Dirac-harmonic maps

By Qun Chen, Jürgen Jost, Jiayu Li, Guofang Wang. 2004

136 citations recorded by the source corpus.

We introduce a functional that couples the nonlinear sigma model with a spinor field: In two dimensions, it is conformally invariant. The critical points of this functional are called Dirac-harmonic maps. We study some geometric and analytic aspects of such maps, in particular a removable singularity theorem.

Subfields: Applied Mathematics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/279109c1e3888e76d90681120dd0097c714986d9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Bayram Sahin
2. E. Humbert
3. Bernd Ammann
4. Qun Chen
5. Guofang Wang
6. Jürgen Jost
7. Siraj Uddin
8. Bang‐Yen Chen

In Mathematical Physics

1. Bayram Sahin
2. E. Humbert
3. Bernd Ammann
4. Guofang Wang
5. Qun Chen
6. Jürgen Jost
7. Y. Yang

In Nuclear and High Energy Physics

1. Bayram Sahin
2. Guofang Wang

Citations in the corpus

• A spinorial analogue of Aubin’s inequality (2003, background): “Although considerable progress was achieved recently (see [ 11 ] and otherarticles by the same authors), many interesting questions remain open, e.g.efficient criteria for the existence of solutions on generic manifolds.”
• Conformal Riemannian Maps between Riemannian Manifolds, Their Harmonicity and Decomposition Theorems (2010, methodology): “The supersymmetric version of this non-linear σ -problem was obtained an extension of the concept of harmonic maps, the so-called Dirac-harmonic maps that couple the map with a nonlinear spinor field while preserving the essential structural properties of harmonic maps, [7, 8].”
• Nonlinear Dirac equations on Riemann surfaces (2007, methodology): “For the analysis of the equation (1.2), we use k k L4, instead of k∇ k L4 3, as the energy functional of , since the former is strong enough to get various estimates in most cases, as one can see in [ 4 ] and [5].”