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  Twisted correlation functions on self-sewn Riemann surfaces via generalized vertex algebra of intertwiners

Zuevsky, A. (2014). Twisted correlation functions on self-sewn Riemann surfaces via generalized vertex algebra of intertwiners. In Conformal field theory, automorphic forms and related topics (pp. 227-246). Cham: Springer.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-DC65-3 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-DC66-2
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Zuevsky_Twisted Correlation Functions on Self-sewn Riemann Surfaces via Generalized Vertex Algebra of Intertwiners_2014.pdf (Publisher version), 302KB
 
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https://doi.org/10.1007/978-3-662-43831-2_8 (Publisher version)
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Zuevsky, Alexander1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: We review our recent results on computation of the partition and n-point “intertwined” functions for modules of vertex operator superalgebras with formal parameter associated to local parameters on Riemann surfaces obtained by
self-sewing of a lower genus Riemann surface. We introduce the torus intertwined n-point functions containing two intertwining operators in the supertrace. Then we define the partition and n-point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by self-sewing of the torus. For the free fermion vertex operator superalgebra we present a closed formula for the genus two
continuous orbifold partition function in terms of an infinite dimensional determinant with entries arising from the original torus Szegö
kernel. This partition function is holomorphic in the sewing parameters on a given suitable domain and possess natural modular properties. We describe modularity of the generating function for all n-point correlation functions in terms of a genus two Szegö
kernel determinant.

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Language(s): eng - English
 Dates: 2014
 Publication Status: Issued
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1007/978-3-662-43831-2_8
URI: http://www.mpim-bonn.mpg.de/preblob/5340
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Title: Conformal Field Theory, Automorphic Forms and Related Topics
Place of Event: Heidelberg
Start-/End Date: 2011-09-19 - 2011-09-23

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Title: Conformal field theory, automorphic forms and related topics
  Subtitle : CFT, Heidelberg, September 19-23, 2011
Source Genre: Proceedings
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Publ. Info: Cham : Springer
Pages: IX, 365 S. Volume / Issue: - Sequence Number: - Start / End Page: 227 - 246 Identifier: DOI: 10.1007/978-3-662-43831-2
ISBN: 978-3-662-43830-5
ISBN: 978-3-662-43831-2

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Title: Contributions in mathematical and computational sciences
Source Genre: Series
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Pages: - Volume / Issue: 8 Sequence Number: - Start / End Page: - Identifier: -