Scattering in AdS(2)/CFT(1) and the BES Phase

Abstract

We study worldsheet scattering for the type IIA superstring in AdS(2) x S(2) x T(6). Using the Green--Schwarz action to quartic order in fermions we take the near-BMN limit, where as in the AdS(3)/CFT(2) case there are both massive and massless excitations. For the massive excitations we compute all possible tree-level processes, and show that these agree with a truncated version of the exact AdS(5) x S(5) S-matrix. We also compute several S-matrix elements involving massless excitations. At one loop we find that the dressing phase is the same Hernandes-Lopez phase appearing in AdS(5)/CFT(4). We see the same phase when calculating this by semiclassical means using the PSU(1,1|2)/U(1)^2 coset sigma model, for which we can also study the scattering of fermions. This supports the conjecture that the all-loop dressing phase is again the BES phase, rather than a new phase like that seen in AdS(3)/CFT(2).

21 pages. v2 corrects one sign error; version to appear in JHEP

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• Quantum corrections to the string Bethe ansatz
• The Bethe ansatz for superconformal Chern-Simons
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• Quantum corrections to spinning superstrings in AdS_3 x S^3 x M^4: determining the dressing phase
• S-matrix for magnons in the D1-D5 system
• World-sheet scattering in AdS_5 x S^5 at two loops
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• Quantum Scattering of Giant Magnons

Cited by in corpus (17)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• The one-loop worldsheet S-matrix for the AdS(n) x S(n) x T(10-2n) superstring
• Superisometries and integrability of superstrings
• $Ad{S}_3/CF{T}_2$, finite-gap equations and massless modes
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• Macroscopic (and Microscopic) Massless Modes
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• The AdS(n) x S(n) x T(10-2n) BMN string at two loops
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• The S-matrix algebra of the AdS2 X S2 superstring
• Massless $Ad{S}_2$ scattering and Bethe ansatz
• On the scattering of gluons in the GKP string
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• Geometry of Massless Scattering in Integrable Superstring
• Minisuperspace quantization of bubbling AdS${}_2\times$S${}^2$ geometries
• A study of integrable form factors in massless relativistic $Ad{S}_2$