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<p>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 <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>1</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=1 \)</EquationSource> </InlineEquation> superconformal field theories (SCFT) on <i>S</i><sup>1</sup>. This is obtained via analysing these theories in the light of (<i>q</i>-)Painlevé/gauge theory correspondence, which allows to compute the five dimensional BPS partition functions as an expansion in the Wilson loop vev with integer <i>q</i>-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 <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msub> <mover accent="true"> <mi>E</mi> <mo stretchy="true">~</mo> </mover> <mn>1</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\overset{\sim }{E}}_1 \)</EquationSource> </InlineEquation> SCFT and its limit to H<sub>0</sub> = (<i>A</i><sub>1</sub><i>, A</i><sub>2</sub>) AD theory.</p>

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On a 5D UV completion of Argyres-Douglas theories

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  • 发表日期：

    2026年5月12日

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  • Giulio Bonelli,
  • Pavlo Gavrylenko,
  • Ideal Majtara,
  • Alessandro Tanzini

摘要

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 N = 1 \( \mathcal{N}=1 \) superconformal field theories (SCFT) on S1. 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 E ~ 1 \( {\overset{\sim }{E}}_1 \) SCFT and its limit to H0 = (A1, A2) AD theory.