Integrable Generalized Principal Chiral Models

Details Integrable Generalized Principal Chiral Models Integrable Generalized Principal Chiral Models

1996-07-01

arxiv.org/abs/hep-th/9607009v1

Phys.Lett. B391 (1997) 374-380

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, harvmac (l)

Scientific paper

10.1016/S0370-2693(96)01468-2

We study 2D non-linear sigma models on a group manifold with a special form of the metric. We address the question of integrability for this special class of sigma models. We derive two algebraic conditions for the metric on the group manifold. Each solution of these conditions defines an integrable model. Although the algebraic system is overdetermined in general, we give two examples of solutions. We find the Lax field for these models and calculate their Poisson brackets. We also obtain the renormalization group (RG) equations, to first order, for the generic model. We solve the RG equations for the examples we have and show that they are integrable along the RG flow.

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