Super-Schwarzians via nonlinear realizations

A bstract The N = 1 and N = 2 super-Schwarzian derivatives were originally introduced by physicists when computing a finite superconformal transformation of the super stress-energy tensor underlying a superconformal field theory. Mathematicians like to think of them as the cocycles describing centra...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2020; no. 6; pp. 1 - 14
Main Author Galajinsky, Anton
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2020
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Conformal and W Symmetry
Elementary Particles
Extended Supersymmetry
Field theory
High energy physics
Mathematical analysis
Physicists
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Tensors
Extended Supersymmetry
Conformal and W Symmetry
Online AccessGet full text

Cover

More Information
Summary:A bstract The N = 1 and N = 2 super-Schwarzian derivatives were originally introduced by physicists when computing a finite superconformal transformation of the super stress-energy tensor underlying a superconformal field theory. Mathematicians like to think of them as the cocycles describing central extensions of Lie superalgebras. In this work, a third possibility is discussed which consists in applying the method of nonlinear realizations to osp (1 | 2) and su (1 , 1 | 1) superconformal algebras. It is demonstrated that the super-Schwarzians arise quite naturally, if one decides to keep the number of independent Goldstone superfields to a minimum.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2020)027