26 research outputs found
Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
We consider \gamma-deformations of the AdS_5xS^5 superstring as Yang-Baxter
sigma models with classical r-matrices satisfying the classical Yang-Baxter
equation (CYBE). An essential point is that the classical r-matrices are
composed of Cartan generators only and then generate abelian twists. We present
examples of the r-matrices that lead to real \gamma-deformations of the
AdS_5xS^5 superstring. Finally we discuss a possible classification of
integrable deformations and the corresponding gravity solution in terms of
solutions of CYBE. This classification may be called the gravity/CYBE
correspondence.Comment: 18 pages, no figure, LaTeX, v2:references and further clarifications
adde
g-Functions and gluon scattering amplitudes at strong coupling
We study gluon scattering amplitudes/Wilson loops in N=4 super Yang-Mills
theory at strong coupling by calculating the area of the minimal surfaces in
AdS_3 based on the associated thermodynamic Bethe ansatz system. The remainder
function of the amplitudes is computed by evaluating the free energy, the T-
and Y-functions of the homogeneous sine-Gordon model. Using conformal field
theory (CFT) perturbation, we examine the mass corrections to the free energy
around the CFT point corresponding to the regular polygonal Wilson loop. Based
on the equivalence between the T-functions and the g-functions, which measure
the boundary entropy, we calculate corrections to the T- and Y-functions as
well as express them at the CFT point by the modular S-matrix. We evaluate the
remainder function around the CFT point for 8 and 10-point amplitudes
explicitly and compare these analytic expressions with the 2-loop formulas. The
two rescaled remainder functions show very similar power series structures.Comment: 51 pages, 4 figures, v2: some comments and references added, based on
the published version, v3: minor change