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

2009/11/07 by I. G. Korepanov, Korepanov, I. G.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.AT #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.0911.1395

7 pages

arxiv created 2009/11/07 · openalex publication_date 2009/11/07 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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.

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