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A crossing–symmetric phase for AdS5 × S5 strings

Niklas Beisert1,2, Rafael Hernández3 and Esperanza López4

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We propose an all-order perturbative expression for the dressing phase of the AdS5 × S5 string S-matrix at strong coupling. Moreover, we are able to sum up large parts of this expression. This allows us to start the investigation of the analytic structure of the phase at finite coupling revealing a few surprising features. The phase obeys all known constraints including the crossing relation and it matches with the known physical data at strong coupling. In particular, we recover the bound states of giant magnons recently found by Hofman and Maldacena as poles of the scattering matrix. At weak coupling our proposal seems to differ with gauge theory. A possible solution to this disagreement is the inclusion of additional pieces in the phase not contributing to crossing, which we also study.

Keywords

Exact S-Matrix

Integrable Field Theories

AdS-CFT and dS-CFT Correspondence

Sigma Models

 

E-print Number: hep-th/0609044

Cited: by |

Refers: to

PACS

11.55.Bq Analytic properties of S matrix

11.55.Hx Sum rules

11.15.Me Strong-coupling expansions

11.25.Db Properties of perturbation theory

11.10.St Bound and unstable states; Bethe-Salpeter equations

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2006)

Received 27 October 2006, accepted for publication 1 November 2006

Published 24 November 2006



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