We show that there is a braided tensor category structure on the of C 1 -cofinite modules for (universal or simple) Virasoro vertex operator algebras arbitrary central charge. In generic case charge c = 13 − 6 ( t + ) , with ∉ Q we prove semisimplicity, rigidity and non-degeneracy also compute fusion rules this category.

This is a review article in which we will introduce, in a unifying fashion and with more intermediate steps in some difficult calculations, two infinitedimensional Lie algebras of quantum matrix models, one for the open string sector and one for the closed string sector. Physical observables of quantum matrix models in the large-N limit can be expressed as elements of these Lie algebras. We wil...

Let $W = \mathbb {C}[t,t^{-1}]\partial _t$ be the Witt algebra of algebraic vector fields on $\mathbb {C}^\times$ and let $V\!ir$ Virasoro , unique nontrivial central extension $W$ . In this paper, we study Poisson ideal structure symmetric algebras as well several related Lie algebras. We classify prime ideals primitive $\operatorname {S}(V\!ir)$ {S}(W)$ particular, show that only functions in...

We review some key features of Quantum Jet Theory: observer dependence, multi-dimensional Virasoro algebra, and the prediction that spacetime has four dimensions.

Tensor product of highest weight modules and intermediate for Virasoro algebra have been studied around 1997. Since then the irreducibility problem tensor is open. We consider loop-Virasoro [Formula: see text], where Vir text] a commutative associative unital over text]. In this paper, we study Finally found out necessary sufficient condition such to be isomorphic.