Remarks on Free Field Realization
نویسنده
چکیده
Free field representations of vertex algebra in SL(2,R)k/U(1) × U(1) WZNW model are constructed by considering a twisted version of the Bershadsky-Kutasov free field description of discrete states in the two-dimensional black hole CFT. These correspond to conjugate representations describing primary states in the model on SL(2,R)/U(1)× U(1). A particular evaluation of these leads to identities due to the spectral flow symmetry of ˆ sl(2)k algebra. The computation of correlation functions is discussed and, as an application, these are compared with analogous results known for the sine-Liouville theory. Exact agreement is observed between both analytic structures.
منابع مشابه
Some Remarks on Commuting Fixed Point Free Automorphisms of Groups
In this article we will find necessary and sufficient conditions for a fixed point free automorphism (fpf automorphism) of a group to be a commuting automorphism. For a given prime we find the smallest order of a non abelian p-group admitting a commuting f...
متن کاملhep-th/yymmxxx Some Results Regarding Operator Realization of osp(2|2) and Uq(osp(2|2)) and Free Fields Representation of ̂
Using a unified and systematic scheme, the free field realization of irreducible representations of osp(2|2) is constructed. The q-analogy of this unified scheme is used to construct q-free field realization of irreducible representations of U q (osp(2|2)). By using these realization, the correlation functions of N = 2 super-conformal (q-super-conformal) models based on osp(2|2) (U q (osp(2|2))...
متن کاملN = 2 Super - Conformal Filed Theory on the Basis of osp
Using a unified and systematic scheme, the free field realization of irreducible representations of osp(2|2) is constructed. By using these realization, the correlation functions of N = 2 super-conformal model based on osp(2|2) symmetry and free field representation of osp(2|2) generators are calculated. Free field representation of currents are used to determine the stress-energy tensor and th...
متن کامل1 6 Se p 19 98 FREE FIELD REALIZATION OF VERTEX OPERATORS FOR LEVEL TWO MODULES OF U q ( ŝl ( 2 ) )
Free field realization of vertex operators for level two modules of Uq ( ŝl(2) ) are shown through the free field realization of the modules given by Idzumi in Ref.[4, 5]. We constructed types I and II vertex operators when the spin of the associated evaluation module is 1/2 and type II’s for the spin 1.
متن کاملWakimoto realization of Drinfeld current for the elliptic quantum algebra U q , p ( ŝl 3 ) December 4 , 2008
We study a free field realization of the elliptic quantum algebra Uq,p(ŝl3) for arbitrary level k. We give the free field realization of elliptic analogue of Drinfeld current associated with Uq,p(ŝl3) for arbitrary level k. In the limit p → 0, q → 1 our realization reproduces Wakimoto realization for the affine Lie algebra ŝl3. PACS numbers : 02.20.Sv, 02.20.Uw, 02.30.Ik
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008