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).
Reflections on Parity Breaking
7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Parity and CP symmetries are broken in the world around us. Nonetheless, parity (or CP) may be a gauge symmetry which is higgsed in our universe. This is assumed in many scenarios for physics beyond the Standard Model, including the classic Nelson--Barr proposal for the Strong CP problem. Gauged parity can only arise in quantum gravity, where it corresponds to a path integral over both orientable and non-orientable spacetime manifolds. We show that spontaneous breaking of gauged parity leads to exactly stable domain walls, and describe the implications for the cosmology of models with gauged parity. These domain walls carry an unusual sort of charge, which superficially has features in common with both gauge charges and global charges. We show that these unusual charges are consistent with the expected absence of global symmetries in quantum gravity when there exists a complete spectrum of dynamical objects required by the Swampland Cobordism Conjecture, including end-of-the-world branes.
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Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
A new scalar induces transient bias to decay CP domain walls from spontaneous CP violation while its oscillations constitute dark matter.
Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
Universal seesaw under a chiral U(1)_R forbids ordinary Yukawas except the top, generates charged-fermion and neutrino hierarchies, and realizes tree-level Nelson-Barr protection of strong CP.
Spontaneous CP violation is realized in SUSY via an extended spurion formalism in the exact limit and a model with intermediate-scale breaking along pseudo-flat directions stabilized by soft terms and non-perturbative gauge effects, predicting light scalars.
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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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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Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories
Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
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Transient Bias for CP Domain Wall Decay and Dark Matter
A new scalar induces transient bias to decay CP domain walls from spontaneous CP violation while its oscillations constitute dark matter.
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Bordisms between 9d type IIB supergravities and commutator widths of duality groups
Proposes a refinement of the Swampland Cobordism Conjecture for duality groups, arguing that diverging commutator widths necessitate infinitely many duality defects to realize monodromies in 9d supergravity bordisms.
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Flavor Hierarchies the Right Way
Universal seesaw under a chiral U(1)_R forbids ordinary Yukawas except the top, generates charged-fermion and neutrino hierarchies, and realizes tree-level Nelson-Barr protection of strong CP.
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Exploring the Landscape of Spontaneous CP Violation in Supersymmetric Theories
Spontaneous CP violation is realized in SUSY via an extended spurion formalism in the exact limit and a model with intermediate-scale breaking along pseudo-flat directions stabilized by soft terms and non-perturbative gauge effects, predicting light scalars.
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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.