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Higher-dimensional Mac Lane’s pentagon and Zamolodchikov equations. (English) Zbl 0991.18006

A six-dimensional diagram is presented whose commutativity is asserted to imply that all diagrams commute in a particular kind of weak 6-category. How this extends Mac Lanes pentagon for associativity and the relationship with the Zamolodchikov equations are explained.

MSC:

18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
18A05 Definitions and generalizations in theory of categories
81T99 Quantum field theory; related classical field theories
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References:

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