A. V. Gaiduk, H. M. Khudaverdian, A. S. Schwarz, “Integration over surfaces in superspace”, TMF, 52:3 (1982), 375–383; Theoret. and Math. Phys., 52:3 (1982), 862

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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 52, Number 3, Pages 375–383 (Mi tmf2560)

This article is cited in 10 scientific papers (total in 10 papers)

Integration over surfaces in superspace

A. V. Gaiduk, H. M. Khudaverdian, A. S. Schwarz

Full-text PDF (1298 kB) Citations (10)

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Abstract: A study is made of

$(m,n)$ -densities, which are the most general entities that can be integrated over a

$(m,n)$ -dimensional surface in superspace. It is shown that the Bernshtein–Leites integral forms can be interpreted as densities; the class of densities corresponding to these forms is characterized.

Received: 06.10.1981

English version:
Theoretical and Mathematical Physics, 1982, Volume 52, Issue 3, Pages 862–868
DOI: https://doi.org/10.1007/BF01038080

Bibliographic databases:

Language: Russian

Citation: A. V. Gaiduk, H. M. Khudaverdian, A. S. Schwarz, “Integration over surfaces in superspace”, TMF, 52:3 (1982), 375–383; Theoret. and Math. Phys., 52:3 (1982), 862–868

Citation in format AMSBIB

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\paper Integration over surfaces in superspace

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\yr 1982

\vol 52

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\transl

\jour Theoret. and Math. Phys.

\yr 1982

\vol 52

\issue 3

\pages 862--868

\crossref{https://doi.org/10.1007/BF01038080}

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Linking options:

https://www.mathnet.ru/eng/tmf2560

https://www.mathnet.ru/eng/tmf/v52/i3/p375

This publication is cited in the following 10 articles:

Simone Noja, “On the geometry of forms on supermanifolds”, Differential Geometry and its Applications, 88 (2023), 101999
Ekaterina Shemyakova, Theodore Voronov, “On super Plücker embedding and cluster algebras”, Sel. Math. New Ser., 28:2 (2022)
S. James Gates, William D. Linch, Stephen Randall, “Superforms in five-dimensional, N = 1 superspace”, J. High Energ. Phys., 2015:5 (2015)
Gabriele Tartaglino-Mazzucchelli, “On 2D N = (4,4) superspace supergravity”, Phys. Part. Nuclei Lett., 8:3 (2011), 251
S James Gates, Gabriele Tartaglino-Mazzucchelli, “Ectoplasm and superspace integration measures for 2D supergravity with four spinorial supercurrents”, J. Phys. A: Math. Theor., 43:9 (2010), 095401
S. J. Gates, S. M. Kuzenko, G. Tartaglino-Mazzucchelli, “Chiral supergravity actions and superforms”, Phys. Rev. D, 80:12 (2009)
Hovhannes M. Khudaverdian, Theodore Voronov, “On complexes related with calculus of variations”, Journal of Geometry and Physics, 44:2-3 (2002), 221
Mikhail Alexandrov, “Action functionals for strings in four dimensions”, Letters in Mathematical Physics, 37:2 (1996), 181
A. A. Roslyľ, O. M. Khudaverdyan, A. S. Schwarz, Encyclopaedia of Mathematical Sciences, 9, Several Complex Variables III, 1989, 223
H. M. Khudaverdian, A. S. Schwarz, “Normal gauge in supergravity”, Theoret. and Math. Phys., 57:3 (1983), 1189–1195

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

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Abstract page:	374
Full-text PDF :	148
References:	63
First page:	1

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