832 citations
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Showing 2004 · math.DGShow all
2 papers · 2 filters
math.DG2004
Dirac-Harmonic Maps
Qun Chen, Juergen Jost, Jiayu Li +1
We introduce a functional that couples the nonlinear sigma model with a spinor field: $L=\int_M[|dϕ|^2+(ψ,\Dψ)]$. In two dimensions, it is conformally invariant. The critical point…
math.DG2004★ 1 cited
Geometry and analysis of spin equations
Huijun Fan, Tyler J. Jarvis, Yongbin Ruan
We introduce W-spin structures on a Riemann surface and give a precise definition to the corresponding W-spin equations for any quasi-homogeneous polynomial W. Then, we construct e…