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Generalized โ€™t Hooft anomalies on non-spin manifolds

Anber, Mohamed M.; Poppitz, Erich

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Erich Poppitz


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 โ„›c of N -ality nc, formulated on non-spin manifolds. We show how to study these theories on โ„‚โ„™2 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. ๐•‹4). We also show how to consistently formulate various chiral gauge theories on non-spin manifolds.


Anber, M. M., & Poppitz, E. (2020). Generalized โ€™t Hooft anomalies on non-spin manifolds. Journal of High Energy Physics, 2020(4), Article 97.

Journal Article Type Article
Acceptance Date Mar 31, 2020
Online Publication Date Apr 16, 2020
Publication Date 2020
Deposit Date Oct 3, 2021
Publicly Available Date Oct 4, 2021
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2020
Issue 4
Article Number 97


Published Journal Article (503 Kb)

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Copyright 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.

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