Self-dual gravity and the chiral model

DOI10.1103/PhysRevLett.72.800zbMath0973.83509arXivgr-qc/9402020WikidataQ74549710 ScholiaQ74549710MaRDI QIDQ4492248

Viqar Husain

Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9402020

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (16)

Large \(N\) WZW field theory of \(N=2\) strings ⋮ Exact solutions of \(G\)-invariant chiral equations ⋮ Webs, Nijenhuis operators, and heavenly PDEs ⋮ Chiral higher spin theories and self-duality ⋮ The Affine symmetry of self-dual gravity ⋮ Self-dual gravity via Hitchin’s equations ⋮ On the \(\overline{\delta}\)-dressing method applicable to heavenly equation ⋮ Applications of the Ashtekar gravity to four-dimensional hyperkähler geometry and Yang–Mills instantons ⋮ Computing topological entropy in a space of quartic polynomials ⋮ Noncommutative electromagnetism as a large \(N\) gauge theory ⋮ Notes on emergent gravity ⋮ SU (N) - and SO(N)-invariant chiral fields: One- and two-dimensional subspaces ⋮ EMERGENT GRAVITY FROM NONCOMMUTATIVE SPACE–TIME ⋮ Calculating topological entropy ⋮ Integrated Lax formalism for principal chiral model ⋮ Large \(N\) field theory of \(\mathcal N=2\) strings and self-dual gravity

Cites Work

• Unnamed Item
• Self-dual gravity as a large-\(N\) limit of the 2D nonlinear sigma model
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• A new characterization of half-flat solutions to Einstein's equation
• A connection between the Einstein and Yang-Mills equations
• Nonlinear gravitons and curved twistor theory
• Ashtekar variables, self-dual metrics, and w _infinity
• Canonical structures on anti-self-dual four-manifolds and the diffeomorphism group
• Integrable Models
• Reductions of self-dual Yang-Mills fields and classical systems
• Symmetries of the Einstein equations
• THE ORIGIN OF GAUGE SYMMETRIES IN INTEGRABLE SYSTEMS OF THE KdV TYPE

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