On the Normalization and Hermiticity of Amplitudes in 4D Heterotic Superstrings

Details On the Normalization and Hermiticity of Amplitudes in 4D Heterotic Superstrings On the Normalization and Hermiticity of Amplitudes in 4D Heterotic Superstrings

1995-08-25

arxiv.org/abs/hep-th/9508135v1

Nucl.Phys. B457 (1995) 27-56

Physics

High Energy Physics

High Energy Physics - Theory

1+33 pages, TeX with macros included

Scientific paper

10.1016/0550-3213(95)00530-7

We consider how to normalize the scattering amplitudes of 4D heterotic superstrings in a Minkowski background. We fix the normalization of the vacuum amplitude (the string partition function) at each genus, and of every vertex operator describing a physical external string state in a way consistent with unitarity of the $S$-matrix. We also provide an explicit expression for the map relating the vertex operator of an incoming physical state to the vertex operator describing the same physical state, but outgoing. This map is related to hermitean conjugation and to the hermiticity properties of the scattering amplitudes.

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