Unconstrained N = 2 matter, Yang-Mills and supergravity theories in harmonic superspace

1985 ◽  
Vol 2 (1) ◽  
pp. 127-127 ◽  
Author(s):  
A Galperin ◽  
A Ivanov ◽  
S Kalitzin ◽  
V Ogievetsky ◽  
E Sokatchev
2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
I. L. Buchbinder ◽  
E. A. Ivanov ◽  
V. A. Ivanovskiy

Abstract We develop a novel bi-harmonic $$ \mathcal{N} $$ N = 4 superspace formulation of the $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the $$ \mathcal{N} $$ N = 4 SYM superfield constraints are solved in terms of on-shell $$ \mathcal{N} $$ N = 2 harmonic superfields. Such an approach provides a convenient tool of constructing the manifestly $$ \mathcal{N} $$ N = 4 supersymmetric invariants and further rewriting them in $$ \mathcal{N} $$ N = 2 harmonic superspace. In particular, we present $$ \mathcal{N} $$ N = 4 superfield form of the leading term in the $$ \mathcal{N} $$ N = 4 SYM effective action which was known previously in $$ \mathcal{N} $$ N = 2 superspace formulation.


1999 ◽  
Vol 14 (11) ◽  
pp. 1737-1757 ◽  
Author(s):  
SERGEI M. KUZENKO

We analyze the relationship between the N=2 harmonic and projective superspaces, which are the only approaches developed to describe general N=2 super-Yang–Mills theories in terms of off-shell supermultiplets with conventional supersymmetry. The structure of low energy hypermultiplet effective action is briefly discussed.


1991 ◽  
Vol 06 (23) ◽  
pp. 2143-2154 ◽  
Author(s):  
G. A. KHELASHVILI ◽  
V. I. OGIEVETSKY

The massive N = 2 supersymmetric Yang–Mills theory is investigated. Its non-renormalizability is revealed starting from the fourth order of the perturbation theory. The N = 2 harmonic superspace approach and the Stueckelberg-like formalism are used. The Stueckelberg fields form some nonlinear sigma model. Non-renormalizability of the latter produces non-renormalizability of the N = 2 supersymmetric Yang–Mills theory.


2001 ◽  
Vol 598 (3) ◽  
pp. 645-661 ◽  
Author(s):  
Jiřı́ Niederle ◽  
Boris Zupnik

2008 ◽  
Vol 802 (1-2) ◽  
pp. 208-246 ◽  
Author(s):  
I.L. Buchbinder ◽  
O. Lechtenfeld ◽  
I.B. Samsonov

2015 ◽  
Vol 2015 (12) ◽  
pp. 1-59 ◽  
Author(s):  
Guillaume Bossard ◽  
Evgeny Ivanov ◽  
Andrei Smilga

1995 ◽  
Vol 10 (27) ◽  
pp. 3901-3919 ◽  
Author(s):  
G.G. HARTWELL ◽  
P.S. HOWE

A family of harmonic superspaces associated with four-dimensional Minkowski space-time is described. Applications are made to free massless supermultiplets, invariant integrals and super-Yang-Mills theory. Generalization to curved space-times is performed, with emphasis on conformal supergravities.


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