Boundary RG Flow Associated with the AKNS Soliton Hierarchy

Details Boundary RG Flow Associated with the AKNS Soliton Hierarchy Boundary RG Flow Associated with the AKNS Soliton Hierarchy

2005-10-31

arxiv.org/abs/hep-th/0510271v1

J.Phys.A39:12889-12926,2006

Physics

High Energy Physics

High Energy Physics - Theory

54 pages

Scientific paper

10.1088/0305-4470/39/41/S10

We introduce and study an integrable boundary flow possessing an infinite number of conserving charges which can be thought of as quantum counterparts of the Ablowitz, Kaup, Newell and Segur Hamiltonians. We propose an exact expression for overlap amplitudes of the boundary state with all primary states in terms of solutions of certain ordinary linear differential equation. The boundary flow is terminated at a nontrivial infrared fixed point. We identify a form of whole boundary state corresponding to this fixed point.

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