Exchange relations and crossing

Sergey Frolov

doi:10.1088/1751-8121/ae0edb

Exchange relations and crossing

2025-10-13

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Alessandro Sfondrini *

DOI：10.1088/1751-8121/ae0edb

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We discuss the scattering matrix of two-dimensional integrable QFTs whose fields obey non-trivial exchange relations. We show that crossing equations for such models have to be modified, and propose their consistent modification. This modification opens the way to constructing new integrable S matrices. As a check, we consider the crossing equations for the SU(N) chiral Gross-Neveu model, and for the Phi 21 deformation of the tricritical Ising model, finding an agreement with the existing proposals. Finally, we reconsider the crossing equations for massless excitations of the mixed-flux AdS3xS3xT4 light-cone gauge superstring sigma model, and conjecture that the massless excitations satisfy non-trivial exchange relations. This changes the crossing equations and leads to a simpler massless dressing factor.

Keywords:

exchange relations

crossing symmetry

integrable QFT

factorised scattering

Exchange relations and crossing

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