\(q\)-vertex operator from 5D Nekrasov function

DOI10.1088/1751-8113/49/34/345201zbMATH Open1362.82022arXiv1602.01209OpenAlexW3100416897MaRDI QIDQ2822113

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Publication date: 27 September 2016

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Abstract: The five dimensional AGT correspondence implies the connection between the q-deformed Virasoro block and the 5d Nekrasov partition function. In this paper, we determine a q-deformation of the four-point block in the Coulomb gas representation from the 5d Nekrasov function, and obtain an expression of the q-deformed vertex operator. If we use only one kind of the q-vertex operators, one of the insertion points of them must be modified in order to hold the 2d/5d correspondence.

Full work available at URL: https://arxiv.org/abs/1602.01209

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