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<p>Quiver Yangians are infinite-dimensional algebras capturing the BPS structure of a large class of supersymmetric models. Quiver theories related by Seiberg duality are expected to have isomorphic quiver Yangians, and this isomorphism has previously been shown for quivers corresponding to generalised conifold geometries. In this work, we present an explicit isomorphism for the two Seiberg dual phases of the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi mathvariant="double-struck">F</mi> <mn>0</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\mathbbm{F}}_0 \)</EquationSource> </InlineEquation> quiver theory, which falls outside of the above class. Some aspects of our construction are similar to the known cases, while others appear to be specific to the <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <msub> <mi mathvariant="double-struck">F</mi> <mn>0</mn> </msub> </math></EquationSource> <EquationSource Format="TEX">\( {\mathbbm{F}}_0 \)</EquationSource> </InlineEquation> quiver. In particular, the map involves square roots of operators bilinear in the fermionic fields of the mode being dualised.</p>

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On isomorphisms between quiver Yangians

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月16日

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  • Vishnu Jejjala,
  • Dumisani Nxumalo,
  • Konstantinos Zoubos

摘要

Quiver Yangians are infinite-dimensional algebras capturing the BPS structure of a large class of supersymmetric models. Quiver theories related by Seiberg duality are expected to have isomorphic quiver Yangians, and this isomorphism has previously been shown for quivers corresponding to generalised conifold geometries. In this work, we present an explicit isomorphism for the two Seiberg dual phases of the F 0 \( {\mathbbm{F}}_0 \) quiver theory, which falls outside of the above class. Some aspects of our construction are similar to the known cases, while others appear to be specific to the F 0 \( {\mathbbm{F}}_0 \) quiver. In particular, the map involves square roots of operators bilinear in the fermionic fields of the mode being dualised.