Massless $Ad{S}_2$ scattering and Bethe ansatz

Abstract

We first analyse the integrable scattering theory describing the massless excitations of $Ad{S}_2\times S^2\times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured exact expression, and compared with known S-matrices with N=1 supersymmetry. A dressing factor, yet unknown for the complete theory, is here constructed based on relativistic crossing symmetry. We derive a Bethe-ansatz condition by employing a transfer-matrix technique based on the so-called free-fermion condition. This is known to overcome the problem of lack of a reference state. We then generalise the method to the massless non-relativistic case, and compare the resulting Bethe-ansatz condition with a simple massless limit of the one conjectured by Sorokin, Tseytlin, Wulff and Zarembo.

14 pages, LaTeX, 1 diagram; version to appear in JHEP

References in corpus (18)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• On the Hopf algebra structure of the AdS/CFT S-matrix
• Holographic Description of AdS_2 Black Holes
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Towards integrability for AdS3/CFT2
• The magnon kinematics of the AdS/CFT correspondence
• Lectures on the Bethe Ansatz
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• A 2d/1d Holographic Duality
• q-Deformed Supersymmetry and Dynamic Magnon Representations
• Exact finite size spectrum in super sine-Gordon model
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Massless sector of AdS_3 superstrings: a geometric interpretation
• All symmetric AdS(n>2) solutions of type II supergravity

Cited by in corpus (3)

• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Lie Algebra Expansion and Integrability in Superstring Sigma-Models
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance