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Brian R. Williams

Brian R. Williams, University of Edinburgh
Exceptional super Lie algebras in twisted M-theory

With Saberi and Raghavendran we constructed, in the BV formalism, the minimal, holomorphic, twist of 11-dimensional supergravity. Amazingly, on flat space, the theory shares a close relationship to an exceptional simple super Lie algebra called $E(5,10)$. Motivated by holographic duality, I’ll turn attention to symmetries of the theories on M2 and M5 branes. In the twisted setting, we find that the superconformal algebra enhances to other infinite-dimensional exceptional super Lie algebras. I will discuss further extensions of these exceptional algebras to factorization algebras and applications to pinning down correlation functions in M-theory.

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Brian Williams' slides

Local participants are invited to join us in room 3.10 (3rd floor, Mathematics Department, Instituto Superior Técnico). 

Please note that the TQFT club seminars will be shifting to Wednesdays instead of Fridays, at the same time, 5 p.m. Lisbon time, at least until March 2022.