Instantons and Berry’s connections on quantum graph
DOI10.1088/1751-8121/ac17a3zbMath1505.81044arXiv2104.02311OpenAlexW3185058709MaRDI QIDQ5877430
Inori Ueba, Makoto Sakamoto, Tomonori Inoue
Publication date: 13 February 2023
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.02311
Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Cites Work
- ADHM construction of (anti-)self-dual instantons in eight dimensions
- Supersymmetry and discrete transformations on \(S^{1}\) with point singularities
- Non-abelian monopole in the parameter space of point-like interactions
- Eigenfunction statistics on quantum graphs
- Construction of instanton and monopole solutions and reciprocity
- Irregular dynamics in a solvable one-dimensional quantum graph
- Construction of instantons
- ADHM construction of (anti-)self-dual instantons in \(4n\) dimensions
- Parasupersymmetry in quantum graphs
- Non-abelian quantum statistics on graphs
- Octonionic instantons in eight dimensions
- Symmetries of quantum graphs and the inverse scattering problem
- \(n\)-particle quantum statistics on graphs
- Berry's connection, Kähler geometry and the Nahm construction of monopoles
- BPS monopole in the space of boundary conditions
- Kirchhoff's rule for quantum wires
- Scattering theory on graphs
- Models for the BPS Berry connection
- Quantum reflection and transmission in ring systems with double Y-junctions: occurrence of perfect reflection
- Quark mass hierarchy and mixing via geometry of extra dimension with point interactions
- Homology groups for particles on one-connected graphs
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Extended supersymmetry and its reduction on a circle with point singularities
- 5d Dirac fermion on quantum graph
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