Space-like minimal surfaces in AdS x S
Dec, 2009
28 pages
Published in:
- JHEP 04 (2010) 004
e-Print:
- 0912.3829 [hep-th]
Report number:
- HU-EP-09-65
View in:
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Abstract: (arXiv)
We present a four parameter family of classical string solutions in AdS_3 x S^3, which end along a light-like tetragon at the boundary of AdS_3 and carry angular momentum along two cycles on the sphere. The string surfaces are space-like and their projections on AdS_3 and on S^3 have constant mean curvature. The construction is based on the Pohlmeyer reduction of the related sigma model. After embedding in AdS_5 x S^5, we calculate the regularized area and analyze conserved charges. Comments on possible relations to scattering amplitudes are presented. We also sketch time-like versions of our solutions.Note:
- v3: 30 pages, reference added, minor changes
- AdS-CFT Correspondence
- Bosonic Strings
- Integrable Field Theories
- charge: conservation law
- surface: minimal
- anti-de Sitter
- string
- scattering amplitude
- angular momentum
- AdS(3) x S(3)
References(24)
Figures(19)