Gauge symmetry in Kitaev-type spin models and index theorems on odd manifolds
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Publication:952369
DOI10.1016/j.nuclphysb.2008.01.029zbMath1292.82008arXiv0704.3829OpenAlexW2105603493MaRDI QIDQ952369
Publication date: 12 November 2008
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0704.3829
Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of PDEs on manifolds (58J90)
Related Items (4)
Honeycomb lattice Kitaev model with Wen-Toric-code interactions, and anyon excitations ⋮ Bulk-edge correspondence, spectral flow and Atiyah-Patodi-Singer theorem for the \(\mathcal{Z}_2\)-invariant in topological insulators ⋮ FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS ⋮ The Yang–Baxter paradox
Cites Work
- Anyons in an exactly solved model and beyond
- Quantum field theory and the Jones polynomial
- Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem
- An index theorem for Toeplitz operators on odd-dimensional manifolds with boundary
- The index of elliptic operators. IV, V
- Scheme for Demonstration of Fractional Statistics of Anyons in an Exactly Solvable Model
- Spectral asymmetry and Riemannian geometry. III
- The [eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary]
- Quantum invariants of knots and 3-manifolds
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