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

Masahide Manabe

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

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arxiv 2004.13960 v2 pith:K2IC7MS7 submitted 2020-04-29 hep-th math-phmath.MP

Masahide Manabe This is my paper · ORCID

classification hep-thmath-phmath.MP

keywords mathbbmathcalcharacterscountinginstantonminimalmodelparafermion

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abstract

We propose, following the AGT correspondence, how the $\mathcal{W}^{\, para}_{N, n}$ ($n$-th parafermion $\mathcal{W}_N$) minimal model characters are obtained from the $U(N)$ instanton counting on ${\mathbb {C}}^2/{\mathbb {Z}}_n$ with $\Omega$-deformation by imposing specific conditions which remove the minimal model null states.

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