Twisted eleven-dimensional supergravity and infinite-dimensional excep…
김선우
27동 220호
0
103
2025.10.10 10:28
| 구분 | 초청강연 |
|---|---|
| 일정 | 2025-10-21 13:30 ~ 16:30 |
| 강연자 | Surya Raghavendran (Yale University) |
| 기타 | |
| 담당교수 | 유필상 |
일자: 10월 21일
시간: 14시~15시: pretalk
15시~16시 : research talk
Title: Twisted eleven-dimensional supergravity and infinite-dimensional exceptional simple super Lie algebras
Abstract: I’ll describe a perturbative classical field theory defined on 11-manifolds with a rank 6 transversely holomorphic foliation and a transverse Calabi–Yau structure. The theory has an infinite-dimensional algebra of gauge symmetries preserving the trivial background, which is $L_\infty$ equivalent to a Lie 2-extension of the infinite-dimensional exceptional simple super Lie algebra $E(5|10)$. Conjecturally, this theory describes the minimal twist of eleven-dimensional supergravity. After describing this conjecture, and evidence for it, I’ll describe twisted avatars of the $AdS_7\times S^4$ and $AdS_4\times S^7$ backgrounds, and how two other infinite-dimensional exceptional simple super Lie algebras $E(3|6)$ and $E(1|6)$ appear as asymptotic symmetries. Enumerating gravitons on such backgrounds naturally leads to refinements of generating functions of representation-theoretic significance, such as the MacMahon function.
In a pretalk, I will explain some surrounding notions in detail, such as what it means to twist a theory of supergravity, and how one can describe ten dimensional examples in terms of topological string theory.
10월 13일에 공지 부탁드립니다.
분류된 시간도 꼭 포함하여 주십시오.
Geometry, Physics, and Symmetry seminar
