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The boundary value problem for the super-Liouville equation
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Jost, Jürgen, Wang, Guofang, Zhou, Chunqin and Zhu, Miaomiao (2013) The boundary value problem for the super-Liouville equation. Annales de l'Institut Henri Poincare (C) Non Linear Analysis , Volume 31 (Number 4). pp. 685-706. doi:10.1016/j.anihpc.2013.06.002 ISSN 0294-1449.
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Official URL: http://dx.doi.org/10.1016/j.anihpc.2013.06.002
Abstract
We study the boundary value problem for the — conformally invariant — super-Liouville functional
that couples a function u and a spinor ψ on a Riemann surface. The boundary condition that we identify (motivated by quantum field theory) couples a Neumann condition for u with a chirality condition for ψ . Associated to any solution of the super-Liouville system is a holomorphic quadratic differential T(z), and when our boundary condition is satisfied, T becomes real on the boundary. We provide a complete regularity and blow-up analysis for solutions of this boundary value problem.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | ||||||||
Publisher: | Elsevier Masson | ||||||||
ISSN: | 0294-1449 | ||||||||
Official Date: | 17 July 2013 | ||||||||
Dates: |
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Volume: | Volume 31 | ||||||||
Number: | Number 4 | ||||||||
Page Range: | pp. 685-706 | ||||||||
DOI: | 10.1016/j.anihpc.2013.06.002 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access |
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