Bulk-edge correspondence for fractional quantum Hall systems is realized as relative higher gauge theory from the complex Hopf fibration, geometrically engineered via M2/M5-branes and TED Cohomotopy flux quantization.
Topological quantum computation
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Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
Analytical calculation for N≤7 shows composite fermion wavefunction yields lower two-quasiparticle excitation energy per particle than Laughlin, with the difference decreasing as system size increases.
citing papers explorer
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Bulk-Edge Correspondence via Higher Gauge Theory
Bulk-edge correspondence for fractional quantum Hall systems is realized as relative higher gauge theory from the complex Hopf fibration, geometrically engineered via M2/M5-branes and TED Cohomotopy flux quantization.
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Engineering of Anyons on M5-Probes via Flux Quantization
Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.
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Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
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New exact analytical results for two quasiparticle excitation in the fractional quantum Hall effect
Analytical calculation for N≤7 shows composite fermion wavefunction yields lower two-quasiparticle excitation energy per particle than Laughlin, with the difference decreasing as system size increases.