Geometry of Supersymmetric Gauge Theories [electronic resource] : Including an Introduction to BRS Differential Algebras and Anomalies / by Francois Gieres.

Format:

Book

Author/Creator:

Gieres, Francois., Author.

Series:

Lecture Notes in Physics, 0075-8450 ; 302

Language:

English

Subjects (All):

Physics.

Particles (Nuclear physics).

Quantum field theory.

Mathematical Methods in Physics.

Numerical and Computational Physics, Simulation.

Elementary Particles, Quantum Field Theory.

Local Subjects:

Mathematical Methods in Physics.

Numerical and Computational Physics, Simulation.

Elementary Particles, Quantum Field Theory.

Physical Description:

1 online resource (VIII, 191 p.)

Edition:

1st ed. 1988.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

Language Note:

English

Summary:

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:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

ISBN:

3-540-39100-2