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MiS Preprint

Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case

Miaomiao Zhu


We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show the so-called generalized energy identity in the case that the domain converges to a spin surface with only Neveu-Schwarz type nodes. We find condition that is both necessary and sufficient for the $W^{1,2} \times L^{4}$ modulo bubbles compactness of a sequence of such maps.

MSC Codes:
58J05, 53C27
Dirac-harmonic maps, generalized energy identity, Neveu-Schwarz

Related publications

2009 Journal Open Access
Miaomiao Zhu

Dirac-harmonic maps from degenerating spin surfaces Pt. 1 : The Neveu-Schwarz case

In: Calculus of variations and partial differential equations, 35 (2009) 2, pp. 169-189