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arxiv: math/0408298 · v4 · submitted 2004-08-22 · 🧮 math.CT · math-ph· math.MP

Pseudo Limits, Biadjoints, and Pseudo Algebras: Categorical Foundations of Conformal Field Theory

classification 🧮 math.CT math-phmath.MP
keywords pseudoalgebrasbiadjointscategoricalconformalfieldfoundationstheories
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In this paper I develop categorical foundations needed for a rigorous approach to the definition of conformal field theory outlined by Graeme Segal. I discuss pseudo algebras over theories and 2-theories, their pseudo morphisms, bilimits, bicolimits, biadjoints, stacks, and related concepts.

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