Deformations in Closed String Theory -- Canonical Formulation and Regularization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Plain TeX, 16 pages. Some additions in the discussion of the curvature

Scientific paper

10.1016/0550-3213(96)00049-1

We study deformations of closed string theory by primary fields of conformal weight $(1,1)$, using conformal techniques on the complex plane. A canonical surface integral formalism for computing commutators in a non-holomorphic theory is constructed, and explicit formul\ae for deformations of operators are given. We identify the unique regularization of the arising divergences that respects conformal invariance, and consider the corresponding parallel transport. The associated connection is metric compatible and carries no curvature.

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