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Six-Derivative Yang-Mills Couplings in Heterotic String Theory
by Mohammad R. Garousi
Submission summary
| Authors (as registered SciPost users): | Mohammad R. Garousi |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2406.02960v2 (pdf) |
| Date accepted: | 2024-10-15 |
| Date submitted: | 2024-10-08 06:35 |
| Submitted by: | Garousi, Mohammad R. |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
In this work, we present a comprehensive analysis of the structure of six-derivative bosonic couplings in heterotic string theory. First, we determine the maximal covariant and Yang-Mills gauge invariant basis, which consists of 801 independent coupling constants. By imposing T-duality constraints on the circular reduction of these terms, we obtain 468 relations between the coupling constants at the six-derivative order and the known couplings at lower derivative orders. Through the use of field redefinitions, we are able to eliminate the remaining 333 coupling constants. Remarkably, we find that the Yang-Mills field strength only appears through the trace of two field strengths or their derivatives. Finally, we perform further field redefinition to rewrite the remaining couplings in a canonical form characterized by 85 independent couplings.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
List of changes
I have added a final paragraph to the Discussion section to clarify the relationship between the covariant couplings identified in this paper and the non-covariant couplings proposed by Bergshoeff and de Roo in the 1980s, which were based on supersymmetry.
Current status:
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)