Indecomposable representations in Zn symmetric b, c ghost systems via deformations of the Virasoro field

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Michael Flohr
  • Julia Voelskow

External Research Organisations

  • University of Bonn
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Details

Original languageEnglish
Pages (from-to)207-227
Number of pages21
JournalNuclear Physics B
Volume792
Issue number3
Early online date29 Aug 2007
Publication statusPublished - 1 Apr 2008
Externally publishedYes

Abstract

The Virasoro field associated to b, c ghost systems with arbitrary integer spin λ on an n-sheeted branched covering of the Riemann sphere is deformed. This leads to reducible but indecomposable representations, if the new Virasoro field acts on the space of states, enlarged by taking the tensor product over the different sheets of the surface. For λ = 1, proven LCFT structures are made explicit through this deformation. In the other cases, the existence of Jordan cells is ruled out in favour of a novel kind of indecomposable representations.

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Cite this

Indecomposable representations in Zn symmetric b, c ghost systems via deformations of the Virasoro field. / Flohr, Michael; Voelskow, Julia.
In: Nuclear Physics B, Vol. 792, No. 3, 01.04.2008, p. 207-227.

Research output: Contribution to journalArticleResearchpeer review

Flohr M, Voelskow J. Indecomposable representations in Zn symmetric b, c ghost systems via deformations of the Virasoro field. Nuclear Physics B. 2008 Apr 1;792(3):207-227. Epub 2007 Aug 29. doi: 10.48550/arXiv.hep-th/0602056, 10.1016/j.nuclphysb.2007.08.009
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