Geometry of Supersymmetric Gauge Theories

Including an Introduction to BRS Differential Algebras and Anomalies

Francois Gieres (Autor)

Buch | Softcover

VIII, 191 Seiten

2014 | 1. Softcover reprint of the original 1st ed. 1988
Springer Berlin (Verlag)
978-3-662-13677-5 (ISBN)

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This monograph gives a detailed and pedagogical account of the geometry of rigid superspace and supersymmetric Yang-Mills theories. While the core of the text is concerned with the classical theory, the quantization and anomaly problem are briefly discussed following a comprehensive introduction to BRS differential algebras and their field theoretical applications. Among the treated topics are invariant forms and vector fields on superspace, the matrix-representation of the super-Poincaré group, invariant connections on reductive homogeneous spaces and the supermetric approach. Various aspects of the subject are discussed for the first time in textbook and are consistently presented in a unified geometric formalism. Requiring essentially no background on supersymmetry and only a basic knowledge of differential geometry, this text will serve as a mathematically lucid introduction to supersymmetric gauge theories.

Contents: The Canonical Geometric Structure of Rigid Superspace and Susy Transformations.- The General Structure of Sym-Theories.- Classical Sym-Theories in the Gauge Real Representation.- BRS-Differential Algebras in Sym-Theories.- Geometry of Extended Supersymmetry.- Appendices: Superspace Conventions and Notations (for N=1, d=4). Complex (and Hermitean) Conjugation in Simple Supersymmetry. Complex Conjugation in N=2 Supersymmetry. Geometric Interpretation of the Canonical Linear Connection on Reductive Homogeneous Spaces. Koszul's Formula (BRS Cohomology). On the Description of Anticommuting Spinors in Ordinary and Supersymmetric Field Theories.- References.- Subject Index.

Erscheint lt. Verlag	23.8.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	VIII, 191 p.
Verlagsort	Berlin
Sprache	englisch
Maße	170 x 244 mm
Gewicht	354 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
	Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Algebra • Differential Geometry • Fields • Gauge Theories • Geometry • Invariant • Quantization • Structure • superspace • Supersymmetry • symmetry • Vector field
ISBN-10	3-662-13677-5 / 3662136775
ISBN-13	978-3-662-13677-5 / 9783662136775
Zustand	Neuware