present. This fact raises the issue of the gauge equivalence of the S-matrix of various gauge-fixed D-dimensional supergravities and its relation to the ones computable using superamplitude methods.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18950
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gauge-fixing local H symmetry in supergravities
Kallosh, Renata
Samtleben, Henning
Van Proeyen, Antoine
High Energy Physics - Theory
We discuss known maximal D-dimensional supergravities of two types: type I with G/H coset spaces and type II derived by compactification from higher dimensions without dualization, these have less manifest symmetries. In 4D and 6D in type I models we perform explicit gauge-fixing of local H symmetries in unitary gauges: symmetric, Iwasawa, and partial Iwasawa. In 4D supergravity I in symmetric gauge global H-invariance and nonlinearly realized G-symmetry are valid on shell, classically. The global H-symmetry and G-symmetry in Iwasawa-type gauges in type I and type II supergravities are not manifest, if at all present. This fact raises the issue of the gauge equivalence of the S-matrix of various gauge-fixed D-dimensional supergravities and its relation to the ones computable using superamplitude methods.
title Gauge-fixing local H symmetry in supergravities
topic High Energy Physics - Theory
url https://arxiv.org/abs/2409.18950