Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-11-22
Nucl.Phys. B718 (2005) 394-412
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 4 eps figure, LaTeX; v2: numerical checks improved, to appear in Nucl. Phys. B
Scientific paper
10.1016/j.nuclphysb.2005.04.018
Massless flows from the coset model su(2)_k+1 \otimes su(2)_k /su(2)_2k+1 to the minimal model M_k+2 are studied from the viewpoint of form factors. These flows include in particular the flow from the Tricritical Ising model to the Ising model. By analogy with the magnetization operator in the flow TIM -> IM, we construct all form factors of an operator that flows to \Phi_1,2 in the IR. We make a numerical estimation of the difference of conformal weights between the UV and the IR thanks to the \Delta-sum rule; the results are consistent with the conformal weight of the operator \Phi_2,2 in the UV. By analogy with the energy operator in the flow TIM -> IM, we construct all form factors of an operator that flows to \Phi_2,1. We propose to identify the operator in the UV with \sigma_1\Phi_1,2.
Grinza Paolo
Ponsot Benedicte
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