We find the exact solution for a finite size Giant Magnon in the SU(2)×SU(2) sector of the string dual of the N = 6 superconformal Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena. The finite size Giant Magnon solution consists of two magnons, one in each SU(2). In the infinite size limit this solution corresponds to the Giant Magnon solution of arXiv:0806.4959. The magnon dispersion relation exhibits finite-size exponential corrections with respect to the infinite size limit solution.

Finite size Giant Magnons in the string dual of N=6 superconformal Chern-Simons theory

GRIGNANI, Gianluca;ORSELLI, MARTA;
2008

Abstract

We find the exact solution for a finite size Giant Magnon in the SU(2)×SU(2) sector of the string dual of the N = 6 superconformal Chern-Simons theory recently constructed by Aharony, Bergman, Jafferis and Maldacena. The finite size Giant Magnon solution consists of two magnons, one in each SU(2). In the infinite size limit this solution corresponds to the Giant Magnon solution of arXiv:0806.4959. The magnon dispersion relation exhibits finite-size exponential corrections with respect to the infinite size limit solution.
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/109448
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