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Spinning Strings and Correlation Functions in the AdS/CFT Correspondence

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  • © 2018
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Overview

Authors:
  1. Juan Miguel Nieto

    1. Departamento de Física Teórica I, Universidad Complutense de Madrid, Madrid, Spain

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  • Nominated as an outstanding Ph.D. thesis by the Complutense University of Madrid, Madrid, Spain
  • Self-contained and pedagogical treatment
  • Features numerous results on integrability in the context of AdS/CFT correspondence

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

  • 2150 Accesses

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Integrability in the AdS/CFT Correspondence

    • Juan Miguel Nieto
    Pages 1-17
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  3. Integrability on the String Theory Side

    1. Front Matter

      Pages 19-19
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    2. Strings in Coset Spaces

      • Juan Miguel Nieto
      Pages 21-37
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    3. Flux-Deformed Neumann–Rosochatius System

      • Juan Miguel Nieto
      Pages 39-75
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    4. \(\eta \)-Deformed Neumann–Rosochatius System

      • Juan Miguel Nieto
      Pages 77-89
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  4. Integrability on the Field Theory Side. Spin Chains

    1. Front Matter

      Pages 91-91
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    2. Introduction: The Two Bethe Ansätze

      • Juan Miguel Nieto
      Pages 93-121
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    3. Two-Points Functions and ABA

      • Juan Miguel Nieto
      Pages 123-147
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    4. Tailoring and Hexagon Form Factors

      • Juan Miguel Nieto
      Pages 149-170
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  5. Conclusions and Appendices

    1. Front Matter

      Pages 171-171
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    2. Summary and Conclusions

      • Juan Miguel Nieto
      Pages 173-177
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  6. Back Matter

    Pages 179-187
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Keywords

About this book

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.

Authors and Affiliations

  • Departamento de Física Teórica I, Universidad Complutense de Madrid, Madrid, Spain

    Juan Miguel Nieto

About the author

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

  • Book Title: Spinning Strings and Correlation Functions in the AdS/CFT Correspondence

  • Authors: Juan Miguel Nieto

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-96020-3

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-96019-7Published: 31 July 2018

  • Softcover ISBN: 978-3-030-07132-5Published: 03 January 2019

  • eBook ISBN: 978-3-319-96020-3Published: 21 July 2018

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XIII, 187

  • Number of Illustrations: 5 b/w illustrations, 1 illustrations in colour

  • Topics: Quantum Field Theories, String Theory, Mathematical Applications in the Physical Sciences

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