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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9 Pith papers cite this work. Polarity classification is still indexing.
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An SU(12)-based model unifies quark color-flavor and lepton flavor, generates Yukawas via instantons, solves strong CP with massless quarks, implements a flavored seesaw, and stabilizes the proton via a discrete gauge symmetry X = B - 3(L_i + L_j - L_k).
Higher symmetries in axion EFTs impose emergence constraints universally saturated by anomaly inflow onto topological defects but relaxed in perturbative UV completions due to scale separation.
Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.
From anomaly cancellation plus a stipulated minimality principle, the Standard Model is forced to N_c=N_f=3; the paper proves supporting theorems: H^d(Z_n,U(1)) cocycles split under the Z_n→Z_{n^2} extension, while A_{Z_n}p_1 classes do not.
Anomaly inflow on monodromy defects in anomalous symmetry theories defines them as domain walls inducing topological order, yielding protected chiral edge modes and adiabatic pumping of gapless degrees of freedom, verified in chiral symmetry examples on continuum and lattice.
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.
Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge 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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Quark-Lepton Color-Flavor Unification
An SU(12)-based model unifies quark color-flavor and lepton flavor, generates Yukawas via instantons, solves strong CP with massless quarks, implements a flavored seesaw, and stabilizes the proton via a discrete gauge symmetry X = B - 3(L_i + L_j - L_k).
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Generalized symmetries and emergence in axion effective field theories
Higher symmetries in axion EFTs impose emergence constraints universally saturated by anomaly inflow onto topological defects but relaxed in perturbative UV completions due to scale separation.
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Non-invertible symmetries in the axiverse, and the imaginary wormholes
Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.
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Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension
From anomaly cancellation plus a stipulated minimality principle, the Standard Model is forced to N_c=N_f=3; the paper proves supporting theorems: H^d(Z_n,U(1)) cocycles split under the Z_n→Z_{n^2} extension, while A_{Z_n}p_1 classes do not.
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When Symmetries Twist: Anomaly Inflow on Monodromy Defects
Anomaly inflow on monodromy defects in anomalous symmetry theories defines them as domain walls inducing topological order, yielding protected chiral edge modes and adiabatic pumping of gapless degrees of freedom, verified in chiral symmetry examples on continuum and lattice.
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What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
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ICTP Lectures on (Non-)Invertible Generalized Symmetries
Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.
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Lectures on Generalized Symmetries
Lecture notes that systematically introduce higher-form symmetries, SymTFTs, higher-group symmetries, and related concepts in QFT using gauge theory examples.