Dimer models, integrable systems and quantum Teichmüller space

DOI10.1007/JHEP09(2011)057zbMath1301.81208arXiv1105.1777OpenAlexW2043930174MaRDI QIDQ480554

Sebastián Franco

Publication date: 8 December 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.1777

zbMATH Keywords

D-branesconformal field models in string theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Representations of quivers and partially ordered sets (16G20) Teichmüller theory for Riemann surfaces (30F60) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

New directions in bipartite field theories, Quivers, YBE and 3-manifolds, Brane brick models for the Sasaki-Einstein 7-manifolds \(Y^{p,k}(\mathbb{CP}^1 \times \mathbb{CP}^1)\) and \(Y^{p,k}(\mathbb{CP}^2)\), The Hilbert series of \(\mathcal{N}=1\) \(SO(N_c)\) and \(Sp(N_c)\) SQCD, Painlevé VI and integrable systems, Integrability on the master space, Dimer models and integrable systems, Brane tilings and specular duality, Towards the continuous limit of cluster integrable systems, Colored BPS pyramid partition functions, quivers and cluster transformations, Bipartite field theories: from D-brane probes to scattering amplitudes

Cites Work

• Unnamed Item
• \( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls
• Quantization of the Hitchin moduli spaces, Liouville theory and the geometric Langlands correspondence. I
• Dimer models from mirror symmetry and quivering amoebæ
• Crystal melting and toric Calabi-Yau manifolds
• Quantization of Teichmüller spaces and the quantum dilogarithm
• Five-dimensional gauge theories and relativistic integrable systems
• Dimer models and integrable systems
• Liouville correlation functions from four-dimensional gauge theories
• D-branes at toric singularities: model building, Yukawa couplings and flavour physics
• Dimers and amoebae
• Dimers and cluster integrable systems
• A quantum Teichmüller space