On the quantum super Virasoro algebra
نویسنده
چکیده
The quantum super-algebra structure on the deformed super Virasoro algebra is investigated. More specifically we established the possibility of defining a non trivial Hopf super-algebra on both one and two-parameters deformed super Virasoro algebras. ∗e-mail: [email protected]
منابع مشابه
Discrete-Time Quantum Field Theory and the Deformed Super Virasoro Algebra
The deformed Virasoro algebra plays a similar role for deformed conformal fields as the Virasoro algebra in the usual string and conformal field theories. We show that there exists a physical theory, the discrete-time QFT, in which framework the deformations of (super)Virasoro algebra constructed earlier on an abstract mathematical background emerge. Specifically, the deformed Virasoro and supe...
متن کاملNotes on Curtright-Zachos Deformations of osp(1, 2) and Super Virasoro Algebras
Based on the quantum superspace construction of q-deformed algebra, we discuss a supersymmetric extension of the deformed Virasoro algebra, which is a subset of the q-W∞ algebra recently appeared in the context of two-dimensional string theory. We analyze two types of deformed super-Virasoro algebra as well as their osp(1, 2) subalgebras. Applying our quantum superspace structure to conformal f...
متن کاملFractional Superspace Formulation of Generalized Super-Virasoro Algebras
We present a fractional superspace formulation of the centerless parasuper-Virasoro and fractional super-Virasoro algebras. These are two different generalizations of the ordinary super-Virasoro algebra generated by the infinitesimal diffeomorphisms of the superline. We work on the fractional superline parametrized by t and θ, with t a real coordinate and θ a paragrassmann variable of order M a...
متن کاملDeformation of Super Virasoro Algebra in Noncommutative Quantum Superspace
We present a twisted commutator deformation for N = 1, 2 super Virasoro algebras based on GLq(1, 1) covariant noncommutative superspace. PACS: 02.10.Jf, 11.17.+y
متن کاملN = 2 W-supergravity
We quantise the classical gauge theory of N = 2 w ∞-supergravity and show how the underlying N = 2 super-w ∞ algebra gets deformed into an N = 2 super-W ∞ algebra. Both algebras contain the N = 2 super-Virasoro algebra as a subalgebra. We discuss how one can extract from these results information about quantum N = 2 W N-supergravity theories containing a finite number of higher-spin symmetries ...
متن کامل