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Mathematical Aspects of Superspace

  • H.-J. Seifert
  • C. J. S. Clarke
  • A. Rosenblum

Part of the NATO ASI Series book series (ASIC, volume 132)

Table of contents

  1. Front Matter
    Pages i-xii
  2. C. J. S. Clarke
    Pages 15-45
  3. K. D. Elworthy
    Pages 47-89
  4. Majorie Batchelor
    Pages 91-133
  5. Alice Rogers
    Pages 149-160
  6. Robert J. Blattner, John H. Rawnsley
    Pages 161-171
  7. James Isenberg, David Bao, Philip B. Yasskin
    Pages 173-205
  8. Back Matter
    Pages 207-214

About this book

Introduction

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. Concurrently im­ portant mathematical works on the arena of supergravity has taken place, starting with Kostant's theory of graded manifolds and continuing with Batchelor's work linking this with the superspace formalism. There remains, however, a gap between the mathematical and physical approaches expressed by such unanswered questions as, does there exist a superspace having all the properties that physicists require of it? Does it make sense to perform path­ integral in such a space? It is hoped that these proceedings will begin a dialogue between mathematicians and physicists on such questions as the plan of renormalisation in supergravity. The contributors to the proceedings consist both of mathe­ maticians and relativists who bring their experience in differen­ tial geometry, classical gravitation and algebra and also quantum field theorists specialized in supersymmetry and supergravity. One of the most important problems associated with super­ symmetry is its relationship to the elementary particle spectrum.

Keywords

Algebra Gauge theory Schrödinger equation geometry transformation

Editors and affiliations

  • H.-J. Seifert
    • 1
  • C. J. S. Clarke
    • 2
  • A. Rosenblum
    • 3
  1. 1.Hochschule der Bundeswehr HamburgHamburgGermany
  2. 2.University of YorkYorkUK
  3. 3.Temple UniversityPhiladelphiaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-6446-4
  • Copyright Information Springer Science+Business Media B.V. 1984
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-009-6448-8
  • Online ISBN 978-94-009-6446-4
  • Series Print ISSN 1389-2185
  • Buy this book on publisher's site
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