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String Field Theory

A Modern Introduction

Authors:

  • An essential text to get acquainted with string field theory
  • Pedagogical primer suitable for a one-semester course
  • Contains many examples, exercises and computations

Part of the book series: Lecture Notes in Physics (LNP, volume 980)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xvii
  2. Introduction

    • Harold Erbin
    Pages 1-25
  3. Worldsheet Theory

    1. Front Matter

      Pages 27-27
    2. Conformal Symmetry in D Dimensions

      • Harold Erbin
      Pages 101-104
    3. Conformal Field Theory on the Plane

      • Harold Erbin
      Pages 105-141
    4. CFT Systems

      • Harold Erbin
      Pages 143-180
    5. BRST Quantization

      • Harold Erbin
      Pages 181-202
  4. String Field Theory

    1. Front Matter

      Pages 203-203
    2. String Field

      • Harold Erbin
      Pages 205-209
    3. Free BRST String Field Theory

      • Harold Erbin
      Pages 211-234
    4. Introduction to Off-Shell String Theory

      • Harold Erbin
      Pages 235-249
    5. Off-Shell Amplitudes

      • Harold Erbin
      Pages 269-283
    6. Closed String Field Theory

      • Harold Erbin
      Pages 309-325
    7. Background Independence

      • Harold Erbin
      Pages 327-337
    8. Superstring

      • Harold Erbin
      Pages 339-360

About this book

This textbook provides an introduction to string field theory (SFT). String theory is usually formulated in the worldsheet formalism, which describes a single string (first-quantization). While this approach is intuitive and could be pushed far due to the exceptional properties of two-dimensional theories, it becomes cumbersome for some questions or even fails at a more fundamental level. These motivations have led to the development of SFT, a description of string theory using the field theory formalism (second-quantization). As a field theory, SFT provides a rigorous and constructive formulation of string theory.

The main focus of the book is the construction of the closed bosonic SFT. The accent is put on providing the reader with the foundations, conceptual understanding and intuition of what SFT is. After reading this book, the reader is able to study the applications from the literature. The book is organized in two parts. The first part reviews the notions of the worldsheet theory that are necessary to build SFT (worldsheet path integral, CFT and BRST quantization). The second part starts by introducing general concepts of SFT from the BRST quantization. Then, it introduces off-shell string amplitudes before providing a Feynman diagrams interpretation from which the building blocks of SFT are extracted. After constructing the closed SFT, the author outlines the proofs of several important properties such as background independence, unitarity and crossing symmetry. Finally, the generalization to the superstring is also discussed.

Reviews

“The book under review offers a comprehensive self-contained description of string field theory (SFT) and the tools necessary to build it. … For each chapter the author has collected the most relevant references. This, together with various examples, figures, remarks and, especially, a suitable amount of details, has produced a compulsively readable textbook quite useful for students and newcomers. … The last version of the draft of the book can be accessed on the author's professional web page.” (Farhang Loran, Mathematical Reviews, April, 2022)

Authors and Affiliations

  • Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, USA

    Harold Erbin

About the author

Harold Erbin obtained his PhD in theoretical physics from Pierre et Marie Curie, Paris 6 University. Afterwards, he held postdoctoral positions at the Harish-Chandra Research Institute (Allahabad/Prayagraj), where he learned string field theory with Ashoke Sen, Ludwig-Maximilians-Universität (Munich) and Università di Torino. 

He is currently a Marie Skłodowska-Curie fellow at MIT (Boston) and CEA-LIST (Paris). Beside string field theory, his contributions include works on black holes and supergravity, two-dimensional gravity, tensor models and applications of machine learning to theoretical physics.

Bibliographic Information

  • Book Title: String Field Theory

  • Book Subtitle: A Modern Introduction

  • Authors: Harold Erbin

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/978-3-030-65321-7

  • Publisher: Springer Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2021

  • Softcover ISBN: 978-3-030-65320-0Published: 27 March 2021

  • eBook ISBN: 978-3-030-65321-7Published: 26 March 2021

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XVII, 421

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Quantum Field Theories, String Theory, Mathematical Physics

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access