Some comments on spacelike minimal surfaces with null polygonal boundaries in AdS(m)
Oct, 200914 pages
Published in:
- JHEP 02 (2010) 013
e-Print:
- 0910.0934 [hep-th]
Report number:
- HU-EP-09-47
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Abstract: (arXiv)
We discuss some geometrical issues related to spacelike minimal surfaces in with null polygonal boundaries at conformal infinity. In particular for , two holomorphic input functions for the Pohlmeyer reduced system are identified. This system contains two coupled differential equations for two functions and , related to curvature and torsion of the surface. Furthermore, we conjecture that, for a polynomial choice of the two holomorphic functions, the relative positions of their zeros encode the conformal invariant data of the boundary null -gon.Note:
- 13 pages
- AdS-CFT Correspondence
- Differential and Algebraic Geometry
- anti-de Sitter
- any-dimensional
- boundary condition
- geometry
- holomorphic
- torsion
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