2017/04/29 by I. G. Korepanov, Igor G. Korepanov, Korepanov, Igor G. · 2 citations
Mathematics · Physics and Astronomy · #57R56 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:57R56
paper · pdf · doi:10.48550/arxiv.1705.00187
26 pages. v2: a proof of a Pachner 3--3 relation added
openalex publication_date 2017/04/29 · arxiv created 2017/10/31 · arxiv updated 2017/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Gaussian pentachoron weights can be used for constructing algebraic realizations of four-dimensional Pachner moves. Here, we consider a natural `gauge equivalence' for such weights with one and two bosonic - i.e., commuting - variables on 3-faces. For the one-boson case, all generic weights turn out to be gauge equivalent. For the two-boson case, and generic weights, their gauge equivalence classes are parameterized by multiplicative 2-cocycles. Moreover, a generic two-boson weight can be reduced by a gauge transformation to a delta-function form.