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Regular version of the site

Article

Bases in coset conformal field theory from AGT correspondence and Macdonald polynomials at the roots of unity

Journal of High Energy Physics. 2013. No. 3. P. 1-36.
Belavin A., Bershtein M., Tarnopolsky G.

A bstract We continue our study of the AGT correspondence between instanton counting on
${{{{{\ mathbb {C}}^ 2}}}\ left/{{{{\ mathbb {Z}} _p}}}\ right.} $ and Conformal field theories with
the symmetry algebra $\ mathcal {A}\ left ({r, p}\ right) $. In the cases r= 1, p= 2 and r= 2, p= 2
this algebra specialized to: $\ mathcal {A}\ left ({1, 2}\ right)=\ mathcal {H}\ oplus\ widehat {\
mathfrak {sl}}{(2) _1} $ and $\ mathcal {A}\ left ({2, 2}\ right)=\ mathcal {H}\ oplus\ widehat {\
mathfrak {sl}}{(2) _2}\ oplus\ mathrm {NSR} $.