String Theory and the CPT Theorem on the World-Sheet

Abstract

We study the CPT theorem for a two-dimensional conformal field theory on an arbitrary Riemann surface. On the sphere the theorem follows from the assumption that the correlation functions have standard hermiticity properties and are invariant under the transformation $z\to 1/z$. The theorem can then be extended to higher genus surfaces by sewing. We show that, as a consequence of the CPT theorem on the world-sheet, the scattering $T$-matrix in string theory is {\sl formally\/} hermitean at any loop order.

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References in corpus (4)

• The Box Graph In Superstring Theory
• On the Normalization and Hermiticity of Amplitudes in 4D Heterotic Superstrings
• Bosonization of World-Sheet Fermions in Minkowski Space-Time
• CPT Invariance of String Models in a Minkowski Background

Cited by in corpus (3)

• Scalar field theory limits of bosonic string amplitudes
• On the Compton Scattering in String Theory
• On the Evaluation of Compton Scattering Amplitudes in String Theory