Modave Lecture notes: Introduction to Exceptional Field Theory

Fuente: arXiv
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Autore principale: Sterckx, Colin
Natura: Preprint
Pubblicazione: 2024
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author Sterckx, Colin
author_facet Sterckx, Colin
contents These notes are based on lectures given at the XIX Modave School on Mathematical Physics and present an introduction to Exceptional Field Theory. We cover the standard Kaluza-Klein reductions on tori, with applications to supergravity. We review the supergravity action of type IIA/IIB and eleven-dimensional supergravities. We motivate the appearance of the hidden symmetry groups $\mathrm{E}_{d(d)}$ through the lens of string dualities. We explore the construction and properties of $\mathrm{E}_{7(7)}$-ExFT and review other $\mathrm{E}_{d(d)}$-ExFT for $3\leq d\leq 8$, as well as double field theories. These notes conclude with some applications of ExFT to consistent truncations.
format Preprint
id arxiv_https___arxiv_org_abs_2410_19600
institution arXiv
publishDate 2024
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spellingShingle Modave Lecture notes: Introduction to Exceptional Field Theory
Sterckx, Colin
High Energy Physics - Theory
These notes are based on lectures given at the XIX Modave School on Mathematical Physics and present an introduction to Exceptional Field Theory. We cover the standard Kaluza-Klein reductions on tori, with applications to supergravity. We review the supergravity action of type IIA/IIB and eleven-dimensional supergravities. We motivate the appearance of the hidden symmetry groups $\mathrm{E}_{d(d)}$ through the lens of string dualities. We explore the construction and properties of $\mathrm{E}_{7(7)}$-ExFT and review other $\mathrm{E}_{d(d)}$-ExFT for $3\leq d\leq 8$, as well as double field theories. These notes conclude with some applications of ExFT to consistent truncations.
title Modave Lecture notes: Introduction to Exceptional Field Theory
topic High Energy Physics - Theory
url https://arxiv.org/abs/2410.19600