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Plethystics and instantons on ALE spaces

Yui Noma, Toshio Nakatsu, Takeshi Tamakoshi

Abstract

We present an expression of a deformed partition function for N=2 U(1) gauge theory on C^2/Z_k by using plethystic exponentials.

Plethystics and instantons on ALE spaces

Abstract

We present an expression of a deformed partition function for N=2 U(1) gauge theory on C^2/Z_k by using plethystic exponentials.

Paper Structure

This paper contains 1 section, 13 equations, 1 figure.

Table of Contents

  1. Partitions

Figures (1)

  • Figure 1: Young diagrams which contribute to the coefficient of $\nu^2$ in eq. (\ref{['eq;q-deformed partition function']}) for the case of $k=3$. The boxes filled with black circles contribute to the products in eq. (\ref{['eq;q-deformed partition function']}). $3$-tuple partitions attached below each Young diagram are the corresponding $3$-quotients.