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The Resource Harmonic superspace, A.S. Galperin [and others]

Harmonic superspace, A.S. Galperin [and others]

Contributor
Summary
This is a pedagogical introduction to the harmonic superspace method in extended supersymmetry. Inspired by exciting developments in superstring theory, it provides a systematic treatment of the quantum field theories with N=2 and N=3 supersymmetry in harmonic superspace. The authors present the harmonic superspace approach as a means of providing an off-shell description of the N=2 supersymmetric theories, both at the classical and quantum levels. Furthermore, they show how it offers a unique way to construct an off-shell formulation of a theory with higher supersymmetry, namely the N=3 supersymmetric Yang-Mills theory. Harmonic Superspace makes manifest many remarkable geometric properties of the N=2 theories, for example, the one-to-one correspondence between N=2 supersymmetric matter, and hyper-Kähler and quaternionic manifolds. This book will be of interest to researchers and graduate students working in the areas of supersymmetric quantum field theory, string theory and complex geometries
Language
eng
Work
Publication
Extent
1 online resource (xiv, 306 pages)
Contents
  • Dealing with the sphere S[superscript 2]
  • Comparison with the standard harmonic analysis
  • Why harmonic superspace helps
  • N = 2 supersymmetric theories
  • N = 2 matter hypermultiplet
  • N = 2 Yang-Mills theory
  • N = 2 supergravity
  • N = 3 Yang-Mills theory
  • Harmonics and twistors. Self-duality equations
  • Elements of supersymmetry
  • Brief motivations
  • Poincare and conformal symmetries
  • Poincare group
  • Conformal group
  • Two-component spinor notation
  • Poincare and conformal superalgebras
  • N = 1 Poincare superalgebra
  • Extended supersymmetry
  • Conformal supersymmetry
  • Central charges from higher dimensions
  • Representations of Poincare supersymmetry
  • Spaces and superspaces
  • Representations of the Poincare group
  • Poincare superalgebra representations. Massive case
  • Poincare superalgebra representations. Massless case
  • Representations with central charge
  • Realizations of supersymmetry on fields. Auxiliary fields
  • N = 1 matter multiplet
  • N = 1 gauge multiplet
  • Auxiliary fields and extended supersymmetry
  • Superspace
  • Coset space generalities
  • Chirality as a kind of Grassmann analyticity
  • Coset spaces for the Poincare and super Poincare groups
  • N = 2 harmonic superspace
  • Harmonic variables
  • Harmonic covariant derivatives
  • N = 2 superspace with central charge coordinates
  • N = 1 chiral superfields
  • Auxiliary fields
  • Why standard superspace is not adequate for N = 2 supersymmetry
  • Search for conceivable superspaces (spaces)
  • N = 2 harmonic superspace
Isbn
9780511041457
Instance
Label
Harmonic superspace
Title
Harmonic superspace
Statement of responsibility
A.S. Galperin [and others]
Contributor
Subject
Genre
Language
eng
Summary
This is a pedagogical introduction to the harmonic superspace method in extended supersymmetry. Inspired by exciting developments in superstring theory, it provides a systematic treatment of the quantum field theories with N=2 and N=3 supersymmetry in harmonic superspace. The authors present the harmonic superspace approach as a means of providing an off-shell description of the N=2 supersymmetric theories, both at the classical and quantum levels. Furthermore, they show how it offers a unique way to construct an off-shell formulation of a theory with higher supersymmetry, namely the N=3 supersymmetric Yang-Mills theory. Harmonic Superspace makes manifest many remarkable geometric properties of the N=2 theories, for example, the one-to-one correspondence between N=2 supersymmetric matter, and hyper-Kähler and quaternionic manifolds. This book will be of interest to researchers and graduate students working in the areas of supersymmetric quantum field theory, string theory and complex geometries
Member of
Cataloging source
N$T
Dewey number
539.7/25
Index
index present
LC call number
QC174.17.S9
LC item number
H37 2001eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1954-
http://library.link/vocab/relatedWorkOrContributorName
Galperin, A. S.
Series statement
Cambridge monographs on mathematical physics
http://library.link/vocab/subjectName
  • Supersymmetry
  • SCIENCE
  • SCIENCE
  • Supersymmetry
  • Supersymétrie
  • Espaces harmoniques
Label
Harmonic superspace, A.S. Galperin [and others]
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Dealing with the sphere S[superscript 2]
  • Comparison with the standard harmonic analysis
  • Why harmonic superspace helps
  • N = 2 supersymmetric theories
  • N = 2 matter hypermultiplet
  • N = 2 Yang-Mills theory
  • N = 2 supergravity
  • N = 3 Yang-Mills theory
  • Harmonics and twistors. Self-duality equations
  • Elements of supersymmetry
  • Brief motivations
  • Poincare and conformal symmetries
  • Poincare group
  • Conformal group
  • Two-component spinor notation
  • Poincare and conformal superalgebras
  • N = 1 Poincare superalgebra
  • Extended supersymmetry
  • Conformal supersymmetry
  • Central charges from higher dimensions
  • Representations of Poincare supersymmetry
  • Spaces and superspaces
  • Representations of the Poincare group
  • Poincare superalgebra representations. Massive case
  • Poincare superalgebra representations. Massless case
  • Representations with central charge
  • Realizations of supersymmetry on fields. Auxiliary fields
  • N = 1 matter multiplet
  • N = 1 gauge multiplet
  • Auxiliary fields and extended supersymmetry
  • Superspace
  • Coset space generalities
  • Chirality as a kind of Grassmann analyticity
  • Coset spaces for the Poincare and super Poincare groups
  • N = 2 harmonic superspace
  • Harmonic variables
  • Harmonic covariant derivatives
  • N = 2 superspace with central charge coordinates
  • N = 1 chiral superfields
  • Auxiliary fields
  • Why standard superspace is not adequate for N = 2 supersymmetry
  • Search for conceivable superspaces (spaces)
  • N = 2 harmonic superspace
Control code
56130575
Dimensions
unknown
Extent
1 online resource (xiv, 306 pages)
File format
unknown
Form of item
online
Isbn
9780511041457
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)56130575
Label
Harmonic superspace, A.S. Galperin [and others]
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Dealing with the sphere S[superscript 2]
  • Comparison with the standard harmonic analysis
  • Why harmonic superspace helps
  • N = 2 supersymmetric theories
  • N = 2 matter hypermultiplet
  • N = 2 Yang-Mills theory
  • N = 2 supergravity
  • N = 3 Yang-Mills theory
  • Harmonics and twistors. Self-duality equations
  • Elements of supersymmetry
  • Brief motivations
  • Poincare and conformal symmetries
  • Poincare group
  • Conformal group
  • Two-component spinor notation
  • Poincare and conformal superalgebras
  • N = 1 Poincare superalgebra
  • Extended supersymmetry
  • Conformal supersymmetry
  • Central charges from higher dimensions
  • Representations of Poincare supersymmetry
  • Spaces and superspaces
  • Representations of the Poincare group
  • Poincare superalgebra representations. Massive case
  • Poincare superalgebra representations. Massless case
  • Representations with central charge
  • Realizations of supersymmetry on fields. Auxiliary fields
  • N = 1 matter multiplet
  • N = 1 gauge multiplet
  • Auxiliary fields and extended supersymmetry
  • Superspace
  • Coset space generalities
  • Chirality as a kind of Grassmann analyticity
  • Coset spaces for the Poincare and super Poincare groups
  • N = 2 harmonic superspace
  • Harmonic variables
  • Harmonic covariant derivatives
  • N = 2 superspace with central charge coordinates
  • N = 1 chiral superfields
  • Auxiliary fields
  • Why standard superspace is not adequate for N = 2 supersymmetry
  • Search for conceivable superspaces (spaces)
  • N = 2 harmonic superspace
Control code
56130575
Dimensions
unknown
Extent
1 online resource (xiv, 306 pages)
File format
unknown
Form of item
online
Isbn
9780511041457
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)56130575

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