NONCOMMUTATIVE GEOMETRY, GEOMETRICAL ASPECTS OF SKYRMIONS AND STRING THEORY

DOI10.1142/S0217751X01005882zbMath0997.81126OpenAlexW2017224485MaRDI QIDQ2783568

Pratul Bandyopadhyay

Publication date: 17 April 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x01005882

zbMATH Keywords

Wess-Zumino termdiscrete space-timePolyakov string theoryconformal dualitymassive fermionthree-dimensional Ising system

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Noncommutative geometry methods in quantum field theory (81T75) Noncommutative geometry in quantum theory (81R60) Methods of noncommutative geometry in general relativity (83C65)

Cites Work

• Non-Abelian bosonization in two dimensions
• SL(2,\({\mathbb{C}})\)-gauge theory, \(N=1\) supergravity and torsion
• A generalization of the non-linear sigma-model to four dimensions
• Reformulation of general relativity as a gauge theory
• Charge quantization and nonintegrable Lie algebras
• Stochastic quantization of a Fermi field: Fermions as solitons
• Topological aspects of a fermion and the chiral anomaly
• Geometrical aspects of skyrmions, reflection group, and the internal symmetry of hadrons

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