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Direct proofs of the Feigin-Fuchs character formula for unitary representations of the Virasoro algebra
Direct proofs of the Feigin-Fuchs character unitary representations Virasoro algebra
2011/3/1
Previously we gave a proof of the Feigin–Fuchs character formula for the irreducible unitary
discrete series of the Virasoro algebra with 0 < c < 1.
Vertex operator algebras associated to modified regular representations of the Virasoro algebra
Vertex operator algebras modified regular representations Virasoro algebra
2011/2/28
We give an abstract construction, based on the Belavin-Polyakov-Zamolodchikov equations, of a
family of vertex operator algebras of rank 26 associated to the modified regular representations of the V...
Classification of Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebra
Harish-Chandra modules Lie algebras
2010/11/22
In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebras. We first classify suc...
A centerless representation of the Virasoro algebra associated with the unitary circular ensemble
Virasoro algebra unitary circular ensemble
2010/4/1
We consider the 2-dimensional Toda lattice tau functions $\tau_n(t,s;\eta,\theta)$ deforming the probabilities $\tau_n(\eta,\theta)$ that a randomly chosen matrix from the unitary group U(n), for the ...
Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
the twisted Heisenberg--Virasoro algebra weight modules support
2007/12/11
We show that the support of an irreducible weight module over the twisted Heisenberg--Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all n...