Classification of supersymmetries
| dc.creator | Kac, Victor G. | |
| dc.date | 2003-02-07 | |
| dc.date | 2002-12-01 | |
| dc.date.accessioned | 2026-07-07T04:29:47Z | |
| dc.date.available | 2026-07-07T04:29:47Z | |
| dc.description | In the first part of my talk I will explain a solution to the extension of Lie's problem on classification of "local continuous transformation groups of a finite-dimensional manifold" to the case of supermanifolds. (More precisely, the problem is to classify simple linearly compact Lie superalgebras, i.e. toplogical Lie superalgebras whose underlying space is a topological product of finite-dimensional vector spaces). In the second part I will explain how this result is used in a classification of superconformal algebras. The list consists of affine superalgebras and certain super extensions of the Virasoro algebra. In the third part I will discuss representation theory of affine superalgebras and its relation to "almost" modular forms. Furthermore, I will explain how the quantum reduction of these representations leads to a unified representation theory of super extensions of the Virasoro algebra. In the forth part I will discuss representation theory of exceptional simple infinite-dimensional linearly compact Lie superalgebras and will speculate on its relation to the Standard Model. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0302016 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0302016 | |
| dc.identifier | Proceedings of the ICM, Beijing 2002, vol. 1, 319--344 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57284 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Representation Theory | |
| dc.subject | 20C30, 20J05 | |
| dc.title | Classification of supersymmetries | |
| dc.type | text |