Knots, topology and quantum field theories

Conference · Sun Jan 01 04:00:00 EST 1989

OSTI ID:5736317

Lusanna, L ^[1]

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1. Florence Univ. (Italy)

The title of the workshop, Knots, Topology and Quantum Field Theory, accurate reflected the topics discussed. There have been important developments in mathematical and quantum field theory in the past few years, which had a large impact on physicist thinking. It is historically unusual and pleasing that these developments are taking place as a result of an intense interaction between mathematical physicists and mathematician. On the one hand, topological concepts and methods are playing an increasingly important lead to novel mathematical concepts: for instance, the study of quantum groups open a new chapter in the deformation theory of Lie algebras. These developments at present will lead to new insights into the theory of elementary particles and their interactions. In essence, the talks dealt with three, broadly defined areas of theoretical physics. One was topological quantum field theories, the other the problem of quantum groups and the third one certain aspects of more traditional field theories, such as, for instance, quantum gravity. These topics, however, are interrelated and the general theme of the workshop defies rigid classification; this was evident from the cross references to be found in almo all the talks.

• OSTI ID: 5736317
• Report Number(s): CONF-8906373--; ISBN: 981-02-0126-5
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ABSTRACTS
CLASSIFICATION
CONFORMAL INVARIANCE
DOCUMENT TYPES
FIELD THEORIES
HIGH ENERGY PHYSICS
INVARIANCE PRINCIPLES
LEADING ABSTRACT
LECTURES
LIE GROUPS
MATHEMATICS
MECHANICS
MEETINGS
PHYSICS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
STATISTICAL MECHANICS
SYMMETRY GROUPS
TOPOLOGY