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<p>We consider two four-dimensional gauge theories with gauge group SU(<i>N</i>): the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 Super Yang-Mills (SYM) theory and the <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 2 quiver gauge theory obtained as a <i>ℤ</i><sub>2</sub> orbifold of <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N} \)</EquationSource> </InlineEquation> = 4 SYM. In this context, we study a novel class of integrated correlators, namely those involving <i>n</i>-coincident Wilson lines and two moment map operators of conformal dimension two. By exploiting supersymmetric localization, we obtain exact expressions for these observables valid in the large-<i>N</i> limit. Furthermore, using a combination of analytical and numerical methods, we derive their strong coupling expansions.</p>

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Integrated correlators of coincident Wilson lines in SU(N) gauge theories at strong coupling

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  • 发表日期：

    2025年10月10日

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  • Lorenzo De Lillo,
  • Alessandro Pini

摘要

We consider two four-dimensional gauge theories with gauge group SU(N): the N \( \mathcal{N} \) = 4 Super Yang-Mills (SYM) theory and the N \( \mathcal{N} \) = 2 quiver gauge theory obtained as a ℤ2 orbifold of N \( \mathcal{N} \) = 4 SYM. In this context, we study a novel class of integrated correlators, namely those involving n-coincident Wilson lines and two moment map operators of conformal dimension two. By exploiting supersymmetric localization, we obtain exact expressions for these observables valid in the large-N limit. Furthermore, using a combination of analytical and numerical methods, we derive their strong coupling expansions.