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On the Heterotic Effective Action at One-Loop, Gauge Couplings and the Gravitational Sector

E. Kiritsis·C. Kounnas·M. Petropoulos·J. Rizos
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Abstract

We present in detail the procedure for calculating the heterotic one-loop effective action. We focus on gravitational and gauge couplings. We show that the two-derivative couplings of the gravitational sector are not renormalized at one loop when the ground state is supersymmetric. Arguments are presented that this non-renormalization theorem persists to all orders in perturbation theory. We also derive the full one-loop correction to the gauge coupling. For a class of $N=2$ ground states, namely those that are obtained by toroidal compactification to four dimensions of generic six-dimensional $N=1$ models, we give an explicit formula for the gauge-group independent thresholds, and show that these are equal within the whole family.

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E. Kiritsis, C. Kounnas, M. Petropoulos, J. Rizos. 1996-05-03. On the Heterotic Effective Action at One-Loop, Gauge Couplings and the Gravitational Sector. https://arxiv.org/abs/hep-th/9605011

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