Holomorphic Chern-Simons-Witten theory: From 2D to 4D conformal field theories

DOI10.1016/S0550-3213(99)00227-8zbMath0947.81105arXivhep-th/9806239MaRDI QIDQ1572142

Alexander D. Popov

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9806239

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Groups and algebras in quantum theory and relations with integrable systems (81R12) Applications of global analysis to structures on manifolds (57R57) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

Related Items

CLOSED N=2 STRINGS: PICTURE-CHANGING, HIDDEN SYMMETRIES AND SDG HIERARCHY, Four-dimensional conformal field theory using quaternions, Supersymmetric Yang-Mills theory as higher Chern-Simons theory, Hidden symmetries and integrable hierarchy of the \({\mathcal{N}}= 4\) supersymmetric Yang-Mills equations, Renormalization for holomorphic field theories, Holomorphic analogs of topological gauge theories, Boundary conformal field theories, limit sets of Kleinian groups and holography

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Metrics on the moduli spaces of instantons over Euclidean 4-space
• Topological gauge theories and group cohomology
• Quantum field theory, Grassmannians, and algebraic curves
• Quantum field theory and the Jones polynomial
• The operator algebra of orbifold models
• Construction of instantons
• Self-dual space-times with cosmological constant
• All unitary ray representations of the conformal group SU(2,2) with positive energy
• Nonlinear gravitons and curved twistor theory
• Instantons and algebraic geometry
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• \(N=4\) topological strings
• Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions
• On the centre of a transitive semisimple Lie group
• Some results for SU(N) gauge-fields on the hypertorus
• All loop \(N=2\) string amplitudes
• New \(N = 2\) superconformal field theories in four dimensions
• New principles for string/membrane unification
• Flat twistor spaces, conformally flat manifolds and four-dimensional field theory
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• Linear field equations on self-dual spaces
• Self-duality in four-dimensional Riemannian geometry
• Quantization of the self-dual Yang-Mills system: Exchange algebras and local quantum group in four-dimensional quantum field theories
• On Infinitesimal Symmetries of the Self-Dual Yang-Mills Equations
• SELF-DUAL YANG–MILLS: SYMMETRIES AND MODULI SPACE
• On the existence of hermitian-yang-mills connections in stable vector bundles
• MANIFOLDS WITH MANY COMPLEX STRUCTURES
• Four-dimensional avatars of two-dimensional RCFT
• On self-dual gauge fields