Mathematical Aspects of Superspace
Over the past five years, through a continually increasing wave of activity in the physics community, supergravity has come to be regarded as one of the most promising ways of unifying gravity with other particle interaction as a finite gauge theory to explain the spectrum of elementary particles. C...
Other Authors: | , , |
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Format: | eBook |
Language: | English |
Published: |
Dordrecht
Springer Netherlands
1984, 1984
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Edition: | 1st ed. 1984 |
Series: | Nato Science Series C:, Mathematical and Physical Sciences
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Subjects: | |
Online Access: | |
Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Non-linear Realization of Supersymmetry
- 1. Introduction
- 2. The Akulov-Volkov field
- 3. Superfields
- 4. Standard fields
- 5. N > 1/N = 1
- 6. N = 1 supergravity
- References
- Fields, Fibre Bundles and Gauge Groups
- 1. Manifolds
- 2. Fibre bundles
- 3. Gauge Groups
- 4. Space-Time
- Path Integration on Manifolds
- 1. Introduction
- 2. Gaussian measures, cylinder set measures, and the Feynman-Kac formula
- 3. Feynman path integrals
- 4. Path integration on Riemannian manifolds
- 5. Gauge invariant equations; diffusion and differential forms
- Acknowledgements, References
- Graded Manifolds and Supermanifolds
- Preface and cautionary note
- 0. Standard notation
- 1. The category GM
- 2. The geometric approach
- 3. Comparisons
- 4. Lie supergroups
- Table: “All I know about supermanifolds”
- References
- Aspects of the Geometrical Approach to Supermanifolds
- 1. Abstract
- 2. Building superspace over an arbitrary spacetime
- 3. Super Lie groups
- 4. Compact supermanifolds with non-Abelian fundamental group
- 5. Developments and applications
- References
- Integration on Supermanifolds
- 1. Introduction
- 2. Standard integration theory
- 3. Integration over odd variables
- 4. Superforms
- 5. Integration on Er,s
- 6. Integration on supermanifolds
- References
- Remarks on Batchelor’s Theorem
- Classical Supergravity
- 1. Definition of classical supergravity
- 2. Dynamical analysis of classical field theories
- 3. Formal dynamical analysis of classical supergravity
- 4. The exterior algebra formulation of classical supergravity
- 5. Does classical supergravity make sense?
- Appendix: Notations and conventions
- References
- List of participants