Schreiber Bulk-Edge Correspondence via Higher Gauge Theory
A talk that I will have given:
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Urs Schreiber (on work at CQTS with H. Sati):
Bulk-Edge Correspondence via Higher Gauge Theory
manuscript draft: pdf
talk slides: pdf
talk at:
Alfried Krupp Wissenschaftskolleg, Greifswald, 4-6 May 2026
Abstract. More profound than bulk topological order of quantum materials is only its unwinding via gapless excitations along boundaries of the sample. We recast this bulk-edge correspondence — for the experimentally relevant case of fractional quantum Hall (FQH) systems — in terms of higher gauge theory, controlled by choices of classifying fibrations. For FQH systems we identify the complex Hopf fibration as classifying the bulk/boundary topological effects, and find that it yields a non-Lagrangian reconstruction of Floreanini-Jackiw/Wess-Zumino-Witten chiral edge currents.
Remarkably, the resulting effective FQH theory turns out to be “geometrically engineered” on M2/M5-brane probes of A-type orbi-singularities in 11D supergravity, globally completed by proper flux quantization in twisted equivariant differential (TED) Cohomotopy: Here the M-string ends of M2-branes on M5-branes engineer the FQH liquid's boundary. This geometric engineering on M-branes might naturally eludicate the curious combination of -symmetry and of super-symmetry that is known (I, II) to govern the collective excitations of FQH liquids at long wavelengths.
Related talks:
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The $1 Million Puzzle: Hadrons and Quantum Computers — Why Modern Physics Needs a New Global Mathematics, public evening lecture at Alfried Krupp Wissenschaftskolleg, Greifswald, 4-6 May 2026
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Complete Topological Quantization of Higher Gauge Fields, lecture series at: Geometry, Higher Structures, and Physics, Bayes Centre, Edinburgh, 8-12 December 2025
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Rethinking FQH Anyons, talk at NYU-NYUAD Workshop on Quantum Matter and Quantum Computing @ Center for Quantum Information Physics, NYU New York, 19-20 May 2025
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Last revised on May 7, 2026 at 13:10:23. See the history of this page for a list of all contributions to it.