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Generalized ’t Hooft anomalies on non-spin manifolds

Anber, Mohamed M. and Poppitz, Erich (2020) 'Generalized ’t Hooft anomalies on non-spin manifolds.', Journal of high energy physics., 2020 (4). 097.


We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in SU(Nc) gauge theories with Nf flavors of Dirac fermions in representations ℛc of N -ality nc, formulated on non-spin manifolds. We show how to study these theories on ℂℙ2 by turning on general BCF fluxes consistent with the fermion transition functions. We consider several examples in detail and argue that matching the anomaly on non-spin manifolds places stronger constraints on the infrared physics, compared to the ones on spin manifolds (e.g. 𝕋4). We also show how to consistently formulate various chiral gauge theories on non-spin manifolds.

Item Type:Article
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Publisher statement: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:31 March 2020
Date deposited:04 October 2021
Date of first online publication:16 April 2020
Date first made open access:04 October 2021

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