Higher loop Bethe ansatz for open spin-chains in AdS/CFT

@article{Okamura2006HigherLB,
  title={Higher loop Bethe ansatz for open spin-chains in AdS/CFT},
  author={Keisuke Okamura and Kentaroh Yoshida},
  journal={Journal of High Energy Physics},
  year={2006},
  volume={2006},
  pages={081-081}
}
We propose a perturbative asymptotic Bethe ansatz (PABA) for open spin-chain systems whose Hamiltonians are given by matrices of anomalous dimension for composite operators, and apply it to two types of composite operators related to two different brane configurations. One is an AdS4 ? S2-brane in the bulk AdS5 ? S5 which gives rise to a defect conformal field theory (dCFT) in the dual field theory, and the other is a giant graviton system with an open string excitation. In both cases… 
View PDF on arXiv
36 Citations
Highly Influential Citations
1
Background Citations
14
Methods Citations
2
Results Citations
1

Figures from this paper

36 Citations

Classical open string integrability

We present a simple procedure to construct non-local conserved charges for classical open strings on coset spaces. This is done by including suitable reflection matrices on the classical transfer…

A study of open strings ending on giant gravitons, spin chains and integrability

We systematically study the spectrum of open strings attached to half BPS giant gravitons in the N = 4 SYM AdS/CFT setup. We find that some null trajectories along the giant graviton are actually…

Small deformations of supersymmetric Wilson loops and open spin-chains

We study insertions of composite operators into Wilson loops in = 4 supersymmetric Yang-Mills theory in four dimensions. The loops follow a circular or straight path and the composite insertions…

String Theory on Five Dimensional Anti de Sitter Space-Times: Fundamental Aspects and Applications

In this thesis we study basic properties and applications of String Theory on AdS5 backgrounds. We do this in the framework of the AdS/CFT Correspondence and use our results to learn about four…

Open spin chains in super Yang-Mills at higher loops: some potential problems with integrability

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied…

Bethe ansatz equations for open spin chains from giant gravitons

We investigate the open spin chain describing the scalar sector of the Y = 0 giant graviton brane at weak coupling. We provide a direct proof of integrability in the SU(2) and SU(3) sectors by…

Aspects of Integrability in AdS/CFT Duality

In this dissertation, we discuss how our understanding of the large-N spectrum of AdS/CFT has been deepened by integrability-based approaches. We begin with a comprehensive review of the…

Dilatation operator and the Super Yang-Mills duals of open strings on AdS giant gravitons

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and…

Integrable spin chain of superconformal U(M) × $\overline{\mathop{\rm U}(N)}$ Chern-Simons theory

= 6 superconformal Chern-Simons theory with gauge group U(M) × is dual to N M2-branes and (M−N) fractional M2-branes, equivalently, discrete 3-form holonomy at 4/k orbifold singularity. We show that,…

Giant Gravitons - with Strings Attached (II)

Abstract: We study the one-loop anomalous dimensions of operators in the N = 4 super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants…

References

SHOWING 1-10 OF 72 REFERENCES

Open spinning strings and AdS/dCFT duality

We consider open spinning string solutions on an AdS4 ? S2-brane (D5-brane) in the bulk AdS5 ? S5 background. By taking account of the breaking of SO(6)R to SO(3)H ? SO(3)V due to the presence of the…

Open string integrability and AdS/CFT

A toy model for the AdS/CFT correspondence

We study the large-N gauged quantum mecchanics for a single hermitean matrix in the Harmonic oscillator potential well as a toy model for the AdS/CFT correspondence. We argue that the dual geometry…

Integrable open spin chain in super Yang-Mills and the plane-wave/SYM duality

We investigate the integrable structures in an = 2 superconformal Sp(N) Yang-Mills theory with matter, which is dual to an open+closed string system. We restrict ourselves to the BMN operators that…

A study of open strings ending on giant gravitons, spin chains and integrability

We systematically study the spectrum of open strings attached to half BPS giant gravitons in the N = 4 SYM AdS/CFT setup. We find that some null trajectories along the giant graviton are actually…

Bethe ansatz for quantum strings

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)…

Integrable open spin chains and the doubling trick in Script N = 2 SYM with fundamental matter

We demonstrate that the one-loop anomalous dimension matrix in = 2 SYM with a single chiral hypermultiplet of fundamental matter, which is dual to AdS5 × S5 with a D7-brane filling AdS5 and wrapped…

Open semiclassical strings and long defect operators in AdS/dCFT correspondence

We consider defect composite operators in a defect superconformal field theory obtained by inserting an AdS{sub 4}xS{sup 2}-brane in the AdS{sub 5}xS{sup 5} background. The one-loop dilatation…

Open spin chains in super Yang-Mills at higher loops: some potential problems with integrability

The super Yang-Mills duals of open strings attached to maximal giant gravitons are studied in perturbation theory. It is shown that non-BPS baryonic excitations of the gauge theory can be studied…

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

...