SELF-DUAL YANG–MILLS: SYMMETRIES AND MODULI SPACE
DOI10.1142/S0129055X99000350zbMath0994.53013arXivhep-th/9803183OpenAlexW1984549041MaRDI QIDQ4519822
Publication date: 4 December 2000
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9803183
conformal field theoryDolbeault cohomologysymmetry groupself-dual Yang-Mills equationsinfinitesimal deformationsmoduli space of holomorphic vector bundlesself-dual conformal structuresPenrose-Ward correspondencenon-abelian Dolbeault theory
Yang-Mills and other gauge theories in quantum field theory (81T13) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)
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Cites Work
- Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras
- Solitons and infinite dimensional Lie algebras
- Non-Abelian bosonization in two dimensions
- A new approach to the self-dual Yang-Mills equations
- Complete integrability of the Kadomtsev-Petviashvili equation
- Some comments on the ADHM construction in 4k dimensions
- Loop groups and equations of KdV type
- Action of the loop group on the self-dual Yang-Mills equation
- Infinite conformal symmetry in two-dimensional quantum field theory
- Current algebras and Wess-Zumino model in two dimensions
- Quantum field theory and the Jones polynomial
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Self-dual Yang--Mills fields in \(d=7, 8\), octonions and Ward equations
- Nonlinear gravitons and curved twistor theory
- Instantons and algebraic geometry
- Implications of conformal invariance in field theories for general dimensions
- Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
- Integrable symplectic trilinear interaction terms for matrix membranes
- \(N=4\) topological strings
- The GSO projection, BRST cohomology and picture-changing in \(N=2\) string theory.
- All loop \(N=2\) string amplitudes
- The dynamical structure of higher dimensional Chern-Simons theory
- Self-Dual Yang–Mills Equations and Integrable Reductions
- Integrable and solvable systems, and relations among them
- Self-duality in four-dimensional Riemannian geometry
- On infinite-dimensional algebras of symmetries of the self-dual Yang–Mills equations
- Octonionic superstring solitons
- Quantization of the self-dual Yang-Mills system: Exchange algebras and local quantum group in four-dimensional quantum field theories
- Four-dimensional avatars of two-dimensional RCFT
- On self-dual gauge fields