The Chiral Space of Local Operators in SU (2)-Invariant Thirring Model
Copyright policy )The Chiral Space of Local Operators in SU (2)-Invariant Thirring Model
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 \hat{sl_2}. 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.
19 pages, typos are corrected, Accepted for publication in Comm. Math. Phys
- Kyushu University Japan
FOS: Physical sciences, Model quantum field theories, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), 81T40,33C70,05A30, conformal field theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematics - Quantum Algebra, Applications of Lie groups to the sciences; explicit representations, FOS: Mathematics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, form factor bootstrap method, level one integrable highest weight representation, Mathematical Physics
FOS: Physical sciences, Model quantum field theories, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), 81T40,33C70,05A30, conformal field theory, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematics - Quantum Algebra, Applications of Lie groups to the sciences; explicit representations, FOS: Mathematics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, form factor bootstrap method, level one integrable highest weight representation, Mathematical Physics
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