<p>In this paper, we establish a relation between the quantum corner VOA <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27357_Article_IEq1.gif" Format="GIF" Height="24" Rendition="HTML" Resolution="72" Type="Linedraw" Width="73" /> </InlineMediaObject> <EquationSource Format="TEX">\(q{\widetilde{Y}}_{L,0,N}[\Psi ]\)</EquationSource> </InlineEquation>, which can be regarded as a generalization of quantum <i>W</i><sub><i>N</i></sub> algebra, and Sergeev-Veselov super Macdonald polynomials. We demonstrate precisely that, under a specific map, the correlation functions of the currents of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27357_Article_IEq1.gif" Format="GIF" Height="24" Rendition="HTML" Resolution="72" Type="Linedraw" Width="73" /> </InlineMediaObject> <EquationSource Format="TEX">\(q{\widetilde{Y}}_{L,0,N}[\Psi ]\)</EquationSource> </InlineEquation>, coincide with the Sergeev-Veselov super Macdonald polynomials.</p>

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Quantum corner VOA and the super Macdonald polynomials

  • Panupong Cheewaphutthisakun,
  • Jun’ichi Shiraishi,
  • Keng Wiboonton

摘要

In this paper, we establish a relation between the quantum corner VOA \(q{\widetilde{Y}}_{L,0,N}[\Psi ]\) , which can be regarded as a generalization of quantum WN algebra, and Sergeev-Veselov super Macdonald polynomials. We demonstrate precisely that, under a specific map, the correlation functions of the currents of \(q{\widetilde{Y}}_{L,0,N}[\Psi ]\) , coincide with the Sergeev-Veselov super Macdonald polynomials.