New bi-harmonic superspace formulation of 4D, N $$ \mathcal{N} $$ = 4 SYM theory

Autor: I. L. Buchbinder, E. A. Ivanov, V. A. Ivanovskiy
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 4, Pp 1-41 (2021)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP04(2021)010
Popis: Abstract We develop a novel bi-harmonic N $$ \mathcal{N} $$ = 4 superspace formulation of the N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory (SYM) in four dimensions. In this approach, the N $$ \mathcal{N} $$ = 4 SYM superfield constraints are solved in terms of on-shell N $$ \mathcal{N} $$ = 2 harmonic superfields. Such an approach provides a convenient tool of constructing the manifestly N $$ \mathcal{N} $$ = 4 supersymmetric invariants and further rewriting them in N $$ \mathcal{N} $$ = 2 harmonic superspace. In particular, we present N $$ \mathcal{N} $$ = 4 superfield form of the leading term in the N $$ \mathcal{N} $$ = 4 SYM effective action which was known previously in N $$ \mathcal{N} $$ = 2 superspace formulation.
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