Geometry of Higgs and Toda fields on Riemann surfaces
From MaRDI portal
Publication:1900127
DOI10.1016/0393-0440(94)00038-6zbMath0841.14005arXivhep-th/9312093OpenAlexW2092072870MaRDI QIDQ1900127
Ettore Aldrovandi, Gregorio Falqui
Publication date: 16 July 1996
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9312093
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Variation of Hodge structures (algebro-geometric aspects) (14D07) Vector bundles on curves and their moduli (14H60) Riemann surfaces; Weierstrass points; gap sequences (14H55) Riemann surfaces (30F99)
Related Items
Large chiral diffeomorphisms on Riemann surfaces and W-algebras, Topological-antitopological fusion and the quantum cohomology of Grassmannians, Minimal surfaces in AdS space and integrable systems, Toda lattice field theories, discrete \(W\) algebras, Toda lattice hierarchies and quantum groups., Toda lattice field theories, discrete \(W\) algebras, Toda lattice hierarchies and quantum groups, Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space, Anti-self-dual Yang-Mills equations on noncommutative space-time, Cyclic Higgs bundles and the affine Toda equations, Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations, Toda fields on Riemann surfaces: remarks on the Miura transformation, Matrix string theory 2D SYM instantons and affine Toda systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable bundles and integrable systems
- Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
- Harmonic mappings of Kähler manifolds to locally symmetric spaces
- Topological--anti-topological fusion.
- Kac-Moody construction of Toda type field theories.
- Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
- Flat G-bundles with canonical metrics
- Higgs bundles and local systems
- Classical \(A_ n\)-W-geometry
- Folding the \(W\) algebras
- Moduli of vector bundles on a compact Riemann surface
- Periods of integrals on algebraic manifolds. III: Some global differential-geometric properties of the period mapping
- Complex Analytic Connections in Fibre Bundles
- The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
- Topics in Transcendental Algebraic Geometry. (AM-106)
- The Self-Duality Equations on a Riemann Surface
- Twisted Harmonic Maps and the Self-Duality Equations
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- FREE FIELD REPRESENTATION OF TODA FIELD THEORIES
- Harmonic Mappings of Riemannian Manifolds