On a 5D UV completion of Argyres-Douglas theories
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908692524302336 |
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| author | Bonelli, Giulio Gavrylenko, Pavlo Majtara, Ideal Tanzini, Alessandro |
| author_facet | Bonelli, Giulio Gavrylenko, Pavlo Majtara, Ideal Tanzini, Alessandro |
| contents | We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories in the $Ω$-background by its embedding into the renormalisation group flow from five dimensional $\mathcal{N}=1$ superconformal field theories (SCFT) on $S^1$. This is obtained via analysing these theories in the light of ($q$-)Painlevé/gauge theory correspondence, which allows to compute the five dimensional BPS partition functions as an expansion in the Wilson loop vev with integer $q$-polynomials coefficients. These are derived formulating the gauge theory on a blown-up geometry and using a five-dimensional lift of (topological) operator/state correspondence. We discuss in detail the phase diagram of the four dimensional limits, pinpointing the special AD loci. Explicit computations are reported for $\tilde E_1$ SCFT and its limit to H$_0=(A_1,A_2)$ AD theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a 5D UV completion of Argyres-Douglas theories Bonelli, Giulio Gavrylenko, Pavlo Majtara, Ideal Tanzini, Alessandro High Energy Physics - Theory Mathematical Physics We discuss a novel UV completion of a class of Argyres-Douglas (AD) theories in the $Ω$-background by its embedding into the renormalisation group flow from five dimensional $\mathcal{N}=1$ superconformal field theories (SCFT) on $S^1$. This is obtained via analysing these theories in the light of ($q$-)Painlevé/gauge theory correspondence, which allows to compute the five dimensional BPS partition functions as an expansion in the Wilson loop vev with integer $q$-polynomials coefficients. These are derived formulating the gauge theory on a blown-up geometry and using a five-dimensional lift of (topological) operator/state correspondence. We discuss in detail the phase diagram of the four dimensional limits, pinpointing the special AD loci. Explicit computations are reported for $\tilde E_1$ SCFT and its limit to H$_0=(A_1,A_2)$ AD theory. |
| title | On a 5D UV completion of Argyres-Douglas theories |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2508.05610 |