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arXiv · 2402.10269

On the universal exceptional structure of world-volume theories in string and M-theory

David Osten
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Abstract

A universal structure of world-volume theories of half-BPS branes in string and M-theory in terms of exceptional generalised geometry is observed. Previous constructions are extended in two ways: from internal $d$-dimensional space to full 11- or 10-dimensional spacetimes, by coupling to the tensor hierarchy gauge fields, and from $E_{d(d)}$ with $d\leq 6$ to $E_{7(7)}$ and $E_{8(8)}$. This is done by a clarification of the role of the tensor hierarchy and its end in the context of brane world-volume theories. The exceptional structure of the gauged $\sigma$-model of the Kaluza-Klein monopole is provided as a new example.

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David Osten. 2024-02-15. On the universal exceptional structure of world-volume theories in string and M-theory. https://arxiv.org/abs/2402.10269

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