Super-Schwarzians via nonlinear realizations

Autor: Anton Galajinsky
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2020, Iss 6, Pp 1-14 (2020)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP06(2020)027
Popis: Abstract The N $$ \mathcal{N} $$ = 1 and N $$ \mathcal{N} $$ = 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.
Databáze: Directory of Open Access Journals