A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}

Details A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)} A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}

2004-12-08

arxiv.org/abs/hep-th/0412085v3

JHEP0606:054,2006

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, minor revisions, one definition added, no formula or result has been modified

Scientific paper

10.1088/1126-6708/2006/06/054

We found new identities among the Dedekind eta-function, the characters of the W_{m} algebra and those of the level 1 affine Lie algebra su(m)_{1}. They allow to characterize the Z_{m}-orbifold of the m-component free bosons u(1)_{K_{m,p}} (our theory TM) as an extension of the fully degenerate representations of W_{1+infty}^{(m)}. In particular, TM is proven to be a Gamma _{theta}-RCFT extension of the chiral fully degenerate W_{1+infty}^{(m)}.

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