On 'categories' of quantum field theories

Abstract

We give a rough description of the 'categories' formed by quantum field theories. A few recent mathematical conjectures derived from quantum field theories, some of which are now proven theorems, will be presented in this language.

arXiv comment20 pages. submitted to Proceedings of the ICM 2018

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Cited by in corpus (3)

• Ring objects in the equivariant derived Satake category arising from Coulomb branches (with an appendix by Gus Lonergan)
• Asymptotic safety, quantum gravity, and the swampland: a conceptual assessment
• Hyperbolic and trigonometric hypergeometric solutions to the star-star equation