On dimensional transmutation in 1 + 1D quantum hydrodynamics

DOI10.1063/1.5131471zbMath1454.81144arXiv1910.02606OpenAlexW3080659747MaRDI QIDQ5141010

Olesya Koroteeva, Peter Koroteev, Alexander Gorsky, Arkady Vainshtein

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02606

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Kaluza-Klein and other higher-dimensional theories (83E15) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (5)

Double Inozemtsev limits of the quantum DELL system ⋮ On Cherednik and Nazarov-Sklyanin large N limit construction for integrable many-body systems with elliptic dependence on momenta ⋮ The non-chiral intermediate Heisenberg ferromagnet equation ⋮ Dualities in quantum integrable many-body systems and integrable probabilities. I. ⋮ A slow review of the AGT correspondence

Cites Work

• The stringy instanton partition function
• BPS states in the \(\Omega\)-background and torus knots
• Givental \(J\)-functions, quantum integrable systems, AGT relation with surface operator
• Evidence for large-\(N\) phase transitions in \( \mathcal{N}={2^{*}} \) theory
• Quantum hydrodynamics from large-\(n\) supersymmetric gauge theories
• Affine \(SL(2)\) conformal blocks from 4d gauge theories
• On spectrum of ILW hierarchy in conformal field theory
• Generalized internal long waves equations: Construction, Hamiltonian structure, and conservation laws
• Periodic intermediate long wave equation: The undressing method
• The finite Toda lattices
• Five-dimensional gauge theories and relativistic integrable systems
• Intersecting surface defects and instanton partition functions
• Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian
• BPS/CFT correspondence. IV: Sigma models and defects in gauge theory
• Integrability and Seiberg-Witten exact solution
• Integrable systems and supersymmetric gauge theory
• Supersymmetric Yang-Mills theory and integrable systems
• The quantum DELL system
• Liouville correlation functions from four-dimensional gauge theories
• Laughlin states and gauge theory
• Surface defects and instanton-vortex interaction
• Defects and quantum Seiberg-Witten geometry
• Peierls Model and Vacuum Structure in the N = 2 Supersymmetric Field Theories
• On elliptic algebras and large-n supersymmetric gauge theories
• On Stable Khovanov Homology of Torus Knots
• Quantum cohomology of the Hilbert scheme of points on 𝒜_{𝓃}-resolutions
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• Quantum Integrability and Supersymmetric Vacua
• On a Gauss-Givental representation of quantum Toda chain wave function
• A commutative algebra on degenerate CP1 and Macdonald polynomials
• Integrable hydrodynamics of Calogero–Sutherland model: bidirectional Benjamin–Ono equation
• Periodic ILW equation with discrete Laplacian
• A continuum limit of the Toda lattice
• On spectrum of ILW hierarchy in conformal field theory II: coset CFT's

This page was built for publication: On dimensional transmutation in 1 + 1D quantum hydrodynamics