\(q\)-vertex operator from 5D Nekrasov function (Q2822113)

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scientific article; zbMATH DE number 6630127
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\(q\)-vertex operator from 5D Nekrasov function
scientific article; zbMATH DE number 6630127

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    27 September 2016
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    \(q\)-vertex operator
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    5d Nekrasov function
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    Coulomb gas
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    \(q\)-vertex operator from 5D Nekrasov function (English)
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    It is known that the five-dimensional AGT correspondence implies the connection between the \(q\)-deformed Virasoro block and the 5d Nekrasov partition function. In the present paper, using methods of Kadell's formula, a \(q\)-deformation of the four-point block in the Coulomb gas representation is determined from the 5d Nekrasov function. By means of a free field representation of the \(q\)-screening charges, an explicit form of the \(q\)-vertex operator is derived.
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