Quantum master equation and Hodge correlators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909169781571584 |
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| author | Kodani, Hisatoshi Terashima, Yuji |
| author_facet | Kodani, Hisatoshi Terashima, Yuji |
| contents | We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs which may have loops and satisfies some Maurer--Cartan equation. This connection and the Maurer--Cartan equation can be viewed as an arithmetic analogue of effective action and quantum master equation respectively in non-acyclic Chern--Simons perturbation theory associated with the trivial local system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09488 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum master equation and Hodge correlators Kodani, Hisatoshi Terashima, Yuji Geometric Topology High Energy Physics - Theory Mathematical Physics Number Theory 14D07, 32G20, 81Q30, 81T18 We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs which may have loops and satisfies some Maurer--Cartan equation. This connection and the Maurer--Cartan equation can be viewed as an arithmetic analogue of effective action and quantum master equation respectively in non-acyclic Chern--Simons perturbation theory associated with the trivial local system. |
| title | Quantum master equation and Hodge correlators |
| topic | Geometric Topology High Energy Physics - Theory Mathematical Physics Number Theory 14D07, 32G20, 81Q30, 81T18 |
| url | https://arxiv.org/abs/2404.09488 |