Konechny, Anatoli; Schwarz, Albert Geometry of \(N=1\) super Yang-Mills theory in curved superspace. (English) Zbl 0899.53061 J. Geom. Phys. 23, No. 2, 97-110 (1997). A. S. Schwarz [Commun. Math. Phys. 87, 37-63 (1982; Zbl 0503.53048)] proposed a geometric description of \(N=1\) supergravity in terms of the so-called ‘special Cauchy-Riemann structures’ on embedded sub-supermanifolds. In the present paper this approach is applied to \(N=1\) super Yang-Mills theory. Reviewer: U.Bruzzo (Miramare) MSC: 53Z05 Applications of differential geometry to physics 81T60 Supersymmetric field theories in quantum mechanics 58A50 Supermanifolds and graded manifolds Keywords:supermanifolds; induced geometry approach; supersymmetric field theory Citations:Zbl 0503.53048 × Cite Format Result Cite Review PDF Full Text: DOI arXiv References: [1] Schwarz, A. S., Supergravity, complex geometry and G-structures, Commun. Math. Phys., 87, 37-63 (1982) · Zbl 0503.53048 [2] Bagger, J.; Wess, J., Supersymmetry and Supergravity (1992), Princeton University Press: Princeton University Press Princeton, NJ [3] Rosly, A. A.; Schwarz, A. S., Geometry of \(N = 1\) supergravity, Comm. Math. Phys., 95, 161-184 (1984) · Zbl 0644.53077 [4] Rosly, A. A.; Schwarz, A. S., Geometry of \(N = 1\) supergravity (2), Comm. Math. Phys., 96, 285-309 (1984) · Zbl 0644.53078 [5] Rosly, A. A.; Schwarz, A. S., Supersymmetry in a space with auxiliary dimensions, Comm. Math. Phys., 105, 645-668 (1986) · Zbl 0615.58001 [6] Rosly, A. A., Geometry of \(N = 1\) Yang-Mills theory in curved superspace, J. Phys. A, 15, L663-L667 (1982) [7] Wess, J., Supersymmetry-Supergravity, (Lecture Notes in Physics, Vol. 77 (1978), Springer: Springer Berlin), 81 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.