A. A. Roslyĭ and A. S. Schwarz :
“Geometriya neminimal’noj i al’ternativnoj minimal’noj superggravitatsii ”
[Geometry of nonminimal and alternative minimal supergravity ],
Yadernaya Fiz.
37 : 3
(1983 ),
pp. 786–794 .
An English translation was published in Soviet J. Nuclear Phys. 37 :3 (1983) .
MR
719875
article
People
BibTeX
@article {key719875m,
AUTHOR = {Rosly\u{\i}, A. A. and Schwarz, A. S.},
TITLE = {Geometriya neminimal\cprime noj i al\cprime
ternativnoj minimal\cprime noj superggravitatsii
[Geometry of nonminimal and alternative
minimal supergravity]},
JOURNAL = {Yadernaya Fiz.},
FJOURNAL = {Yadernaya Fizika. Akademiya Nauk SSSR},
VOLUME = {37},
NUMBER = {3},
YEAR = {1983},
PAGES = {786--794},
NOTE = {An English translation was published
in \textit{Soviet J. Nuclear Phys.}
\textbf{37}:3 (1983). MR:719875.},
ISSN = {0044-0027},
}
A. A. Rosly and A. S. Schwarz :
“Geometry of \( N=1 \) supergravity ,”
Comm. Math. Phys.
95 : 2
(1984 ),
pp. 161–184 .
MR
760330
Zbl
0644.53077
article
Abstract
People
BibTeX
@article {key760330m,
AUTHOR = {Rosly, A. A. and Schwarz, A. S.},
TITLE = {Geometry of \$N=1\$ supergravity},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {95},
NUMBER = {2},
YEAR = {1984},
PAGES = {161--184},
DOI = {10.1007/BF01468139},
NOTE = {MR:760330. Zbl:0644.53077.},
ISSN = {0010-3616},
}
A. A. Rosly and A. S. Schwarz :
“Geometry of \( N=1 \) supergravity, II ,”
Comm. Math. Phys.
96 : 3
(1984 ),
pp. 285–309 .
MR
769349
Zbl
0644.53078
article
Abstract
People
BibTeX
The supergravity torsion and curvature constraints are shown to be a particular case of constraints arising in a general geometrical situation. For this purpose, a theorem is proved which describes the necessary and sufficient conditions that the given geometry can be realized on a surface as one induced by the geometry of the ambient space. The proof uses the theory of nonlinear partial differential equations in superspace, Spencer cohomologies, etc. This theorem generalizes various theorems, well known in mathematics (e.g., the Gauss–Codazzi theorem), and may be of its own interest.
@article {key769349m,
AUTHOR = {Rosly, A. A. and Schwarz, A. S.},
TITLE = {Geometry of \$N=1\$ supergravity, {II}},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {96},
NUMBER = {3},
YEAR = {1984},
PAGES = {285--309},
DOI = {10.1007/BF01214576},
URL = {http://projecteuclid.org/euclid.cmp/1103941851},
NOTE = {MR:769349. Zbl:0644.53078.},
ISSN = {0010-3616},
}
M. A. Baranov, A. A. Roslyĭ, and A. S. Shvarts :
“Superlightlike geodesics in supergravity ,”
Yadernaya Fiz.
41 : 1
(1985 ),
pp. 285–287 .
An English translation was published in Soviet J. Nuclear Phys. 41 :1 (1985) .
MR
804665
article
People
BibTeX
@article {key804665m,
AUTHOR = {Baranov, M. A. and Rosly\u{\i}, A. A.
and Shvarts, A. S.},
TITLE = {Superlightlike geodesics in supergravity},
JOURNAL = {Yadernaya Fiz.},
FJOURNAL = {Yadernaya Fizika. Akademiya Nauk SSSR},
VOLUME = {41},
NUMBER = {1},
YEAR = {1985},
PAGES = {285--287},
NOTE = {An English translation was published
in \textit{Soviet J. Nuclear Phys.}
\textbf{41}:1 (1985). MR:804665.},
ISSN = {0044-0027},
}
M. A. Baranov, A. A. Roslyĭ, and A. S. Shvarts :
“O svqzi gravitacii i supergravitacii ”
[On the connection between gravity and supergravity ],
Teoret. Mat. Fiz.
64 : 1
(1985 ),
pp. 7–16 .
An English translation was published in Theor. Math. Phys. 64 :1 (1985) .
MR
815093
article
People
BibTeX
@article {key815093m,
AUTHOR = {Baranov, M. A. and Rosly\u{\i}, A. A.
and Shvarts, A. S.},
TITLE = {O svqzi gravitacii i supergravitacii
[On the connection between gravity and
supergravity]},
JOURNAL = {Teoret. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {64},
NUMBER = {1},
YEAR = {1985},
PAGES = {7--16},
URL = {http://mi.mathnet.ru/tmf4897},
NOTE = {An English translation was published
in \textit{Theor. Math. Phys.} \textbf{64}:1
(1985). MR:815093.},
ISSN = {0564-6162},
}
A. A. Rosly and A. S. Schwarz :
“Geometrical origin of new unconstrained superfields ,”
pp. 308–324
in
Proceedings of the third seminar on quantum gravity
(Moscow, 23–25 October 1984 ).
Edited by M. A. Markov, V. A. Berezin, and V. P. Frolov .
World Scientific (Singapore ),
1985 .
MR
829729
incollection
Abstract
People
BibTeX
@incollection {key829729m,
AUTHOR = {Rosly, A. A. and Schwarz, A. S.},
TITLE = {Geometrical origin of new unconstrained
superfields},
BOOKTITLE = {Proceedings of the third seminar on
quantum gravity},
EDITOR = {Markov, M. A. and Berezin, V. A. and
Frolov, V. P.},
PUBLISHER = {World Scientific},
ADDRESS = {Singapore},
YEAR = {1985},
PAGES = {308--324},
NOTE = {(Moscow, 23--25 October 1984). MR:829729.},
ISBN = {9789971978907},
}
M. A. Baranov, A. A. Roslyĭ, and A. S. Shvarts :
“Geometric aspects of supergravity ,”
Problemy Yadern. Fiz. i Kosm. Lucheĭ
24
(1985 ),
pp. 25–33 .
MR
887675
article
People
BibTeX
@article {key887675m,
AUTHOR = {Baranov, M. A. and Rosly\u{\i}, A. A.
and Shvarts, A. S.},
TITLE = {Geometric aspects of supergravity},
JOURNAL = {Problemy Yadern. Fiz. i Kosm. Luche\u{\i}},
FJOURNAL = {Problemy Yaderno\u{\i} Fiziki i Kosmicheskikh
Luche\u{\i}},
VOLUME = {24},
YEAR = {1985},
PAGES = {25--33},
NOTE = {MR:887675.},
ISSN = {0131-3142},
}
A. A. Rosly and A. S. Schwarz :
“Supersymmetry in a space with auxiliary dimensions ,”
Comm. Math. Phys.
105 : 4
(1986 ),
pp. 645–668 .
MR
852094
article
Abstract
People
BibTeX
@article {key852094m,
AUTHOR = {Rosly, A. A. and Schwarz, A. S.},
TITLE = {Supersymmetry in a space with auxiliary
dimensions},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {105},
NUMBER = {4},
YEAR = {1986},
PAGES = {645--668},
DOI = {10.1007/BF01238937},
NOTE = {MR:852094.},
ISSN = {0010-3616},
}
A. A. Roslyĭ, O. M. Khudaverdyan, and A. S. Shvarts :
“Supersimmetriq i kompleksnaq geometriq ”
[Supersymmetry and complex geometry ],
pp. 247–284
in
Complex analysis: Several variables, III .
Edited by G. M. Khenkin and R. V. Gamkrelidze .
Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 9 .
VINITI (Moscow ),
1986 .
An English translation was published in 1989 .
MR
860614
incollection
People
BibTeX
@incollection {key860614m,
AUTHOR = {Rosly\u{\i}, A. A. and Khudaverdyan,
O. M. and Shvarts, A. S.},
TITLE = {Supersimmetriq i kompleksnaq geometriq
[Supersymmetry and complex geometry]},
BOOKTITLE = {Complex analysis: {S}everal variables,
{III}},
EDITOR = {Khenkin, G. M. and Gamkrelidze, R. V.},
SERIES = {Sovremennye Problemy Matematiki. Fundamental\cprime
nye Napravleniya},
NUMBER = {9},
PUBLISHER = {VINITI},
ADDRESS = {Moscow},
YEAR = {1986},
PAGES = {247--284},
URL = {http://mi.mathnet.ru/eng/intf63},
NOTE = {An English translation was published
in 1989. MR:860614.},
ISSN = {0202-7488},
}
A. A. Rosly, A. S. Schwarz, and A. A. Voronov :
“Geometry of superconformal manifolds ,”
Comm. Math. Phys.
119 : 1
(1988 ),
pp. 129–152 .
MR
968484
Zbl
0675.58010
article
Abstract
People
BibTeX
The main facts about complex curves are generalized to superconformal manifolds. The results thus obtained are relevant to the fermion string theory and, in particular, they are useful for computation of determinants of super laplacians which enter the string partition function.
@article {key968484m,
AUTHOR = {Rosly, A. A. and Schwarz, A. S. and
Voronov, Alexander A.},
TITLE = {Geometry of superconformal manifolds},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {119},
NUMBER = {1},
YEAR = {1988},
PAGES = {129--152},
DOI = {10.1007/BF01218264},
NOTE = {MR:968484. Zbl:0675.58010.},
ISSN = {0010-3616},
}
A. A. Rosly, A. S. Schwarz, and A. A. Voronov :
“Superconformal geometry and string theory ,”
Comm. Math. Phys.
120 : 3
(1989 ),
pp. 437–450 .
MR
981212
Zbl
0667.58008
article
Abstract
People
BibTeX
@article {key981212m,
AUTHOR = {Rosly, A. A. and Schwarz, A. S. and
Voronov, Alexander A.},
TITLE = {Superconformal geometry and string theory},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {120},
NUMBER = {3},
YEAR = {1989},
PAGES = {437--450},
DOI = {10.1007/BF01225506},
NOTE = {MR:981212. Zbl:0667.58008.},
ISSN = {0010-3616},
}