Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS_3
arXiv:1203.3460 · doi:10.1007/JHEP08(2012)105
Abstract
Pohlmeyer reduction has been instrumental both in the program for computing gluon scattering amplitudes at strong coupling, and more recently in the progress towards semiclassical three-point correlators of heavy operators in AdS/CFT. After a detailed review of the method, we combine it with Darboux and Crum transformations in order to obtain a class of string solutions corresponding to an arbitrary number of kinks and breathers of the elliptic sinh-Gordon equation. We also use our construction in order to identify the previously found dressed giant gluon with the single breather solution.
29 pages. v2: references and clarifications added; to appear in JHEP
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- Wilson loops and Riemann theta functions II
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- Minimal area surfaces in AdS_{n+1} and Wilson loops
- Euclidean Wilson loops and Minimal Area Surfaces in Minkowski AdS3
- A short review on TBA equation and scattering amplitude/Wilson loop duality