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<p>We further develop the BPS/CFT correspondence between quiver W-algebras/<i>qq</i>-characters and partition functions of gauge origami. We introduce <i>qq</i>-characters associated with multi-dimensional partitions with nontrivial boundary conditions which we call Donaldson-Thomas (DT) <i>qq</i>-characters. They are operator versions of the equivariant DT vertices of toric Calabi-Yau three and four-folds. Moreover, we revisit the construction of the D8 <i>qq</i>-characters with no boundary conditions and give a quantum algebraic derivation of the sign rules of the magnificent four partition function. We also show that under the proper sign rules, the D6 and D8 <i>qq</i>-characters with no boundary conditions all commute with each other and discuss its physical interpretation.</p>

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Gauge origami and quiver W-algebras. Part III. Donaldson-Thomas qq-characters

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月7日

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  • Taro Kimura,
  • Go Noshita

摘要

We further develop the BPS/CFT correspondence between quiver W-algebras/qq-characters and partition functions of gauge origami. We introduce qq-characters associated with multi-dimensional partitions with nontrivial boundary conditions which we call Donaldson-Thomas (DT) qq-characters. They are operator versions of the equivariant DT vertices of toric Calabi-Yau three and four-folds. Moreover, we revisit the construction of the D8 qq-characters with no boundary conditions and give a quantum algebraic derivation of the sign rules of the magnificent four partition function. We also show that under the proper sign rules, the D6 and D8 qq-characters with no boundary conditions all commute with each other and discuss its physical interpretation.