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  TFT construction of RCFT correlators V: Proof of modular invariance and factorisation

Fjelstad, J., Fuchs, J., Runkel, I., & Schweigert, C. (2006). TFT construction of RCFT correlators V: Proof of modular invariance and factorisation. Theory and Applications of Categories, 16, 342-433.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4B0C-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4B0D-8
Genre: Journal Article

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 Creators:
Fjelstad, Jens, Author
Fuchs, Jürgen1, Author
Runkel, Ingo1, Author
Schweigert, Christoph, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [FRSI,FRSII,FRSIV] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the latter case, in particular the so-called cross cap constraint is included.

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Language(s): eng - English
 Dates: 2006
 Publication Status: Issued
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 Identifiers: eDoc: 213920
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Title: Theory and Applications of Categories
Source Genre: Journal
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Pages: - Volume / Issue: 16 Sequence Number: - Start / End Page: 342 - 433 Identifier: -