Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Authors: Korepanov, I.G., Sadykov, N.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149347
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3 / I.G. Korepanov, N.M. Sadykov // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 13 назв. — англ.

We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent depending on these variables on its five 3-faces. We show that there exists a...