Knizhnik-Zamolodchikov-type equations for gauged WZNW models
نویسندگان
چکیده
We study correlation functions of coset constructions by utilizing the method of gauge dressing. As an example we apply this method to the minimal models and to the Witten 2D black hole. We exhibit a striking similarity between the latter and the gravitational dressing. In particular, we look for logarithmic operators in the 2D black hole. e-mail: [email protected] e-mail: [email protected] e-mail: [email protected]
منابع مشابه
Gauged Knizhnik-Zamolodchikov Equation
G = H⊕M, [H,H] ⊂ H, [H,M] ⊂ M. (3) There are different methods of studying correlation functions of gaugedWZNWmodels such as the free field realization approach or the fermionization technik [2]. We shall pursue a different idea which is paralell to the analysis of the gravitational dressing of 2D field theories [3]. Our starting point are the equations of motion of the gauged WZNW model: ∇̄(∇gg...
متن کاملGauge Dressing of 2D Field Theories
By using the gauge Ward identities, we study correlation functions of gauged WZNW models. We show that the gauge dressing of the correlation functions can be taken into account as a solution of the Knizhnik-Zamolodchikov equation. Our method is analogous to the analysis of the gravitational dressing of 2D field theories.
متن کاملSolutions of the Knizhnik - Zamolodchikov Equation with Rational Isospins and the Reduction to the Minimal Models
In the spirit of the quantum Hamiltonian reduction we establish a relation between the chiral n-point functions, as well as the equations governing them, of the A (1) 1 WZNW conformal theory and the corresponding Virasoro minimal models. The WZNW correlators are described as solutions of the Knizhnik Zamolodchikov equations with rational levels and isospins. The technical tool exploited are cer...
متن کاملLogarithmic operators in the SL(2, R) WZNW model
We find some exact solutions of the Knizhnik-Zamolodchikov equation for the four point correlation functions that occur in the SL(2, R) WZNW model. They exhibit logarithmic behaviour in both the Kac-Moody and Virasoro parts. We discuss their implication for the operator product expansion. We also observe the appearance of several symmetries of the correlation functions. [email protected]...
متن کاملOn Spectral Flow Symmetry and Knizhnik-zamolodchikov Equation
It is well known that five-point function in Liouville field theory provides a representation of solutions of the SL(2, R)k Knizhnik-Zamolodchikov equation at the level of fourpoint function. Here, we make use of such representation to study some aspects of the spectral flow symmetry of ˆ sl(2) k affine algebra and its action on the observables of the WZNW theory. To illustrate the usefulness o...
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 1997