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arXiv · 2410.19600

Modave Lecture notes: Introduction to Exceptional Field Theory

Colin Sterckx
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Abstract

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.

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Colin Sterckx. 2024-10-25. Modave Lecture notes: Introduction to Exceptional Field Theory. https://arxiv.org/abs/2410.19600

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