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Supersymmetric field theories : geometric structures and dualities / Sergio Cecotti.

By: Material type: TextTextPublication details: Cambridge : Cambridge University Press, 2015.Description: xii, 410 p. ; 26 cmISBN:
  • 9781107053816
Subject(s): DDC classification:
  • 539.725 23 C388
Contents:
1. Geometrical structures in (Q)FT -- 2. Extended supersymmetry in diverse dimensions -- 3. Parallel structures and holonomy -- 4. SUSY/SUGRA Lagrangians and U-duality -- 5. O-models and symmetric spaces -- 6. Killing spinors and rigid SUSY in curved spaces -- 7. Parallel structures and isometries -- 8. Gauging and potential terms -- 9. Kahler and Hodge manifolds -- 10. N = 1 supergravity in 4D -- 11. Flag manifolds. Variations of Hodge structures -- 12. Four-dimensional N = 2 supergravity -- Appendix: G. Structures on manifolds.
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 539.725 C388 (Browse shelf(Opens below)) Available 137166
Total holds: 0

Includes bibliographical references and index.

1. Geometrical structures in (Q)FT --
2. Extended supersymmetry in diverse dimensions --
3. Parallel structures and holonomy --
4. SUSY/SUGRA Lagrangians and U-duality --
5. O-models and symmetric spaces --
6. Killing spinors and rigid SUSY in curved spaces --
7. Parallel structures and isometries --
8. Gauging and potential terms --
9. Kahler and Hodge manifolds --
10. N = 1 supergravity in 4D --
11. Flag manifolds. Variations of Hodge structures --
12. Four-dimensional N = 2 supergravity --
Appendix: G. Structures on manifolds.

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.

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