Free Field Representation of $osp(2|1)$ and $U_q(osp(2|1))$ and N=1 (q-)Superstring Correlation Functions

Abstract

The free field realization of irreducible representations of $\os$ is constructed, by a unified and systematic scheme. The $q$-analog of this unified scheme is used to construct $q$-free field realization of irreducible representations of $\uos$. By using these realization, the two point function of $N=1$ superconformal (q-superconformal) model based on $\os$ ($\uos$) symmetry have been calculated.

10 pages, LaTex, no figures, New section has been added; to be published in Phys. Lett. B

References in corpus (9)

• A WZW model based on a non-semi-simple group
• Nonsemisimple Sugawara Constructions
• On Bosonic and Supersymmetric Current Algebras for Non-Semi-Simple Groups
• Generalized Hirota Equations and Representation Theory. I. The case of $SL(2)$ and $S{L}_q(2)$"
• Free-Field Representation of Group Element for Simple Quantum Group
• Deformation of the Wakimoto construction
• Free Field Representation for the Classical Limit of Quantum Affine Algebra
• Free Field Representation of Quantum Affine Algebra U_q(\hat{sl}_2)
• $U_q(sl(n))$ Difference Operator Realization

Cited by in corpus (2)

• Logarithmic Operators in Conformal Field Theory and The $\W_\infty$-algebra
• N=2 Super-Conformal Filed Theory on the Basis of osp(2|2)