431 Citations
The SU(2) Long Range Bethe Ansatz and Continuous Integrable Systems
- Mathematics
- 2006
We explore the relationship between the SU(2) sector of a general integrable field theory and the all-loop guess for the anomalous dimensions of SU(2) operators in N=4 super Yang-Mills theory. We…
Bethe Ansatz solutions for highest states in Script N = 4 SYM and AdS/CFT duality
- Mathematics, Physics
- 2006
We consider the operators with highest anomalous dimension Δ in the compact rank-one sectors (1|1) and (2) of = 4 super Yang-Mills. We study the flow of Δ from weak to strong 't Hooft coupling λ by…
The Analytic Bethe Ansatz for a Chain with Centrally Extended su ( 2 | 2 ) Symmetry
- Physics, Mathematics
- 2006
We investigate the integrable structure of spin chain models with centrally extended su(2|2) and psu(2, 2|4) symmetry. These chains have their origin in the planar AdS/CFT correspondence, but they…
Two-loop test of the N = 6 Chern-Simons theory S-matrix
- Physics
- 2009
Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar = 6 superconformal Chern-Simons theory of ABJM, we perform a direct…
Bethe Ansatz solutions for highest states in = 4 SYM and AdS/CFT duality
- Mathematics, Physics
- 2007
: We consider the operators with highest anomalous dimension ∆ in the compact rank-one sectors su (1 | 1) and su (2) of N = 4 super Yang-Mills. We study the flow of ∆ from weak to strong ’t Hooft…
Integrable spin chain in superconformal Chern-Simons theory
- Physics
- 2008
N = 6 superconformal Chern-Simons theory was proposed as gauge theory dual to Type IIA string theory on AdS4 ⊗ CP 3 . We study integrability of the theory from conformal dimension spectrum of single…
Finite size corrections and integrability of = 2 SYM and DLCQ strings on a pp-wave
- Physics, Mathematics
- 2006
: We compute the planar flnite size corrections to the spectrum of the dilatation operator acting on two-impurity states of a certain limit of conformal N = 2 quiver gauge fleld theory which is a Z M…
Reconstructing 1/2 BPS space-time metrics from matrix models and spin chains
- Physics, Mathematics
- 2007
Using the anti-de Sitter/conformal field theories (AdS/CFT) correspondence, we address the question of how to measure complicated space-time metrics using gauge theory probes. In particular, we…
Complete 1-loop test of AdS/CFT
- Physics
- 2007
We analyze nested Bethe ansatz (NBA) and the corresponding finite size corrections. We find an integral equation which describes these corrections in a closed form. As an application we considered…
References
SHOWING 1-10 OF 104 REFERENCES
A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
- Physics
- 2004
We probe the long-range spin chain approach to planar N = 4 gauge theory at high loop order. A recently employed hyperbolic spin chain invented by Inozemtsev is suitable for the su(2) subsector of…
Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain
- Physics
- 2004
We investigate whether the (planar, two complex scalar) dilatation operator of N = 4 gauge theory can be, perturbatively and, perhaps, non-perturbatively, described by an integrable long range spin…
The su ( 2 | 3 ) Dynamic Spin Chain
- Physics
- 2003
The complete one-loop, planar dilatation operator of the N = 4 supercon-formal gauge theory was recently derived and shown to be integrable. Here, we present further compelling evidence for a…
Bethe ansatz for quantum strings
- Physics, Mathematics
- 2004
We propose Bethe equations for the diagonalization of the Hamiltonian of quantum strings on AdS5 ×S 5 at large string tension and restricted to certain large charge states from a closed su(2)…
The Bethe-ansatz for N = 4 super Yang-Mills
- Mathematics, Physics
- 2002
We derive the one loop mixing matrix for anomalous dimensions in N=4 Super Yang-Mills. We show that this matrix can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector…
The factorized S-matrix of CFT/AdS
- Mathematics
- 2004
We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that,…