Two deformations of a fermionic solution to pentagon equation

2011/04/18 by I. G. Korepanov, Igor Korepanov, Korepanov, Igor · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.AT #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.1104.3487

7 pages

arxiv created 2011/04/18 · openalex publication_date 2011/04/18 · arxiv updated 2011/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Two novel fermionic - expressed in terms of Grassmann--Berezin calculus of anticommuting variables - solutions of pentagon equation are proposed, both being deformations of the known solution related to the affine group.

Cited by

• Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves

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