Numerical simulations of Z_3 and Z_4 domain-wall collisions show vortex-antivortex creation mediating mergers in SU(3) and energy-dependent outcomes in SU(4), establishing a dynamical role for topological strings.
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Demonstrates 't Hooft anomaly under Z2 gauging of O(3) NLSM for Θ = π mod 2π, implying the RP2 sigma model does not exist and relating to spin-chain crystal momenta.
A review of topological defects in glasses, their theoretical foundations, and correlations with plasticity and shear-band formation in amorphous solids.
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Dynamics of ($Z_N$) Domain Walls in SU(N) Gauge Theories
Numerical simulations of Z_3 and Z_4 domain-wall collisions show vortex-antivortex creation mediating mergers in SU(3) and energy-dependent outcomes in SU(4), establishing a dynamical role for topological strings.
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Nonlinear sigma models, antiperiodic boundary conditions, spin chains, and 't Hooft anomalies
Demonstrates 't Hooft anomaly under Z2 gauging of O(3) NLSM for Θ = π mod 2π, implying the RP2 sigma model does not exist and relating to spin-chain crystal momenta.
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The Physics of Topological Defects in Glasses
A review of topological defects in glasses, their theoretical foundations, and correlations with plasticity and shear-band formation in amorphous solids.