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Supersymmetric Field Theories
Geometric Structures and Dualities

  • Author: Sergio Cecotti, Scuola Internazionale Superiore di Studi Avanzati, Trieste
  • Date Published: January 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107053816

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  • Adopting an elegant geometrical approach, this advanced pedagogical text describes deep and intuitive methods for understanding the subtle logic of supersymmetry while avoiding lengthy computations. The book describes how complex results and formulae obtained using other approaches can be significantly simplified when translated to a geometric setting. Introductory chapters describe geometric structures in field theory in the general case, while detailed later chapters address specific structures such as parallel tensor fields, G-structures, and isometry groups. The relationship between structures in supergravity and periodic maps of algebraic manifolds, Kodaira–Spencer theory, modularity, and the arithmetic properties of supergravity are also addressed. Relevant geometric concepts are introduced and described in detail, providing a self-contained toolkit of useful techniques, formulae and constructions. Covering all the material necessary for the application of supersymmetric field theories to fundamental physical questions, this is an outstanding resource for graduate students and researchers in theoretical physics.

    • Covers the arithmetic aspects of super gravity, topology and the relations between holonomy and isometry
    • Places supergravity within a broad theoretical context
    • Builds up relevant geometric concepts from scratch
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    Product details

    • Date Published: January 2015
    • format: Hardback
    • isbn: 9781107053816
    • length: 424 pages
    • dimensions: 253 x 180 x 22 mm
    • weight: 0.98kg
    • availability: Available
  • Table of Contents

    Part I. How Geometry Arises:
    1. Geometrical structures in (Q)FT
    2. Extended supersymmetry in diverse dimensions
    Part II. Geometry and Extended Susy:
    3. Parallel structures and holonomy
    4. Susy/sugra Lagrangians and U-duality
    5. σ-models and symmetric spaces
    6. Killing spinors and rigid susy in curved spaces
    7. Parallel structures and isometries
    8. Gauging and potential terms
    Part III. Special Geometries:
    9. Kähler and Hodge manifolds
    10. N=1 supergravity in 4D
    11. Flag manifolds. Variations of Hodge structures
    12. Four-dimensional N=2 supergravity.

  • Author

    Sergio Cecotti, Scuola Internazionale Superiore di Studi Avanzati, Trieste
    Sergio Cecotti is an Associate Professor at Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste.

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