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Microscopic formulation of the S-matrix in AdS/CFT

Kazuhiro Sakai1 and Yuji Satoh2

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We develop the derivation we proposed in [37] of the dressing phase of the S-matrix in the AdS/CFT correspondence in the framework of the underlying bare integrable model. We elaborate the configuration of the Bethe roots describing the physical vacuum, which consists of a long Bethe string stretched along the imaginary axis and stacks distributed along the real axis. We determine the distribution of all Bethe roots in the thermodynamic limit. We then directly compute the scattering phase of the fundamental excitations over the physical vacuum and reproduce the BHL/BES dressing phase.

Keywords

Exact S-Matrix

AdS-CFT and dS-CFT Correspondence

Bethe Ansatz

 

E-print Number: 0709.3342

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

Subjects

Particle physics and field theory

Dates

Issue 12 (December 2007)

Received 2 October 2007, accepted for publication 3 December 2007

Published 12 December 2007



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