The boundary value problem for the super-Liouville equation
The boundary value problem for the super-Liouville equation
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DOI：
10.1016/j.anihpc.2013.06.002
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发表时间：
2014-07
影响因子：
1.9
通讯作者：
J. Jost;Guofang Wang;Chunqin Zhou;Miaomiao Zhu
中科院分区：
文献类型：
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作者：
J. Jost;Guofang Wang;Chunqin Zhou;Miaomiao Zhu
在黎曼曲面上耦合函数u和旋量ψ的dz。我们确定的边界条件(由量子场论驱动)将u的Neumann条件和ψ的手性条件耦合在一起。与超Liouville系统的任何解相关的是全纯二次微分T(Z)，当我们的边界条件满足时，T在边界上是实的。我们为这个边值问题的解提供了一个完整的正则性和爆破分析。
dz 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.© 2013 Published by Elsevier Masson SAS.