Defining relations for the exceptional Lie superalgebras of vector fields pertaining to The Standard Model
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We list defining relations for the four of the five exceptional simple Lie superalgebras some of which, as David Broadhurst conjectured and Kac demonstrated, may pertain to The Standard Model or Grand unified theories of elementary particles. For the fifth superalgebra the result is not final: there might be infinitely many relations. Contrariwise, for the same Lie superalgebra with Laurent polynomials as coefficients there are only finitely many relations.
Keywords
Cite
@article{arxiv.math-ph/0202025,
title = {Defining relations for the exceptional Lie superalgebras of vector fields pertaining to The Standard Model},
author = {Pavel Grozman and Dimitry Leites and Irina Shchepochkina},
journal= {arXiv preprint arXiv:math-ph/0202025},
year = {2007}
}
Comments
42 pages, Latex