Circular quiver gauge theories, isomonodromic deformations and $W_N$ fermions on the torus
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2019
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915721031712768 |
|---|---|
| author | Bonelli, Giulio Del Monte, Fabrizio Gavrylenko, Pavlo Tanzini, Alessandro |
| author_facet | Bonelli, Giulio Del Monte, Fabrizio Gavrylenko, Pavlo Tanzini, Alessandro |
| contents | We study the relation between class S theories on punctured tori and isomonodromic deformations of flat SL(N) connections on the two dimensional torus with punctures. Turning on the self dual $Ω$-background corresponds to a deautonomization of the Seiberg-Witten integrable system which implies a specific time dependence in its Hamiltonians. We show that the corresponding $τ$-function is proportional to the dual gauge theory partition function, the proportionality factor being a non trivial function of the solution of the deautonomized Seiberg-Witten integrable system. This is obtained by mapping the isomonodromic deformation problem to $W_N$ free fermion correlators on the torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_07990 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Circular quiver gauge theories, isomonodromic deformations and $W_N$ fermions on the torus Bonelli, Giulio Del Monte, Fabrizio Gavrylenko, Pavlo Tanzini, Alessandro High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems We study the relation between class S theories on punctured tori and isomonodromic deformations of flat SL(N) connections on the two dimensional torus with punctures. Turning on the self dual $Ω$-background corresponds to a deautonomization of the Seiberg-Witten integrable system which implies a specific time dependence in its Hamiltonians. We show that the corresponding $τ$-function is proportional to the dual gauge theory partition function, the proportionality factor being a non trivial function of the solution of the deautonomized Seiberg-Witten integrable system. This is obtained by mapping the isomonodromic deformation problem to $W_N$ free fermion correlators on the torus. |
| title | Circular quiver gauge theories, isomonodromic deformations and $W_N$ fermions on the torus |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/1909.07990 |