Two-Dimensional Conformal Field Theory and Beyond. Lessons from a Continuing Fashion
Identifieur interne : 001179 ( Main/Exploration ); précédent : 001178; suivant : 001180Two-Dimensional Conformal Field Theory and Beyond. Lessons from a Continuing Fashion
Auteurs : Ivan T. Todorov [Bulgarie]Source :
- Letters in Mathematical Physics [ 0377-9017 ] ; 2001-05-01.
English descriptors
Abstract
Abstract: Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, and the study of (super)string vacua. In the present overview of the subject, we emphasize the role of CFT in bridging the gap between mathematics and quantum field theory and discuss some new physical concepts that emerged in the study of CFT models: anomalous dimensions, rational CFT, braid group statistics. In an aside, at the end of the Letter, we share the misgivings, recently expressed by Penrose, about some dominant trends in fundamental theoretical physics.
Url:
DOI: 10.1023/A:1010882404019
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: Two-dimensional conformal field theory (CFT) has several sources: the search for simple examples of quantum field theory, the description of surface critical phenomena, and the study of (super)string vacua. In the present overview of the subject, we emphasize the role of CFT in bridging the gap between mathematics and quantum field theory and discuss some new physical concepts that emerged in the study of CFT models: anomalous dimensions, rational CFT, braid group statistics. In an aside, at the end of the Letter, we share the misgivings, recently expressed by Penrose, about some dominant trends in fundamental theoretical physics.</div>
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