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arXiv · 1912.02732

From Exact Results to Gauge Dynamics on $\mathbb{R}^3\times S^1$

Arash Arabi Ardehali·Luca Cassia·Yongchao Lü
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Abstract

We revisit the vacuum structure of the $\mathcal{N}=1$ Intriligator-Seiberg-Shenker model on $\mathbb{R}^3\times S^1$. Guided by the Cardy-like asymptotics of its Romelsberger index, and building on earlier semi-classical results by Poppitz and \"{U}nsal, we argue that previously overlooked non-perturbative effects generate a Higgs-type potential on the classical Coulomb branch of the low-energy effective 3d $\mathcal{N}=2$ theory. In particular, on part of the Coulomb branch we encounter the first instance of a dynamically-generated quintic monopole superpotential.

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Arash Arabi Ardehali, Luca Cassia, Yongchao Lü. 2019-12-05. From Exact Results to Gauge Dynamics on $\mathbb{R}^3\times S^1$. https://doi.org/10.1007/jhep08(2020)053

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