Generalized ’t Hooft anomalies on non-spin manifolds

Anber, Mohamed M.; Poppitz, Erich

doi:10.1007/jhep04(2020)097

Generalized ’t Hooft anomalies on non-spin manifolds

Anber, Mohamed M.; Poppitz, Erich

Authors

Dr Mohamed Anber mohamed.anber@durham.ac.uk
Assistant Professor

Erich Poppitz

Abstract

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.

Citation

Anber, M. M., & Poppitz, E. (2020). Generalized ’t Hooft anomalies on non-spin manifolds. Journal of High Energy Physics, 2020(4), Article 97. https://doi.org/10.1007/jhep04%282020%29097

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
DOI	https://doi.org/10.1007/jhep04%282020%29097

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