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Harmonic Superspace

Harmonic Superspace

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"Harmonic Superspace" by A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

Here is the first pedagogical introduction to harmonic superspace in extended supersymmetry by the scientists who developed the method. Inspired by 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.

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Best For: Advanced physics students and researchers interested in supersymmetry and quantum field theory.
Focus: A systematic introduction to harmonic superspace methods in extended supersymmetry, particularly for N=2 and N=3 cases.
Covers: The development and application of harmonic superspace to provide off-shell descriptions of N=2 supersymmetric theories, inspired by superstring theory.
Why It Matters: It offers a foundational pedagogical resource authored by the method's developers, facilitating deeper understanding of complex supersymmetric quantum field theories.

"Harmonic Superspace" by A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev is a mathematics book and learning resource focused on Cosmology. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Cosmology

Author: A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Here is the first pedagogical introduction to harmonic superspace in extended supersymmetry by the scientists who developed the method. Inspired by 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.

AuthorA. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, E. S. Sokatchev
PublisherCambridge University Press
Published2001-09-27
ISBN-139780521801645
BindingHardcover
Pages320
LanguageEnglish
SubjectsScience
TopicCosmology
SeriesCambridge Monographs on Mathematical Physics

Format: Hardcover

Length: 320 pages

Language: English

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