Notes on Curtright-Zachos Deformations of osp(1, 2) and Super Virasoro Algebras
نویسندگان
چکیده
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 field theory, we find the same type of deformation of affine sl(2) algebra. 1 [email protected] 2 [email protected] 3 Fellow of the Danish Research Academy, [email protected]
منابع مشابه
Virasoro 3-algebra from scalar densities
It is shown that the ternary Virasoro-Witt algebra of Curtright, Fairlie and Zachos can be constructed by applying the Nambu commutator to the vect(1) realization on scalar densities. This construction is generalized to vect(d), but the corresponding 3-algebra fails to close. There has recently been a surge of interest in 3-algebras in M-theory [1, 2, 3, 4], which is closely related to the tern...
متن کاملTernary Virasoro - Witt Algebra
A 3-bracket variant of the Virasoro-Witt algebra is constructed through the use of su(1,1) enveloping algebra techniques. The Leibniz rules for 3-brackets acting on other 3-brackets in the algebra are discussed and verified in various situations. [email protected], [email protected], [email protected]
متن کاملRevised Version of RIMS-881 HAMILTONIAN REDUCTION OF SUPER OSP(1,2) AND SL(2,1) KAC-MOODY ALGEBRAS
We present the Wakimoto construction of the super OSp(1,2) and SL(2,1) Kac-Moody algebras and the free field representation of the corresponding WZW models. After imposing suitable constraints, we can lead the Feigin-Fuchs representation of Virasoro algebras and coadjoint actions ofthe N=1 and N=2 conformal symmetries. This formulation corresponds to a supercovariant extension of the Drinfeld a...
متن کاملClassification of osp(2|2) Lie super-bialgebras
The need of classification of Lie bialgebras [1] comes from their close relation with q-deformations of universal enveloping algebras in the Drinfeld sense. To each such deformation there corresponds a Lie bialgebra which may be recovered from the first order of the deformation of the coproduct. It has also been shown [4] that each Lie bialgebra admits quantization. So the classification of Lie...
متن کاملDiscrete-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 کامل