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Deconfinement on axion domain walls

Anber, Mohamed M. and Poppitz, Erich (2020) 'Deconfinement on axion domain walls.', Journal of high energy physics., 2020 (3). p. 124.


We study SU(Nc) gauge theories with Dirac fermions in representations ℛ of nonzero N -ality, coupled to axions. These theories have an exact discrete chiral symmetry, which has a mixed ’t Hooft anomaly with general baryon-color-flavor backgrounds, called the “BCF anomaly” in [1]. The infrared theory also has an emergent Z(1)Nc 1-form center symmetry. We show that the BCF anomaly is matched in the infrared by axion domain walls. We argue that Z(1)Nc is spontaneously broken on axion domain walls, so that nonzero N -ality Wilson loops obey the perimeter law and probe quarks are deconfined on the walls. We give further support to our conclusion by using a calculable small-circle compactification to study the multi-scale structure of the axion domain walls and the microscopic physics of deconfinement on their worldvolume.

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Publisher statement:Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:03 March 2020
Date deposited:04 October 2021
Date of first online publication:23 March 2020
Date first made open access:04 October 2021

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