A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills

@article{Beisert2004ANL,
  title={A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills},
  author={Niklas Beisert and V. Dippel and Matthias Staudacher},
  journal={Journal of High Energy Physics},
  year={2004},
  volume={2004},
  pages={075-075}
}
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 the state space up to three loops, but ceases to exhibit the conjectured thermodynamic scaling properties at higher orders. We indicate how this may be bypassed while nevertheless preserving integrability, and suggest the corresponding all-loop asymptotic Bethe ansatz. We also propose the local part… 

Tables from this paper

Long-range psu(2,2|4) Bethe Ansatze for gauge theory and strings

Long-range deformations for integrable spin chains

We present a recursion relation for the explicit construction of integrable spin chain Hamiltonians with long-range interactions. Based on arbitrary short-range (e.g. nearest neighbor) integrable

Strong coupling anomalous dimensions of Script N = 4 super Yang-Mills

We study the strong coupling behaviour of fixed length single trace operators in the scalar SU(2) sector of = 4 SYM. We assume the recently proposed connection with a twisted half-filled Hubbard

Strong coupling anomalous dimensions of N = 4 super

We study the strong coupling behaviour of fixed length single trace operators in the scalar SU(2) sector of N = 4 SYM. We assume the recently proposed connection with a twisted half-filled Hubbard

Integrable Spin Chains on the Conformal Moose

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar

Integrable spin chain in superconformal Chern-Simons theory

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

Reconstructing 1/2 BPS space-time metrics from matrix models and spin chains

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

Spinning Strings and Integrable Spin Chains in the AdS/CFT Correspondence

  • J. Plefka
  • Physics
    Living reviews in relativity
  • 2005
It is argued that semiclassical string energies yield information on the quantum spectrum of the string in the limit of large angular momenta on the S5, leading to an asymptotic all-loop conjecture for the gauge theory Bethe equations.

The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability

...

References

SHOWING 1-10 OF 66 REFERENCES

Planar N=4 Gauge Theory and the Inozemtsev Long Range Spin Chain

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

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

The su(2|3) dynamic spin chain

The Bethe-ansatz for N = 4 super Yang-Mills

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

Matching Higher Conserved Charges for Strings and Spins

We demonstrate that the recently found agreement between one-loop scaling dimensions of large dimension operators in N = 4 gauge theory and energies of spinning strings on AdS5 × S 5 extends to the
...