# 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} }

We review the construction of the AdS/CFT dressing factor, its analytic properties, and several checks of its validity.

## 65 Citations

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

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We determine the all-loop dressing phases of the AdS3/CFT2 integrable system related to type IIB string theory on AdS3×S×T by solving the recently found crossing relations and studying their…

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

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A thesis submitted to the Faculty of Science, University of the Witwatersrand,
in fulfilment of the requirements for the degree of Doctor of Philosophy.
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### Review of AdS/CFT Integrability, Chapter I.2: The Spectrum from Perturbative Gauge Theory

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We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of $${\mathcal{N}=4}$$ SYM in the planar limit by explicit…

### Review of AdS/CFT Integrability, Chapter III.1: Bethe Ansätze and the R-Matrix Formalism

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## References

SHOWING 1-10 OF 136 REFERENCES

### Review of AdS/CFT Integrability: An Overview

- Economics
- 2012

This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection, we present an overview of the achievements and the status of…

### Minimal solution of the AdS/CFT crossing equation

- Mathematics
- 2009

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

- Mathematics
- 2012

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

- Physics
- 2012

In this contribution, we review long-range integrable spin chains that originate from the recently discovered integrability in the planar AdS/CFT correspondence. We also briefly summarise the theory…

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

- Physics
- 2012

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

We review recent applications of the integrable discrete Hirota dynamics (Y-system) in the context of calculation of the planar AdS/CFT spectrum. We start from the description of solution of Hirota…

### 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…