Complex Differential Geometry and Supermanifolds in Strings and Fields
This volume deals with one of the most active fields of research in mathematical physics: the use of geometric and topological methods in field theory. The emphasis in these proceedings is on complex differential geometry, in particular on Kähler manifold
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P.J.M. Bongaarts R. Martini (Eds.)
Complex DifferentialGeometry and Supermanifoids in Strings and Fields Proceedings of the Seventh Scheveningen Conference, Scheveningen, The Netherlands, August 23-28, 1987 IIIIIIIIIIII
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Springer-Verlag Berlin Heidelberg NewYork London Paris Tokyo
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Editors R J. M. Bongaarts Lorentz Institute, University of Leiden NL-2311 SB Leiden, The Netherlands R. Martini Faculty of Applied Mathematics, University of Twente P.O. Box 217, NL-?500 AE Enschede, The Netherlands
ISBN 3-540-50324-2 Springer-Verlag Berlin Heidelberg NewYork ISBN 0-387-50324-2 Springer-Vertag NewYork Berlin Heidelberg
This work is subject to copyright. All rights are reserved,whether the whole or part of the material is concerned, specificallythe rights of translation,reprinting, re-use of illustrat!ons,recitation, broadcasting, reproduction on microfilmsor in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisionsof the German Copyright Law of September 9, 1965, in its version of June24, 1985, and a copyright fee must always be paid. Violationsfall under the prosecution act of the German Copyright Law. © Springer-VerlagBerlin Heidelberg 1988 Printed in Germany Printing: Druckhaus Beltz, Hemsbach/Bergstr. Binding: J. Sch~,fferGmbH & Co. KG., GrSnstadt 2158/3140-543210
PREFACE The present volume contains the notes of lectures delivered at the seventh Scheveningen Conference held at Scheveningen, the Netherlands, August 23-28, 1987.
The
conference
E.M. de
Jager
was
organized by
(University
of
P.J.M. Bongaarts
Amsterdam),
(University
H. Lemei
(Delft
of
Leiden),
University
of
Technology), R. Martini (University of Twente) and was financially supported by the Koninklijke Nederlandse Akademie van Wetenschappen.
This conference is the seventh in a series of meetings that started in 1973. All of these meetings have been centered around a few main topics of related interest
and
have
been
partly
instructional
in
character,
in
order
to
stimulate further research. The last three conferences were devoted to aspects of differential geometry in mathematical physics, and this trend was continued in the present meeting.
More
specifically,
the emphasis was
this
time on
complex differential geometry (Kahler manifolds), super and graded manifolds, and
their
applications
to
supersymmetry,
strings
and
field
theory.
The
contributions in this volume can accordingly be divided roughly into:
i. K~hler manifolds in field theory: M. Forger, J. Wess. 2. Supersymmetry, superspace and graded manifolds: M. Batchelor, A. Rogers and P. Bryant, P.D. Jarvis. 3. String theory: D.G. Caldi, N. Sanchez.
The collection of lectures as a whole showed a remarkable unity of content and approach. The division into three subjects has therefore only an approximate value,
as
may
be
clear
from
the
list
of
contents.
For
instance
KAhler
manifolds were also of importance in Caldi's le
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