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  • © 2007

Frontiers in Number Theory, Physics, and Geometry II

On Conformal Field Theories, Discrete Groups and Renormalization

  • very distinguished international list of authors including Alain Connes, a Fields Medallist ...

  • Cutting-edge research in well-written expository form

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-XXVIII
  2. Conformal Field Theories for Strings and Branes

    1. Front Matter

      Pages I-XXVIII
    2. The Dilogarithm Function

      • Don Zagier
      Pages 3-65
    3. Tracks, Lie's, and Exceptional Magic

      • Predrag Cvitanović
      Pages 133-160
    4. Gauge Theories from D Branes

      • Paolo Di Vecchia, Antonella Liccardo
      Pages 161-222
  3. Discrete Groups and Automorphic Forms

    1. Front Matter

      Pages I-XXVIII
    2. An Introduction to Arithmetic Groups

      • Christophe Soulé
      Pages 247-276
    3. Automorphic Forms: A Physicist's Survey

      • Boris Pioline, Andrew Waldron
      Pages 277-302
    4. Strings and Arithmetic

      • Gregory Moore
      Pages 303-359
    5. Replicable Functions: An Introduction

      • John McKay, Abdellah Sebbar
      Pages 373-386
  4. Hopf Algebras and Renormalization

    1. Front Matter

      Pages I-XXVIII
    2. A Primer of Hopf Algebras

      • Pierre Cartier
      Pages 537-615
    3. Algebraic Algorithms in Perturbative Calculations

      • Stefan Weinzierl
      Pages 737-757
    4. Multiple Logarithms, Algebraic Cycles and Trees

      • H. Gangl, A.B. Goncharov, A. Levin
      Pages 759-774

Editors and Affiliations

  • I.H.E.S., Bures-sur-Yvette, France

    Pierre Cartier

  • Service de Physique Théorique, CEA/Saclay, Gif-sur-Yvette, France

    Pierre Moussa, Pierre Vanhove

  • LPTENS, Paris, France

    Bernard Julia

Bibliographic Information

  • Book Title: Frontiers in Number Theory, Physics, and Geometry II

  • Book Subtitle: On Conformal Field Theories, Discrete Groups and Renormalization

  • Editors: Pierre Cartier, Pierre Moussa, Bernard Julia, Pierre Vanhove

  • DOI: https://doi.org/10.1007/978-3-540-30308-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Hardcover ISBN: 978-3-540-30307-7Published: 06 December 2006

  • Softcover ISBN: 978-3-642-06776-1Published: 12 February 2010

  • eBook ISBN: 978-3-540-30308-4Published: 18 July 2007

  • Edition Number: 1

  • Number of Pages: XXVIII, 789

  • Number of Illustrations: 23 b/w illustrations

  • Topics: Number Theory, Algebraic Geometry, Theoretical, Mathematical and Computational Physics

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access