In the fall of 1981 the Centro de Estudios Nucleares of the Universidad Nacional Aut6noma de Mexico organized an International School of Supersymmetry which took place in Mexico City from Dec. 14 to Dec. 18. The purpose of this School was to provide both students and researchers with an introduction to Supersymmetry as weIl as an overview of current research topics. A general introduction to the subject was given by Dr. Freedman while Dr. Grisaru discussed the superspace formulation of Supersym metry and Supergravity. Applications of these ideas to Particle Physics were discussed by Dr. Ferrara and Dr. Witten. Finally, Dr. Bars presented the basic framework for the discussion of Supersym metries in Nuclear Physics. We would like to take this opportunity to thank our lecturers for their enthusiastic participation in the School. The collaboration of Dr. Marcos Rosenbaum, Director of the Centro de Estudios Nucleares, and of all our colleagues in the Physics Department is also gratefully acknowledged. We also thank Mrs. Ma. Esther Colmenares for her careful typing of the manuscript and also for her unlimited patience in making all the necessary corrections. The help of Mr. Jose Rangel with symbols and figures is also deeply appreciated.

Main section headings: Ideas and Problems in Quantum Gravity; On Ellipticity and Quantum Gravity; Non-Local Boundary Data in Quantum Gravity; Non-Locality and Ellipticity for Gauge Theories; New Kernels in Quantum Gravity; Quantum Gravity from First Principles; Quantum Gravity and Spectral Geometry; Bibliography; Index.

This volume comprises the contributions to the proceedings of Deserfest OCo a festschrift in honor of Stanley Deser. Many of Stanley Deser''s colleagues and longtime collaborators, including Richard Arnowitt and Charles Misner of OC ADMOCO fame, contribute insighted article. Ranging from lower dimensional gravity theories all the way to supergravity in eleven dimensions and M-theory, the papers highlight the wide impact that Deser has had in the field. Contents: Some Results in M-Theory Inspired Phenomenology (R Arnowitt et al.); A Non-Geometric Approach to 11-Dimensional Supergravity (L Brink); Generalized Holonomy in M-Theory (A Batrachenko et al.); Electric-Magnetic Duality in Gravity (M Henneaux & C Teitelboim); R 4 Terms in Supergravity and M-Theory (P Howe); Marriage of 4-Dimensional Gravity to the 3-Dimensional Chern-Simons Term (R Jackiw); Some Applications of the ADM Formalism (J E Nelson); The Main Postulates and Results of Loop Quantum Gravity (L Smolin); Milne and Torus Universes Meet (A Waldron); Diquarks as Inspiration and as Objects (F Wilczek); and other papers. Readership: Researchers in the field of high energy physics, gravitation and supersymmetry."

This 1982 book contains selected contributions presented at the Nuffield Quantum Gravity Workshop held at Imperial College, London, in August 1981.

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.