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

Gerardo Cristofano; Vincenzo Marotta; Giuliano Niccoli

doi:10.1088/1126-6708/2006/06/054

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arXiv · hep-th/0412085

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

Gerardo Cristofano·Vincenzo Marotta·Giuliano Niccoli

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Abstract

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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Gerardo Cristofano, Vincenzo Marotta, Giuliano Niccoli. 2006-06-26. A new Rational Conformal Field Theory extension of the fully degenerate W_{1+\infty}^{(m)}. https://doi.org/10.1088/1126-6708%2F2006%2F06%2F054

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