Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field

Details Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field Indecomposable Representations in Z_n Symmetric b,c Ghost Systems via Deformations of the Virasoro Field

2006-02-06

arxiv.org/abs/hep-th/0602056v1

Nucl.Phys.B792:207-227,2008

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, 1 figure, uses empheq.sty, mhtools.sty, mhsetup.sty

Scientific paper

10.1016/j.nuclphysb.2007.08.009

The Virasoro field associated to b,c ghost systems with arbitrary integer spin lambda 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 lambda=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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