TY - BOOK AU - Cecotti,Sergio TI - Supersymmetric field theories: geometric structures and dualities SN - 9781107053816 U1 - 539.725 23 PY - 2015/// CY - Cambridge PB - Cambridge University Press, KW - Supersymmetry KW - Geometrical constructions KW - Duality (Nuclear physics) KW - Duality theory (Mathematics) N1 - 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 N2 - 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 ER -