The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model
نویسنده
چکیده
The space of local operators in the SU(2) invariant Thirring model (SU(2) ITM) is studied by the form factor bootstrap method. By constructing sets of form factors explicitly we define a susbspace of operators which has the same character as the level one integrable highest weight representation of ŝl2. This makes a correspondence between this subspace and the chiral space of local operators in the underlying conformal field theory, the su(2) Wess-Zumino-Witten model at level one.
منابع مشابه
On Form Factors of SU(2) Invariant Thirring Model
Integral formulae for form factors of a large family of charged local operators in SU(2) invariant Thirring model are given extending Smirnov’s construction of form factors of chargeless local operators in the sine-Gordon model. New abelian symmetry acting on this family of local operators is found. It creates Lukyanov’s operators which are not in the above family of local operators in general.
متن کاملBosonic Realization of Boundary Operators in SU(2)-invariant Thirring Model
Boundary operators and boundary states in SU(2)-invariant Thirring model are considered from the point of view of bosonization and oscillator realizations of bulk and boundary ZamolodchikovFaddeev algebras.
متن کاملThe Space of Local Fields as a Module over the Ring of Local Integrals of Motion
The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the recent construction of form factors by means of quantum affine algebra at root of unity due to Feigin et al. we construct a D-free resolution of the space of local fields. In general the cohomologies of the de Rham ty...
متن کاملThirring model with boundary reflection
We study the SU(n) invariant massive Thirring model with boundary reflection. Our approach is based on the free field approach. We construct the free field realizations of the boundary state and it’s dual. For an application of these realizations, we present integral representations for the form factors of the local operators.
متن کاملTraces of Intertwining Operators for the Yangian Double
The traces over infinite dimensional representations of the central extended Yangian double for the product of operators which intertwine these representations are calculated. For the special combinations of the intertwining operators the traces are identified with form factors of local operators in SU(2)-invariant Thirring model. This identification is based on the identities which are deforme...
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 2003