Strings, SUSY gauge theories, and integrable systems

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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) 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)

Cites Work

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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
$c=I$ conformal field theories on Riemann surfaces
Topological sigma models
The finite Toda lattices
Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
Hamiltonian formalism of Whitham-type hierarchies and topological Landau- Ginsburg models
Integration of nonlinear equations by the methods of algebraic geometry
Method of averaging for two-dimensional integrable equations
On integrable systems and supersymmetric gauge theories
Vector bundles and $F$ theory
RG equations from Whitham hierarchy
Issues in topological gauge theory
Monopoles, duality and chiral symmetry breaking in $N=2$ supersymmetric QCD
Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
Intersection theory on the moduli space of curves
Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
Theta functions on Riemann surfaces
Integrability and Seiberg-Witten exact solution
Quantum cohomology of flag manifolds and Toda lattices
Supersymmetric Yang-Mills theory and integrable systems
Bound states of strings and $p$-branes
Gromov-Witten classes, quantum cohomology, and enumerative geometry
Holomorphic bundles and many-body systems
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
LANDAU-GINZBURG TOPOLOGICAL THEORIES IN THE FRAMEWORK OF GKM AND EQUIVALENT HIERARCHIES
Canonically Conjugate Variables for the Korteweg-de Vries Equation and the Toda Lattice with Periodic Boundary Conditions
Gravitational Quantum Cohomology
Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
Theta functions and non-linear equations
Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
The τ‐function of the universal whitham hierarchy, matrix models and topological field theories
MORE EVIDENCE FOR THE WDVV EQUATIONS IN ${\mathcal N} = 2$ SUSY YANG–MILLS THEORIES
Exact Results for Supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>σ</mml:mi></mml:math>Models
Dirichlet Branes and Ramond-Ramond Charges
The eleven-dimensional supermembrane revisited
Branes and the dynamics of QCD