Discrete and higher-form symmetries in SCFTs from wrapped M5-branes

Ibrahima Bah (Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, MD, 21218, USA) ; Federico Bonetti (Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, MD, 21218, USA) ; Ruben Minasian (Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, Gif-sur-Yvette, F-91191, France)

We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to AdS 5. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF terms yield dual field theories with distinct global discrete symmetries. We discuss in detail these symmetries and their ’t Hooft anomalies for 4d N $$ \mathcal{N} $$ = 1 SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a ℤ2 orbifold singularity. The anomaly polynomial is computed via inflow and contains background fields for discrete global 0-, 1-, and 2-form symmetries and continuous 0-form symmetries, as well as axionic background fields. The latter are properly interpreted in the context of anomalies in the space of coupling constants.

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      "source": "Springer", 
      "value": "We analyze topological mass terms of BF type arising in supersymmetric M-theory compactifications to AdS 5. These describe spontaneously broken higher-form gauge symmetries in the bulk. Different choices of boundary conditions for the BF terms yield dual field theories with distinct global discrete symmetries. We discuss in detail these symmetries and their \u2019t Hooft anomalies for 4d   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 1 SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a \u21242 orbifold singularity. The anomaly polynomial is computed via inflow and contains background fields for discrete global 0-, 1-, and 2-form symmetries and continuous 0-form symmetries, as well as axionic background fields. The latter are properly interpreted in the context of anomalies in the space of coupling constants."
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Published on:
22 March 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 3
Pages 1-64
DOI:
https://doi.org/10.1007/JHEP03(2021)196
arXiv:
2007.15003
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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