A Crossing-Symmetric Phase for AdS5 x S5 Strings

By N. Beisert, R. Hernández, Esperanza Lopez. 2006

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We propose an all-order perturbative expression for the dressing phase of the AdS5 × S 5 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dbae0cc00c296cabe14a10e3dc73c8d19e95ebbd

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Citations in the corpus

Superstrings on AdS4 × ℂℙ3 as a coset sigma-model (2008, background): “he string S-matrix undetermined by symmetries, e.g. the dressing phase [19]. In the AdS5×S5 case the dressing phase satisﬁes the crossing symmetry equation [20], which essentially determines its form [21]. It would be also interesting to understand constraints on the AdS4 × CP3 scattering matrix imp”
The Bethe ansatz for superconformal Chern-Simons (2008, background): “dressing factors in [ 12 ,11] might need to be modified since the string action still contains an overall factor of √ λ.”
Strong-coupling expansion of cusp anomaly from quantum superstring (2007, background): “Indeed, while the expressions for the tree-level [19] and the 1-loop [20, 21] terms in the strong-coupling expansion for the phase where essentially put into the Bethe ansatz expression from the known string theory results, the higher order terms in the phase where conjectured in [17] using the cros”
Quantum spectral curve for arbitrary state/operator in AdS5/CFT4 (2014, background): “Finally, let us give an explicit form of the function σ by relating it to the dressing phase of Beisert-Eden-Staudacher [22, 41].”
Four loop twist two, BFKL, wrapping and strings (2008, methodology): “The S-matrix for elementary excitations has been predicted from the symmetry algebra up to the overall scalar factor [8] which was finally fixed in [9, 10] using the crossing symmetry [11].”
Logarithmic corrections to higher twist scaling at strong coupling from AdS/CFT (2006, methodology): “Thus the coefficient of the lnS term is encoded as a limit of the full string 1-loop correction determined from the string Bethe ansatz [25, 13, 21] by the BDS [12] part as well as by the 1-loop phase of [26, 27].”