On the structure of unoriented topological conformal field theories

2015/03/09 by Fernandez-Valencia, Ramses
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1503.02465

Abstract

We give a classification of open Klein topological conformal field theories in terms of Calabi-Yau A_∞-categories endowed with an involution. Given an open Klein topological conformal field theory, there is a universal open-closed extension whose closed part is the involutive variant of the Hochschild chains of the open part.

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