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Deformations in Closed String Theory -- Canonical Formulation and Regularization

Martin Cederwall·Alexander von Gussich·Per Sundell
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Abstract

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 formulæfor 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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Martin Cederwall, Alexander von Gussich, Per Sundell. 1995-12-15. Deformations in Closed String Theory -- Canonical Formulation and Regularization. https://doi.org/10.1016/0550-3213(96)00049-1

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