Pohlmeyer reduction and Darboux transformations in Euclidean worldsheet AdS3

A bstract 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/CF T . After a detailed review of the method, we combine it...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2012; no. 8
Main Author Papathanasiou, Georgios
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 22.08.2012
Springer Nature B.V
Subjects
Breathers
Classical and Quantum Gravitation
Correlators
Elementary Particles
Gluons
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Reduction
Relativity Theory
String Theory
AdSCFT Correspondence
Integrable Equations in Physics
Solitons Monopoles and Instantons
Bosonic Strings
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Summary:A bstract 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/CF T . 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.
ISSN:1029-8479
DOI:10.1007/JHEP08(2012)105