Nilpotent deformations of N = 2 superspace

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OriginalspracheEnglisch
Seiten (von - bis)331-346
Seitenumfang16
FachzeitschriftJournal of high energy physics
Jahrgang8
Ausgabenummer2
PublikationsstatusVeröffentlicht - 1 Feb. 2004

Abstract

We investigate deformations of four-dimensional N = (1, 1) euclidean super-space induced by nonanticommuting fermionic coordinates. We essentially use the harmonic superspace approach and consider nilpotent bi-differential Poisson operators only. One variant of such deformations (termed chiral nilpotent) directly generalizes the recently studied chiral deformation of N = (1/2, 1/2) superspace. It preserves chirality and harmonic analyticity but generically breaks N = (1, 1) to N = (1, 0) supersymmetry. Yet, for degenerate choices of the constant deformation matrix N = (1, 1/2) supersymmetry can be retained, i.e. a fraction of 3/4. An alternative version (termed analytic nilpotent) imposes minimal nonanticommutativity on the analytic coordinates of harmonic superspace. It does not affect the analytic subspace and respects all supersymmetries, at the expense of chirality however. For a chiral nilpotent deformation, we present non(anti)commutative euclidean analogs of N = 2 Maxwell and hypermultiplet off-shell actions.

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Nilpotent deformations of N = 2 superspace. / Ivanov, Evgeny; Zupnik, Boris; Lechtenfeld, Olaf.
in: Journal of high energy physics, Jahrgang 8, Nr. 2, 01.02.2004, S. 331-346.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ivanov E, Zupnik B, Lechtenfeld O. Nilpotent deformations of N = 2 superspace. Journal of high energy physics. 2004 Feb 1;8(2):331-346. doi: 10.1088/1126-6708/2004/02/012, 10.1088/1126-6708/2004/02/012
Ivanov, Evgeny ; Zupnik, Boris ; Lechtenfeld, Olaf. / Nilpotent deformations of N = 2 superspace. in: Journal of high energy physics. 2004 ; Jahrgang 8, Nr. 2. S. 331-346.
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