English

Algebraic relations with anticommuting variables for four-dimensional Pachner moves 3 -> 3 and 2 <-> 4

Mathematical Physics 2009-11-10 v1 Algebraic Topology math.MP Quantum Algebra

Abstract

Relatively simple algebraic relations are presented corresponding to Pachner moves 3 -> 3 and 2 <-> 4, thus providing two thirds of the foundation for a four-dimensional topological quantum field theory. These relations are written in terms of Grassmann anticommuting variables and Berezin integral.

Keywords

Cite

@article{arxiv.0911.1395,
  title  = {Algebraic relations with anticommuting variables for four-dimensional Pachner moves 3 -> 3 and 2 <-> 4},
  author = {I. G. Korepanov},
  journal= {arXiv preprint arXiv:0911.1395},
  year   = {2009}
}

Comments

7 pages