The Resource A Mathematical Introduction to Conformal Field Theory, by M. Schottenloher, (electronic resource)

A Mathematical Introduction to Conformal Field Theory, by M. Schottenloher, (electronic resource)

Label
A Mathematical Introduction to Conformal Field Theory
Title
A Mathematical Introduction to Conformal Field Theory
Statement of responsibility
by M. Schottenloher
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of two-dimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface. The substantially revised and enlarged second edition makes in particular the second part of the book more self-contained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with most recent developments has also been added
Member of
http://library.link/vocab/creatorName
Schottenloher, M
Image bit depth
0
LC call number
QC5.53
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Physics,
Series volume
759
http://library.link/vocab/subjectName
  • Physics
  • Algebra
  • Global analysis
  • Mathematical physics
  • Quantum theory
  • Physics
  • Mathematical Methods in Physics
  • Global Analysis and Analysis on Manifolds
  • Elementary Particles, Quantum Field Theory
  • Algebra
  • Physics beyond the Standard Model
Label
A Mathematical Introduction to Conformal Field Theory, by M. Schottenloher, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Mathematical Preliminaries -- Conformal Transformations and Conformal Killing Fields -- The Conformal Group -- Central Extensions of Groups -- Central Extensions of Lie Algebras and Bargmann’s Theorem -- The Virasoro Algebra -- First Steps Toward Conformal Field Theory -- Representation Theory of the Virasoro Algebra -- String Theory as a Conformal Field Theory -- Axioms of Relativistic Quantum Field Theory -- Foundations of Two-Dimensional Conformal Quantum Field Theory -- Vertex Algebras -- Mathematical Aspects of the Verlinde Formula -- Appendix A
Dimensions
unknown
Edition
2.
Extent
XV, 249 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540686286
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-540-68628-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-68628-6
Label
A Mathematical Introduction to Conformal Field Theory, by M. Schottenloher, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Mathematical Preliminaries -- Conformal Transformations and Conformal Killing Fields -- The Conformal Group -- Central Extensions of Groups -- Central Extensions of Lie Algebras and Bargmann’s Theorem -- The Virasoro Algebra -- First Steps Toward Conformal Field Theory -- Representation Theory of the Virasoro Algebra -- String Theory as a Conformal Field Theory -- Axioms of Relativistic Quantum Field Theory -- Foundations of Two-Dimensional Conformal Quantum Field Theory -- Vertex Algebras -- Mathematical Aspects of the Verlinde Formula -- Appendix A
Dimensions
unknown
Edition
2.
Extent
XV, 249 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540686286
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-540-68628-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-68628-6

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