Integrable many-body systems and gauge theories
DOI10.1007/BF02551040zbMath1031.81030OpenAlexW2949371065MaRDI QIDQ5941931
Publication date: 7 March 2004
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02551040
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)
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- Strings in less than one dimension and the generalized KdV hierarchies
- Stable bundles and integrable systems
- Prepotential and the Seiberg-Witten theory
- Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics
- The sine-Gordon solitons as an \(N\)-body problem
- A new class of integrable systems and its relation to solitons
- Infinite determinants, stable bundles and curvature
- Topological quantum field theory
- Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
- The finite Toda lattices
- Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
- Construction of instantons
- Infinite dimensional Grassmannian structure of two-dimensional quantum gravity
- Three integrable Hamiltonian systems connected with isospectral deformations
- On classification of \(N=2\) supersymmetric theories
- Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory
- Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
- Geometric engineering of quantum field theories
- Geometry of \(N=1\) dualities in four dimensions
- On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories
- Branes, superpotentials and superconformal fixed points
- Strong coupling dynamics of four-dimensional \(N=1\) gauge theories from \(M\)-theory fivebrane
- Mirror symmetry and exact solution of \(4D\) \(N=2\) gauge theories. I
- D0-branes, constrained instantons and \(D=4\) super Yang-Mills theories
- Multiscale \(N=2\) SUSY field theories, integrable systems and their stringy/brane origin
- 5d and 6d supersymmetric gauge theories: Prepotentials from integrable systems
- Five-dimensional gauge theories and relativistic integrable systems
- Monopoles, duality and chiral symmetry breaking in \(N=2\) supersymmetric QCD
- Relativistic Calogero-Moser model as gauged WZW theory.
- Unity of superstring dualities.
- On double-elliptic integrable systems. I: A duality argument for the case of \(\text{SU}(2)\)
- Traces of intertwiners for quantum groups and difference equations. I
- Intersection theory on the moduli space of curves
- Integrability and Seiberg-Witten exact solution
- Integrable systems and supersymmetric gauge theory
- Supersymmetric Yang-Mills theory and integrable systems
- Bound states of strings and \(p\)-branes
- The vacuum structure of \(N=2\) super-QCD with classical gauge groups
- Two-dimensional black hole and singularities of CY manifolds
- \(D\)-branes and topological field theories
- Evidence for F-theory
- Integrable systems and algebraic surfaces
- Integrable many-body systems in the field theories
- \(F\)-theory and orientifolds
- Integrability and Seiberg-Witten theory -- curves and periods
- Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory
- Hamiltonian systems of Calogero-type, and two-dimensional Yang-Mills theory
- WHITHAM-TODA HIERARCHY AND N=2 SUPERSYMMETRIC YANG-MILLS THEORY
- PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS
- Hamiltonian group actions and dynamical systems of calogero type
- Elliptic Ruijsenaars–Schneider model from the cotangent bundle over the two-dimensional current group
- Dirichlet Branes and Ramond-Ramond Charges
- The eleven-dimensional supermembrane revisited
- Seiberg-Witten theory, monopole spectral curves and affine Toda solitons
- Exact results for \(N=2\) compactifications of heterotic strings
- Branes and the dynamics of QCD