Gross-Neveu models, nonlinear Dirac equations, surfaces and strings
DOI10.1007/JHEP01(2011)127zbMath1214.81071arXiv1011.3835MaRDI QIDQ544331
Publication date: 14 June 2011
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.3835
PDEs in connection with fluid mechanics (35Q35) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetry breaking in quantum theory (81R40) Statistical thermodynamics (82B30)
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Cites Work
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- Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
- Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
- The nonlinear Dirac equation in Bose-Einstein condensates: foundation and symmetries
- All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions
- Pohlmeyer reduction of \(\text{AdS}_5\times S^5\) superstring sigma model
- The Bogoliubov-de Gennes system, the AKNS hierarchy, and nonlinear quantum mechanical supersymmetry
- Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
- On the two-dimensional Zakharov-Shabat problem
- Veselov-Novikov equation as a natural two-dimensional generalization of the Korteweg-de Vries equation
- Weierstrass formula for surfaces of prescribed mean curvature
- Soliton immersions
- Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces
- All about the static fermion bags in the Gross-Neveu model.
- Integrable Hamiltonian systems and interactions through quadratic constraints
- Surfaces on Lie groups, on Lie algebras, and their integrability (with an appendix by Juan Carlos Alvarez Paiva)
- Weierstrass representations for surfaces in 4D spaces and their integrable deformations via DS hierarchy
- The Gross-Neveu model from string theory
- Surfaces in the four-space and the Davey-Stewartson equations
- Integrable surfaces
- Deformation of surfaces, integrable systems, and Chern–Simons theory
- Constant mean curvature surfaces and integrable equations
- From relativistic quantum fields to condensed matter and back again: updating the Gross–Neveu phase diagram
- Notes on integrability in gauge theory and string theory
- Integrable and solvable systems, and relations among them
- The Self-Duality Equations on a Riemann Surface
- Solitons on moving space curves
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Constant mean curvature surfaces via an integrable dynamical system
- Modified Novikov--Veselov equation and differential geometry of surfaces
- Hierarchy of soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Unified approach to strings and vortices with soliton solutions
- Self-Dual Chern-Simons Theories
- Induced Surfaces and Their Integrable Dynamics
- Kink dynamics, sinh-Gordon solitons and strings in AdS3from the Gross–Neveu model
- The nonlinear Dirac equation in Bose–Einstein condensates: superfluid fluctuations and emergent theories from relativistic linear stability equations
- Two-dimensional Dirac operator and the theory of surfaces
- A soliton on a vortex filament
- Giant magnons
- Connecting geometry, topology and spectra for finite-gap NLS potentials
- A formula for constructing infinitely many surfaces on Lie algebras and integrable equations
