String Theory and the CPT Theorem on the World-Sheet

Details String Theory and the CPT Theorem on the World-Sheet String Theory and the CPT Theorem on the World-Sheet

1996-08-05

arxiv.org/abs/hep-th/9608022v1

Nucl.Phys. B485 (1997) 241-274; Erratum-ibid. B494 (1997) 486

Physics

High Energy Physics

High Energy Physics - Theory

TeX macros included

Scientific paper

10.1016/S0550-3213(96)00647-5

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 $z \rightarrow 1/z$. 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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