The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model

Details The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model

2003-03-16

arxiv.org/abs/math/0303192v2

Commun.Math.Phys. 245 (2004) 279-296

Mathematics

Quantum Algebra

19 pages, typos are corrected, Accepted for publication in Comm. Math. Phys

Scientific paper

10.1007/s00220-003-1013-3

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.

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