$n$-th parafermion ${\mathcal{W}}_N$ characters from $U(N)$ instanton counting on ${\mathbb{C}}^2/{\mathbb{Z}}_n$

Masahide Manabe

We propose, following the AGT correspondence, how the ${\mathcal{W}}_{N,n}^{para}$ ($n$-th parafermion ${\mathcal{W}}_N$) minimal model characters are obtained from the $U(N)$ inst…