Odd-Derivative Couplings in Heterotic Theory
Abstract
In this paper, our focus is on exploring the gauge-invariant basis for bosonic couplings within the framework of heterotic string theories, specifically examining 3-, 5-, and 7-derivative terms. We thoroughly analyze the invariance of these couplings under T-duality transformations and make a notable observation: the T-duality constraint enforces the vanishing of these couplings. We speculate that this result likely holds true for all higher odd-derivative couplings as well. This is unlike the result in type I superstring theory, where, for example, the couplings of 5 Yang-Mills field strengths are non-zero. The vanishing of couplings is consistent with the symmetry of the cosmological reduction of the effective action.
Keywords
Cite
@article{arxiv.2404.11954,
title = {Odd-Derivative Couplings in Heterotic Theory},
author = {Mohammad R. Garousi},
journal= {arXiv preprint arXiv:2404.11954},
year = {2024}
}
Comments
16 pages, Latex file, no figure; v2: It is argued that in the presence of the Yang-Mills field, one must impose T-duality on the maximal basis instead of the minimal basis. The results are not changed; v3: The version appears in PRD