A. S. Schwarz, “On the definition of superspace”, TMF, 60:1 (1984), 37–42; Theoret. and Math. Phys., 60:1 (1984), 657

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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 60, Number 1, Pages 37–42 (Mi tmf5111)

This article is cited in 20 scientific papers (total in 20 papers)

On the definition of superspace

A. S. Schwarz

Full-text PDF (814 kB) Citations (20)

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Abstract: Attention is drawn to a mathematical formalization of the concepts of supermathematics employed in physics in a language that does not use sheaf theory.

Received: 05.10.1983

English version:
Theoretical and Mathematical Physics, 1984, Volume 60, Issue 1, Pages 657–660
DOI: https://doi.org/10.1007/BF01018248

Bibliographic databases:

Language: Russian

Citation: A. S. Schwarz, “On the definition of superspace”, TMF, 60:1 (1984), 37–42; Theoret. and Math. Phys., 60:1 (1984), 657–660

Citation in format AMSBIB

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\transl

\jour Theoret. and Math. Phys.

\yr 1984

\vol 60

\issue 1

\pages 657--660

\crossref{https://doi.org/10.1007/BF01018248}

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Linking options:

https://www.mathnet.ru/eng/tmf5111

https://www.mathnet.ru/eng/tmf/v60/i1/p37

This publication is cited in the following 20 articles:

Andrew James Bruce, Eduardo Ibarguëngoytia, Norbert Poncin, “Linear $\mathbb{Z}_2^n$ -Manifolds and Linear Actions”, SIGMA, 17 (2021), 060, 58 pp.
Said Mikki, “On the Topological Structure of Nonlocal Continuum Field Theories”, Foundations, 2:1 (2021), 20
Andrew James Bruce, Eduardo Ibarguengoytia, Norbert Poncin, “The Schwarz–Voronov Embedding of ${\mathbb Z}_{2}^{n}$ -Manifolds”, SIGMA, 16 (2020), 002, 47 pp.
María Antonia Lledó, “Superfields, Nilpotent Superfields and Superschemes”, Symmetry, 12:6 (2020), 1024
Andrei Mikhailov, Segundo P. Milián, “A geometrical point of view on linearized beta-deformations”, Lett Math Phys, 109:9 (2019), 1939
Andrei Mikhailov, Albert Schwarz, “Families of gauge conditions in BV formalism”, J. High Energ. Phys., 2017:7 (2017)
Thomas-Paul Hack, Florian Hanisch, Alexander Schenkel, “Supergeometry in Locally Covariant Quantum Field Theory”, Commun. Math. Phys., 342:2 (2016), 615
R. Fioresi, E. Latini, “The symplectic origin of conformal and Minkowski superspaces”, Journal of Mathematical Physics, 57:2 (2016)
Josua Groeger, “The twofold way of super holonomy”, Forum Mathematicum, 28:6 (2016), 1031
Karl-Hermann Neeb, Hadi Salmasian*, “Positive definite superfunctions and unitary representations of lie supergroups”, Transformation Groups, 18:3 (2013), 803
A. Schwarz, I. Shapiro, “p-adic Superspaces and Frobenius”, Commun. Math. Phys., 282:1 (2008), 87
A. Schwarz, I. Shapiro, “Supergeometry and arithmetic geometry”, Nuclear Physics B, 756:3 (2006), 207
Ugo Bruzzo, Vladimir Pestov, “On the notion of compactness in supergeometry”, Bull. Austral. Math. Soc., 61:3 (2000), 473
S. A. Duplij, “The ideal structure of superconformal semigroups”, Theoret. and Math. Phys., 106:3 (1996), 291–306
B. M. Zupnik, “Minimum deformations of commutative algebra and linear group $GL(n)$ ”, Theoret. and Math. Phys., 95:3 (1993), 677–685
F. F. Voronov, “Quantization on supermanifolds and an analytic proof of the Atiyah–Singer index theorem”, J. Soviet Math., 64:4 (1993), 993–1069
V. M. Buchstaber, A. N. Kholodov, “Groups of formal diffeomorphisms of the superline, generating functions for sequences of polynomials, and functional equations”, Math. USSR-Izv., 35:2 (1990), 277–305
Peter Bryant, Lecture Notes in Physics, 311, Complex Differential Geometry and Supermanifolds in Strings and Fields, 1988, 150
S. M. Natanzon, “The Fricke space of super-Fuchsian groups”, Funct. Anal. Appl., 21:2 (1987), 158–159
A. A. Voronov, “Mappings of supermanifolds”, Theoret. and Math. Phys., 60:1 (1984), 660–664

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	1127
Full-text PDF :	372
References:	124
First page:	1

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