On the structure of unoriented topological conformal field theories

We give a classification of open Klein topological conformal field theories in terms of Calabi-Yau $A_\infty$-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 H...

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Bibliographic Details
Main Author Fernandez-Valencia, Ramses
Format Journal Article
LanguageEnglish
Published 09.03.2015
Subjects
Mathematics - Quantum Algebra
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Summary:We give a classification of open Klein topological conformal field theories in terms of Calabi-Yau $A_\infty$-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.
DOI:10.48550/arxiv.1503.02465