Energy estimates for the supersymmetric nonlinear sigma model and applications

DOI10.1007/s11118-016-9564-zzbMath1353.81089arXiv1506.06973OpenAlexW3100116292WikidataQ55670578 ScholiaQ55670578MaRDI QIDQ345038

Volker Branding

Publication date: 25 November 2016

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06973

zbMATH Keywords

gradient estimates\(\varepsilon\)-regularity theoremDirac-harmonic mapsnonlinear supersymmetric sigma model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Semilinear elliptic equations (35J61)

Related Items

A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions, Dirac-harmonic maps with potential, Coarse regularity of solutions to a nonlinear sigma-model with \(L^p\) gravitino, Regularity of solutions of the nonlinear sigma model with gravitino, Energy methods for Dirac-type equations in two-dimensional Minkowski space, Nonlinear Dirac equations, monotonicity formulas and Liouville theorems, Harmonic maps with torsion, Global existence of Dirac-wave maps with curvature term on expanding spacetimes, Energy quantization for a nonlinear sigma model with critical gravitinos, On the evolution of regularized Dirac-harmonic maps from closed surfaces, On the multiple existence of superquadratic Dirac-harmonic maps into flat tori

Cites Work

• Unnamed Item
• Unnamed Item
• Dirac-harmonic maps from index theory
• Gradient estimates and Liouville theorems for Dirac-harmonic maps
• Function theory on manifolds which possess a pole
• Dirac-harmonic maps
• Dirac-geodesics and their heat flows
• The evolution equations for regularized Dirac-geodesics
• The maximum principle and the Dirichlet problem for Dirac-harmonic maps
• The boundary value problem for Dirac-harmonic maps
• Magnetic Dirac-harmonic maps
• On the evolution of regularized Dirac-harmonic maps from closed surfaces
• Some aspects of Dirac-harmonic maps with curvature term
• Nonlinear Dirac equations on Riemann surfaces
• Regularity theorems and energy identities for Dirac-harmonic maps
• Dirac-harmonic maps with torsion
• Decay estimates for Rivière’s equation, with applications to regularity and compactness
• A remark on nonlinear Dirac equations
• Liouville theorems for Dirac-harmonic maps
• Regularity of Dirac-Harmonic Maps
• Harmonic Maps of small Energy
• On the Liouville Theorem for Harmonic Maps