Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models

نویسندگان

  • Chris Hull
  • Oleg A. Soloviev
چکیده

We show that the strong coupling phase of the non-Abelian Thirring model is dual to the weak-coupling phase of a system of two WZNW models coupled to each other through a current-current interaction. This latter system is integrable and is related to a perturbed conformal field theory which, in the large |k| limit, has a nontrivial zero of the perturbation-parameter beta-function. The non-Abelian Thirring model reduces to a free fermion theory plus a topological field theory at this critical point, which should therefore be identified with the isoscalar Dashen-Frishman conformal point. The relationship with the Gross-Neveu model is discussed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Conformal Invariance Of Interacting WZNW Models

We consider two level k WZNW models coupled to each other through a generalized Thirring-like current-current interaction. It is shown that in the large k limit, this interacting system can be presented as a two-parameter perturbation around a nonunitary WZNW model. The perturbation operators are the sigma model kinetic terms with metric related to the Thirring coupling constants. The renormali...

متن کامل

Some Comments On Lie-Poisson Structure Of Conformal Non-Abelian Thirring Models

The interconnection between self-duality, conformal invariance and Lie-Poisson structure of the two dimensional non-abelian Thirring model is investigated in the framework of the hamiltonian method.

متن کامل

Conformal Non-Abelian Thirring Models

The Lie-Poisson structure of non-Abelian Thirring models is discussed and the Hamiltonian quantization of these theories is carried out. The consistency of the Hamiltonian quantization with the path integral method is established. It is shown that the space of non-Abelian Thirring models contains the nonperturbative conformal points which are in one-to-one correspondence with general solutions ...

متن کامل

Duality as a Gauge Symmetry and Topology Change

Duality groups as (spontaneously broken) gauge symmetries for toroidal backgrounds, and their role in (∞-dimensional) underlying string gauge algebras are reviewed. For curved backgrounds, it is shown that there is a duality in the moduli space of WZNW sigma-models, that can be interpreted as a broken gauge symmetry. In particular, this duality relates the backgrounds corresponding to axially g...

متن کامل

A Duality-like Transformation in Wznw Models Inspired from Dual Riemannian Globally Symmetric Spaces

We investigate transformations on the group manifold element and gauged elds on two diierent kinds of gauged WZNW models and in this way obtain a duality-like transformation between chiral and vector gauged WZNW models with null gauged subgroups, that exactly converts the chiral gauged WZNW action to vector gauged WZNW action and vice versa. These duality-like transformations correspond to the ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008