Proposes topological leptogenesis where a new gapped topological order sector cancels the SM B-L anomaly and BSM dark matter consists of decaying line/surface defects with anyon charges.
Discrete gauge anomalies revisited
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We revisit discrete gauge anomalies in chiral fermion theories in $3+1$ dimensions. We focus on the case that the full symmetry group of fermions is $\mathrm{Spin}(4)\times\mathbb{Z}_n$ or $(\mathrm{Spin}(4)\times\mathbb{Z}_{2m})/\mathbb{Z}_{2}$ with $\mathbb{Z}_2$ being the diagonal $\mathbb{Z}_2$ subgroup. The anomalies are determined by the consistency condition --- based on the Dai-Freed theorem --- of formulating a chiral fermion theory on a generic spacetime manifold with a structure associated with either one of the above symmetry groups and are represented by elements of some finite abelian groups. Accordingly, we give a reformulation of the anomaly cancellation conditions, and compare them with the previous result by Ib\'{a}\~{n}ez and Ross. The role of symmetry extensions in discrete symmetry anomalies is clarified in a formal fashion. We also study gapped states of fermion with an anomalous global $\mathbb{Z}_n$ symmetry, and present a model for constructing these states in the framework of weak coupling.
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A Z4 × Z3 discrete gauge symmetry in the SM requires three new Majorana fermions whose lightest member is stable DM with mass from a singlet scalar VEV near the electroweak scale, enabling WIMP freeze-out via scalar-mediated annihilation.
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.
citing papers explorer
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Topological Leptogenesis
Proposes topological leptogenesis where a new gapped topological order sector cancels the SM B-L anomaly and BSM dark matter consists of decaying line/surface defects with anyon charges.
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WIMP Dark Matter from a Natural Discrete Gauge Symmetry in the Standard Model
A Z4 × Z3 discrete gauge symmetry in the SM requires three new Majorana fermions whose lightest member is stable DM with mass from a singlet scalar VEV near the electroweak scale, enabling WIMP freeze-out via scalar-mediated annihilation.
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Anomalies in family unification models from bordism classification
Family unification models from E7 cosets have no global sigma model anomalies because the torsion parts of their bordism groups vanish, as computed via the Atiyah-Hirzebruch spectral sequence, including when isotropy subgroups are gauged.
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Bounds on Discrete Gauge Symmetries in Supergravity
Upper bounds are placed on the order of enhanced discrete gauge symmetries in supersymmetric supergravity theories with 8 or more supercharges, with some bounds saturated by string theory examples.