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Higher geometry in physics

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arxiv 2312.07308 v2 pith:J66V2V4R submitted 2023-12-12 hep-th math-phmath.ATmath.MP

classification hep-thmath-phmath.ATmath.MP
keywords higherphysicsgeometryaccessibleapplicationsarticlebatalin-vilkoviskycontribution
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This survey article is an invited contribution to the Encyclopedia of Mathematical Physics, 2nd edition. We provide an accessible overview on relevant applications of higher and derived geometry to theoretical physics, including higher gauge theory, higher geometric quantization and Batalin-Vilkovisky formalism.

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  1. Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.

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