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Extended Supersymmetry in Four-Dimensional Euclidean Space

โœ Scribed by D.G.C. McKeon; T.N. Sherry

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
266 KB
Volume
285
Category
Article
ISSN
0003-4916

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โœฆ Synopsis

Since the generators of the two SU(2) groups which comprise SO(4) are not Hermitian conjugates of each other, the simplest supersymmetry algebra in four-dimensional Euclidean space more closely resembles the N=2 than the N=1 supersymmetry algebra in four-dimensional Minkowski space. An extended supersymmetry algebra in four-dimensional Euclidean space is considered in this paper; its structure resembles that of N=4 supersymmetry in fourdimensional Minkowski space. The relationship of this algebra to the algebra found by dimensionally reducing the N=1 supersymmetry algebra in ten-dimensional Euclidean space to four-dimensional Euclidean space is examined. The dimensional reduction of N=1 super Yang Mills theory in ten-dimensional Minkowski space to four-dimensional Euclidean space is also considered.

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