Last edited by Sarr
Thursday, May 14, 2020 | History

4 edition of Harmonic Superspace (Cambridge Monographs on Mathematical Physics) found in the catalog.

Harmonic Superspace (Cambridge Monographs on Mathematical Physics)

by A. S. Galperin

  • 266 Want to read
  • 38 Currently reading

Published by Cambridge University Press .
Written in English

    Subjects:
  • Particle & high-energy physics,
  • Physics,
  • General,
  • Science,
  • Science/Mathematics,
  • Nuclear Physics,
  • Mathematics : General,
  • Science / Mathematical Physics,
  • Science / Nuclear Physics,
  • Science : Physics,
  • Supersymmetry,
  • Supersymmetry Supersymmetry,
  • Mathematical Physics

  • The Physical Object
    FormatPaperback
    Number of Pages320
    ID Numbers
    Open LibraryOL7713712M
    ISBN 100521020425
    ISBN 109780521020428

    The N = 1 complex supersymmetric algebra is studied using the harmonic techniques. The massless representations and the classification of their field content in terms of SU(2) n-uplets is superspace formulation is developed and Cited by: 3. The main aim of this thesis is to study superspaces using methods from harmonic and Cli fford analysis. This means that we have to construct a set of operators, such as a Laplace and a Dirac operator, acting on functions depending on both commuting and anti-commuting variables. We will show that, using proper definitions of such operators, several results of harmonic and Cliff ord .

    Projective harmonic superspace has been introduced in. Harmonic superspace for hypermultiplets and with central charges was discussed in [9], with references to earlier work cited therein. The application to the AdS/CFT correspondence is studied in [10], and some developments of N =4 harmonic superspace for SYM can be found in [11] and in [12].Cited by: Harmonic Superspace (Cambridge Monographs on Mathematical Physics) by A. S. Galperin; V. I. Ogievetsky; E. S. Sokatchev ISBN ISBN

    After studying this book readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity. Spend a moment from your computer, open the Ideas and Methods of Supersymmetry and Supergravity, Or a Walk Through Superspace book, and rebuild your soul a bit. Get special knowledge after reading this book. and di erentiability properties of functions, [19] and Harmonic analysis [20] and the book of Stein and Weiss, Fourier analysis on Euclidean spaces [21]. The monograph of Loukas Grafakos, Classical and modern Fourier analysis [8] provides an excellent treatment of the Fourier analysis in the rst half of these notes.


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Harmonic Superspace (Cambridge Monographs on Mathematical Physics) by A. S. Galperin Download PDF EPUB FB2

'Harmonic Superspace is the first Harmonic Superspace book, outside of the confines of the research literature, to present pedagogically the intricacies of its topic. This is a unique book.' Physics Today ' it deserves Harmonic Superspace book place in every theoretical physics and mathematics library.

Inspired by exciting developments in superstring theory, this book provides the first pedagogical and comprehensive introduction to the harmonic superspace method in extended supersymmetry.

The authors (credited with inventing the technique) are recognised as world experts on the subject and present a clear account of its formalism and Format: Hardcover. 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, by Alexander Galperin, Evgeny Ivanov, Victor Ogievetsky, and Emery Sokatchev is the first discussion, outside of the confines of the research literature, to present pedagogically the intricacies of its is a unique book.

Preface; 1. Introductory overview; 2. Elements of supersymmetry; 3. Superspace; 4. Harmonic analysis; 5. N=2 matter with infinite sets of auxiliary fields; 6. N=2 matter multiplets with a finite number of auxiliary fields.

N=2 duality transformations; 7. Supersymmetric Yang-Mills theories; 8. Harmonic supergraphs; 9. Conformal invariance in N=2 harmonic superspace. 3 Superspace 44 Coset space generalities 44 Coset spaces for the Poincare and super Poincar´ ´e groups 46 N = 2 harmonic superspace 50 Harmonic variables 54 Harmonic covariant derivatives 58 N = 2 superspace with central charge coordinates 60 Reality properties 61 Harmonics as square roots of quaternions Harmonic Superspace by Alexander S.

Galperin,available at Book Depository with free delivery worldwide. Superspace is the coordinate space of a theory exhibiting such a formulation, along with ordinary space dimensions x, y, z,there are also "anticommuting" dimensions whose coordinates are labeled in Grassmann numbers rather than real numbers.

The ordinary space dimensions correspond to bosonic degrees of freedom, the anticommuting dimensions. 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. Harmonic Superspace This is the first pedagogical introduction to the harmonic superspace method in extended (N > 1) supersymmetry. Inspired by recent exciting developments in superstring theory, it provides a systematic treatment of the quantum field theories with N = 2 and N = 3 extended supersymmetry in harmonic superspace.

An extension of the ordinary superspace of given SUSY by coordinates (harmonics) parameterizing a coset of the internal symmetry automorphisms group of the SUSY algebra. More generally, harmonic superspace is defined as a coset manifold of some supergroup (which can involve an extended Poincaré supersymmetry subgroup), such that it contains, among its.

This is a great book and one you can read at many levels. If you're a relative novice when it comes to music theory like me then the first part of the book (~ pages) is likely to be the only part that is valuable to you on your first read through since the rest will go over your head (at least it went over mine), but even the first part by itself is a good enough reason to read this book/5.

'Harmonic Superspace is the first discussion, outside of the confines of the research literature, to present pedagogically the intricacies of its topic. This is a unique book.' Physics Today ' it deserves a place in every theoretical physics and mathematics library. It is clearly all set to become the standard work on all things Author: E.

Sokatchev A. Galperin, E. Ivanov, V. Ogievetsky. The harmonic superspace is obtained from the N = (1, 0) superspace just defined by adding to its coordinates the harmonic variables u ± i, such that u + i u i − = 1 and u i − = (u + i) ∗.

The basic novel feature of the harmonic superspace is the existence of an analytic subspace in Cited by: 4. We review the recent progress in studying the quantum structure of 6 D, N = (1, 0), and N = (1, 1) supersymmetric gauge theories formulated through unconstrained harmonic superfields.

The harmonic superfield approach allows one to carry out the quantization and calculations of the quantum corrections in a manifestly N = (1, 0) supersymmetric by: 4. We develop a new superfield approach to N=4 supersymmetric mechanics based on the concept of biharmonic superspace (bi-HSS).

It is an extension of. Hartwell G G, Howe P S (): (N, p, q) harmonic superspace. Int J. Mod. P – zbMATH CrossRef ADS MathSciNet Google Scholar Howe P S (): A superspace approach to conformal by: within harmonic superspace and ordinary superspace.

In addition, it is within these authors’ capabilities to have included a discussion of har-monic superspace background field techniques and applications to effec-tive actions. The book is a worthy memorial to the late academician Ogievetsky, who died in (see PHYSICS TODAY, November We review the underlying algebraic structures of supergravity theories with symmetric scalar manifolds in five and four dimensions, orbits of their extremal black hole solutions and the spectrum generating extensions of their U-duality groups.

For 5D, N = 2 Maxwell-Einstein supergravity theories (MESGT) defined by Euclidean Jordan algebras, J, the spectrum Cited by: Cambridge Univ Pr, Paperback. New. pages. xx inches. Harmonic superspace is used to build up an unconstrained off-shell formulation of N=3 supersymmetry Yang-Mills theory.

The theory is defined in an analytic N=3 superspace having M4(X)SU(3)/(U(1)(X.Harmonic Experience extends any reader's understanding of music and is a user-friendly, elegant and graceful work.

It is a technical treatise about the inner workings of music.", Daniel Atesh Sonneborn, Smithsonian InstitutionCited by: 6. We define N=4, d=1 harmonic superspace HR^{1+2|4} with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2)xSU(2) of N=4, d=1 Poincaré supersymmetry.

We reformulate, in this new setting, the models of N=4 supersymmetric quantum mechanics associated with the off-shell multiplets (3, 4, 1) and (4, 4, 0). The latter admit a Cited by: