Perturbative deformations of conformal field theories revisited

Details Perturbative deformations of conformal field theories revisited Perturbative deformations of conformal field theories revisited

2006-09-02

arxiv.org/abs/hep-th/0609018v6

Rev.Math.Phys.22:117-192,2010

Physics

High Energy Physics

High Energy Physics - Theory

Citations, minor corrections

Scientific paper

10.1142/S0129055X10003916

We investigate the moduli space of conformal field theories by setting up a canonical mathematical process for exponentiating perturbations corresponding to critical fields. We apply this process to the free field theory and the Gepner models of the Fermat quintic and quartic. We find algebraic obstructions to exponentiating purely perturbative deformations in the case of the quintic, while in the case of the quartic the obstructions vanish. While this result may seem surprising at first, we find an explanation of these effects via the renormalization analysis of Nemeschansky-Sen.

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