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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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5 results for “BV-BRST”
On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomialshep-th

Study quantum aspects of 1-form symmetries using BV-BRST cohomology.

problem Quantum aspects of gauging continuous 1-form global symmetries.
method BV-BRST quantization of a U(1) 2-form gauge field, Lie 2-algebroid construction, Čech-de Rham bicomplex.
result Anomaly descent for U(1) 1-form symmetries is naturally set up in the Čech-de Rham bicomplex.
quantum aspects1-form symmetriesBV-BRST cohomologyanomaly descentU(1) gauge field
2026-06-04abs ↗pdf ↗
On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomialshep-th

Study quantum aspects of 1-form symmetries using BV-BRST cohomology and gerbes.

problem Quantum aspects of gauging continuous 1-form global symmetries.
method BV-BRST quantization of a U(1) 2-form gauge field, Lie 2-algebroid construction, Čech-de Rham bicomplex.
result Anomaly descent for U(1) 1-form symmetries is naturally set up in the Čech-de Rham bicomplex.
quantum field theory1-form symmetriesBV-BRST cohomologygerbesanomaly descent
2026-06-04abs ↗pdf ↗
Basic curvature and the Atiyah cocycle in gauge theoryhep-th

Study connections on Lie and Courant algebroids, defining basic curvature and Atiyah cocycle.

problem Understanding connections on Lie and Courant algebroids and their compatibility.
method Revisit and define basic curvature for Lie algebroids, introduce basic curvature for Courant algebroids, and use Atiyah cocycle for gauge theory.
result Basic curvature tensor for Courant algebroids and its relation to the Atiyah cocycle.
connectionsalgebroidsbasic curvatureAtiyah cocyclegauge theory
2023-02-09abs ↗pdf ↗