Sigma models as perturbed conformal field theories

Details Sigma models as perturbed conformal field theories Sigma models as perturbed conformal field theories

1999-06-04

arxiv.org/abs/hep-th/9906036v2

Phys.Rev.Lett. 83 (1999) 4468-4471

Physics

High Energy Physics

High Energy Physics - Theory

4 pages. v2: corrects typos (including several in the published version)

Scientific paper

10.1103/PhysRevLett.83.4468

We show that two-dimensional sigma models are equivalent to certain perturbed conformal field theories. When the fields in the sigma model take values in a space G/H for a group G and a maximal subgroup H, the corresponding conformal field theory is the $k\to\infty$ limit of the coset model $(G/H)_k$, and the perturbation is related to the current of G. This correspondence allows us for example to find the free energy for the "O(n)" (=O(n)/O(n-1)) sigma model at non-zero temperature. It also results in a new approach to the CP^{n} model.

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