The supersymmetric sigma model, topological quantum mechanics and knot invariants

DOI10.1016/0393-0440(90)90014-TzbMath0726.53061OpenAlexW2006622035MaRDI QIDQ803980

J. Mateos Guilarte

Publication date: 1990

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(90)90014-t

zbMATH Keywords

diffeomorphismssymplectic manifoldcomplex manifoldssupersymmetric nonlinear sigma modelLefschetz formulatopological quantum mechanicsliquid crystal materialStochastic quantizationWitten-Jones invariants of knot theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Applications of global differential geometry to the sciences (53C80) Morse-Smale systems (37D15)

Related Items (5)

COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION ⋮ Semi-classical limit of the bottom of spectrum of a Schrödinger operator on a path space over a compact Riemannian manifold ⋮ Stochastic Wess-Zumino-Witten model over a symplectic manifold ⋮ WITTEN LAPLACIAN ON PINNED PATH GROUP AND ITS EXPECTED SEMICLASSICAL BEHAVIOR ⋮ Sphalerons and instantons in two-dimensional field theory

Cites Work

• Dynamical breaking of supersymmetry
• Ground state structure in supersymmetric quantum mechanics
• Topological quantum field theories
• Non-Abelian bosonization in two dimensions
• Quantization of symplectic orbits of compact Lie groups by means of the functional integral
• String theory and loop space index theorems
• Cohomology of symplectomorphism groups and critical values of Hamiltonians
• A priori estimates for \(N=2\) Wess-Zumino models on a cylinder
• Witten's complex and infinite dimensional Morse theory
• The partition function of degenerate quadratic functional and Ray-Singer invariants
• R-torsion and the Laplacian on Riemannian manifolds
• Morse inequalities for a dynamical system
• Spectral asymmetry and Riemannian geometry. III
• Supersymmetry and the Atiyah-Singer index theorem
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