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© 2018

Spinning Strings and Correlation Functions in the AdS/CFT Correspondence

Book
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Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Juan Miguel Nieto
    Pages 1-17
  3. Integrability on the String Theory Side

    1. Front Matter
      Pages 19-19
    2. Juan Miguel Nieto
      Pages 21-37
    3. Juan Miguel Nieto
      Pages 39-75
    4. Juan Miguel Nieto
      Pages 77-89
  4. Integrability on the Field Theory Side. Spin Chains

    1. Front Matter
      Pages 91-91
    2. Juan Miguel Nieto
      Pages 93-121
    3. Juan Miguel Nieto
      Pages 123-147
    4. Juan Miguel Nieto
      Pages 149-170
  5. Conclusions and Appendices

    1. Front Matter
      Pages 171-171
    2. Juan Miguel Nieto
      Pages 173-177
  6. Back Matter
    Pages 179-187

About this book

Introduction

This book addresses several aspects of the integrable structure of the AdS/CFT correspondence. In particular it presents computations made on both sides of the AdS/CFT correspondence, at weak and at strong coupling. On the string theory side of the correspondence, the book focuses on the evaluation of the energy spectrum of closed string solutions moving in some deformed backgrounds that preserve integrability. On the gauge theory side, it explores various formal problems arising in the computation of two and three-point functions by means of the Algebraic Bethe Ansatz and the Quantum Inverse Scattering method.
 
The book features numerous results on integrability in the context of the AdS/CFT correspondence. Self-contained and pedagogical, it includes general discussions and detailed presentations on the use of integrable systems techniques and their applications.

Keywords

AdS/CFT Correspondence String Theory Conformal Field Theory Algebraic Bethe Ansatz Method Quantum Inverse Scattering Method Closed String Solutions Integrability in AdS/CFT Neumann-Rosochatius System

Authors and affiliations

  1. 1.Departamento de Física Teórica IUniversidad Complutense de MadridMadridSpain

About the authors

The author graduated from the Universidad Autónoma de Madrid, where he also received his Master in Theoretical Physics. After that he moved to the Universidad Complutense de Madrid, where he worked on his Ph.D. with Rafael Hernandez. During this time he visited the Institute de Physique Théorique at Saclay (France), where he collaborated with Ivan Kostov and Didina Serban.

Bibliographic information