Review of AdS/CFT Integrability, Chapter III.3: The Dressing Factor

@article{Vieira2012ReviewOA,
title={Review of AdS/CFT Integrability, Chapter III.3: The Dressing Factor},
author={Pedro Vieira and Dmytro Volin},
journal={Letters in Mathematical Physics},
year={2012},
volume={99},
pages={231-253}
}
• Published 17 December 2010
• Economics
• Letters in Mathematical Physics
We review the construction of the AdS/CFT dressing factor, its analytic properties, and several checks of its validity.
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References

SHOWING 1-10 OF 136 REFERENCES

Review of AdS/CFT Integrability: An Overview

• Economics
• 2012
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Minimal solution of the AdS/CFT crossing equation

We solve explicitly the crossing equation under sufficiently general assumptions on the structure of the dressing phase. We obtain the BES/BHL dressing phase as a minimal solution of the crossing

Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz

The aim of the chapter is to introduce in a pedagogical manner the concept of Thermodynamic Bethe Ansatz designed to calculate the energy levels of finite volume integrable systems and to review how

Review of AdS/CFT Integrability, Chapter I.3: Long-Range Spin Chains

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Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5 × S5

We review the semiclassical analysis of strings in AdS5 × S5 with a focus on the relationship to the underlying integrable structures. We discuss the perturbative calculation of energies for strings

The Four-Loop Dressing Phase of N=4 SYM

• Physics
• 2007
We compute the dilatation generator in the su(2) sector of planar N = 4 super Yang-Mills theory at four-loops. We use the known world-sheet scattering matrix to constrain the structure of the

Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability

• Mathematics
• 2012
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Microscopic formulation of the S-matrix in AdS/CFT

• Physics
• 2007
We develop the derivation we proposed in [37] of the dressing phase of the S-matrix in the AdS/CFT correspondence in the framework of the underlying bare integrable model. We elaborate the