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Title: (0, 4) Projective superspaces. Part I. Interacting linear sigma models
A<sc>bstract</sc> We describe the projective superspace approach to supersymmetric models with off-shell (0, 4) supersymmetry in two dimensions. In addition to the usual superspace coordinates, projective superspace has extra bosonic variables — one doublet for each SU(2) in the R-symmetry SU(2) × SU(2) which are interpreted as homogeneous coordinates onCP1×CP1. The superfields are analytic in theCP1coordinates and this analyticity plays an important role in our description. For instance, it leads to stringent constraints on the interactions one can write down for a given superfield content of the model. As an example, we describe in projective superspace Witten’s ADHM sigma model — a linear sigma model with non-derivative interactions whose target isR4with a Yang-Mills instanton solution. The hyperkähler nature of target space and the twistor description of instantons by Ward, and Atiyah, Hitchin, Drinfeld and Manin are natural outputs of our construction.  more » « less
Award ID(s):
2210533
PAR ID:
10509771
Author(s) / Creator(s):
;
Publisher / Repository:
JHEP
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2023
Issue:
7
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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