Yang-Mills Theory and the $\mathcal{N}=2$ Spinning Path Integral
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915920891346944 |
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| author | Cremonini, Carlo Alberto Sachs, Ivo |
| author_facet | Cremonini, Carlo Alberto Sachs, Ivo |
| contents | We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the $\mathcal{N}=2$ supersymmetric world line and evaluate the pull-back of the latter to an integral form on supermoduli space. Choosing a suitable Poincaré dual on the latter, we show that this integral form describes an extension of Yang-Mills theory. Upon projection back to the Fock space, we recover the Yang-Mills action from the world line. This furthermore gives an a priori justification for the construction of Yang-Mills equations of motion as emerging from deformations of the BRST differential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14792 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yang-Mills Theory and the $\mathcal{N}=2$ Spinning Path Integral Cremonini, Carlo Alberto Sachs, Ivo High Energy Physics - Theory We embed the perturbative Fock state of the Yang-Mills BV-multiplet in the vertex operator algebra of the path-integral for the $\mathcal{N}=2$ supersymmetric world line and evaluate the pull-back of the latter to an integral form on supermoduli space. Choosing a suitable Poincaré dual on the latter, we show that this integral form describes an extension of Yang-Mills theory. Upon projection back to the Fock space, we recover the Yang-Mills action from the world line. This furthermore gives an a priori justification for the construction of Yang-Mills equations of motion as emerging from deformations of the BRST differential. |
| title | Yang-Mills Theory and the $\mathcal{N}=2$ Spinning Path Integral |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.14792 |