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

Physics – Mathematical Physics

Scientific paper

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7 pages

Scientific paper

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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