Finite Deformations of Conformal Field Theories Using Analytically Regularized Connections

Details Finite Deformations of Conformal Field Theories Using Analytically Regularized Connections Finite Deformations of Conformal Field Theories Using Analytically Regularized Connections

1996-04-02

arxiv.org/abs/hep-th/9604010v2

Nucl.Phys. B487 (1997) 445-466

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, use Latex2e twice. Replaced version: minor corrections, additional Comment, additional reference

Scientific paper

10.1016/S0550-3213(96)00685-2

We study some natural connections on spaces of conformal field theories using an analytical regularization method. The connections are based on marginal conformal field theory deformations. We show that the analytical regularization preserves conformal invariance and leads to integrability of the marginal deformations. The connections are shown to be flat and to generate well-defined finite parallel transport. These finite parallel transports yield formulations of the deformed theories in the state space of an undeformed theory. The restrictions of the connections to the tangent space are curved but free of torsion.

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