Energy quantization for a nonlinear sigma model with critical gravitinos

DOI10.1090/btran/36zbMath1423.53078arXiv1702.03526OpenAlexW2588633541WikidataQ127772823 ScholiaQ127772823MaRDI QIDQ4966645

Miaomiao Zhu, Ruijun Wu, Juergen Jost

Publication date: 27 June 2019

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03526

zbMATH Keywords

nonlinear sigma modelenergy identitygravitinoPohozaev identitysupercurrentDirac harmonic map

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (3)

The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds ⋮ A spin-perturbation for minimal surfaces ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model

Cites Work

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• The functional of super Riemann surfaces -- a ``semi-classical survey
• Regularity at the free boundary for Dirac-harmonic maps from surfaces
• Energy estimates for the supersymmetric nonlinear sigma model and applications
• No neck for Dirac-harmonic maps
• Bubble tree convergence for harmonic maps
• Dirac-harmonic maps
• Energy identities for Dirac-harmonic maps
• Dirac-harmonic maps from degenerating spin surfaces. I: The Neveu-Schwarz case
• The existence of minimal immersions of 2-spheres
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Elliptic partial differential equations of second order
• Super Riemann surfaces, metrics and gravitinos
• Regularity of solutions of the nonlinear sigma model with gravitino
• Symmetries and conservation laws of a nonlinear sigma model with gravitino
• Harmonic spinors
• Energy identity for a class of approximate harmonic maps from surfaces
• The boundary value problem for Dirac-harmonic maps
• Some aspects of Dirac-harmonic maps with curvature term
• Regularity for weakly Dirac-harmonic maps to hypersurfaces
• Nonlinear Dirac equations on Riemann surfaces
• Regularity theorems and energy identities for Dirac-harmonic maps
• Liouville theorems for Dirac-harmonic maps
• Geometry and Physics
• Regularity of Dirac-Harmonic Maps
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• Riemannian geometry and geometric analysis

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