TL;DR
This paper explores the development of a mathematical framework for nonrational conformal field theories, including unitary CFTs, proposing a variant of modular functor suitable for these theories.
Contribution
It introduces a new variant of modular functor tailored for nonrational conformal field theories, advancing the mathematical understanding of these models.
Findings
Proposed a suitable modular functor variant for nonrational CFTs
Addressed the mathematical structure of nonrational CFTs including unitary cases
Laid groundwork for further rigorous analysis of nonrational conformal field theories
Abstract
We discuss the problem to develop a mathematical theory of a certain class of nonrational conformal field theories (CFT) which contain the unitary CFT. A variant of the concept of a modular functor is proposed that appears to be suitable for such CFT.
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Taxonomy
TopicsNonlinear Waves and Solitons