On symmetries of some massless 2D field theories

Denis Bernard (1)

1 SPhT - Service de Physique Théorique

We describe few aspects of the quantum symmetries of some massless two-dimensional field theories. We discuss their relations with recent proposals for the factorized scattering theories of the massless $PCM_1$ and $O(3)_{\theta=\pi}$ sigma models. We use these symmetries to propose massless factorized S-matrices for the $su(2)$ sigma models with topological terms at any level, alias the $PCM_k$ models, and for the $su(2)$-coset massless flows.

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Denis Bernard. On symmetries of some massless 2D field theories. Physics Letters B, 1992, 279 (1-2), pp.78-86. ⟨10.1016/0370-2693(92)91844-Y⟩. ⟨hal-03370759⟩