An Action variable of the sine-Gordon model
TLDR
In this paper, it was conjectured that the classical bosonic string in AdS times a sphere has a special action variable which corresponds to the length of the operator on the field theory side.About:
This article is published in Journal of Geometry and Physics.The article was published on 2006-12-01 and is currently open access. It has received 74 citations till now. The article focuses on the topics: String field theory & Non-critical string theory.read more
Citations
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Giant Magnons
Diego M. Hofman,Juan Maldacena +1 more
TL;DR: In this article, it was shown that the dispersion relation is periodic in the momentum of the magnons and that the symmetries that determine this relation are the same in the gauge theory and the string theory.
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A Crossing-Symmetric Phase for AdS5 x S5 Strings
TL;DR: In this paper, an all-order perturbative expression for the dressing phase of the S-matrix at strong coupling was proposed, which is able to sum up large parts of this expression.
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Finite-size effects from giant magnons
TL;DR: In this paper, a one-soliton solution for the gauge-fixed string sigma model on AdS 5 × S 5 was constructed, which is a generalisation of the one-magnon configuration of Hofman and Maldacena.
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Dyonic giant magnons
TL;DR: In this article, the authors studied the classical spectrum of string theory on AdS5? S5 in the Hofman-Maldacena limit and found a family of classical solutions corresponding to giant magnons with two independent angular momenta on S5.
References
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Hamiltonian methods in the theory of solitons
L. D. Faddeev,Leon A. Takhtajan +1 more
TL;DR: The Nonlinear Schrodinger Equation (NS Model) and Zero Curvature Representation (ZCR) as discussed by the authors have been used for the classification and analysis of Integrable Evolution Equations.
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The Bethe-Ansatz for N=4 Super Yang-Mills
TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in N = 4 super Yang-Mills, which can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites.
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The Bethe-ansatz for Script N = 4 super Yang-Mills
TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in = 4 super Yang-Mills and showed that this matrix can be identified with the hamiltonian of an integrable SO(6) spin chain with vector sites.
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Hidden symmetries of the AdS(5) x S**5 superstring
TL;DR: For the Green-Schwarz superstring, this article showed that the world sheet theory may be exactly solvable in the presence of nonlocal classically conserved charges of the type that exist in integrable field theories.
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Integrable Hamiltonian systems and interactions through quadratic constraints
TL;DR: In this article, the relativistic field theories in one time and one space dimension with interactions that are entirely due to quadratic constraints are shown to be closely related to integrable Hamiltonian systems.