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. Roslyĭ and A. S. Schwarz :
“Geometry of minimal and alternative minimal supergravity ,”
Soviet J. Nuclear Phys.
37 : 3
(1983 ),
pp. 466–471 .
English translation of Russian original published in Yadernaya Fiz. 37 :3 (1983)
Zbl
0592.53067 article
Abstract
People
BibTeX
The geometry of \( N = 1 \) supergravity is investigated. It is proved, in particular, that the ”nongeometric” action of the alternative minimal supergravity can be obtained by means of a limiting process from the ”geometric” action of nonminimal supergravity. The methods used in this paper have general validity and are presumably applicable to an investigation of extended supergravity.
@article {key0592.53067z,
AUTHOR = {Rosly\u{\i}, A. A. and Schwarz, A. S.},
TITLE = {Geometry of minimal and alternative
minimal supergravity},
JOURNAL = {Soviet J. Nuclear Phys.},
FJOURNAL = {Soviet Journal of Nuclear Physics},
VOLUME = {37},
NUMBER = {3},
YEAR = {1983},
PAGES = {466--471},
NOTE = {English translation of Russian original
published in \textit{Yadernaya Fiz.}
\textbf{37}:3 (1983). Zbl:0592.53067.},
ISSN = {0038-5506},
}
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},
}
M. A. Baranov, A. A. Roslyĭ, and A. S. Shvarts :
“On the connection between gravity and supergravity Theor. Math. Phys.
64 : 1
(1985 ),
pp. 649–655 .
English translation of Russian original published in Teoret. Mat. Fiz. 64 :1 (1985)
Zbl
0584.53041 article
Abstract
People
BibTeX
@article {key0584.53041z,
AUTHOR = {Baranov, M. A. and Rosly\u{\i}, A. A.
and Shvarts, A. S.},
TITLE = {On the connection between gravity and
supergravity},
JOURNAL = {Theor. Math. Phys.},
FJOURNAL = {Theoretical Mathematics and Physics},
VOLUME = {64},
NUMBER = {1},
YEAR = {1985},
PAGES = {649--655},
DOI = {10.1007/BF01017031},
NOTE = {English translation of Russian original
published in \textit{Teoret. Mat. Fiz.}
\textbf{64}:1 (1985). Zbl:0584.53041.},
ISSN = {0040-5779},
}
M. A. Baranov, A. A. Roslyĭ, and A. S. Shvarts :
“Superlightlike geodesics in supergravity ,”
Soviet J. Nuclear Phys.
41 : 1
(1985 ),
pp. 285–287 .
English translation of Russian original published in Yadernaya Fiz. 41 :1 (1985)
Zbl
0592.58013 article
Abstract
People
BibTeX
@article {key0592.58013z,
AUTHOR = {Baranov, M. A. and Rosly\u{\i}, A. A.
and Shvarts, A. S.},
TITLE = {Superlightlike geodesics in supergravity},
JOURNAL = {Soviet J. Nuclear Phys.},
FJOURNAL = {Soviet Journal of Nuclear Physics},
VOLUME = {41},
NUMBER = {1},
YEAR = {1985},
PAGES = {285--287},
NOTE = {English translation of Russian original
published in \textit{Yadernaya Fiz.}
\textbf{41}:1 (1985). Zbl:0592.58013.},
ISSN = {0038-5506},
}
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},
}
A. A. Roslyĭ, O. M. Khudaverdyan, and A. S. Shvarts :
“Supersymmetry and complex geometry 223–261
in
Several complex variables, III: Geometric function theory .
Edited by G. M. Khenkin and R. V. Gamkrelidze .
Enclyclopedia of the Mathematical Sciences 9 .
Springer (Berlin ),
1989 .
English translation of Russian original published in 1986 .
Zbl
0794.53050 incollection
Abstract
People
BibTeX
In the past years supersymmetric theories have gained great importance in physics. By this one intends field theoretical models based on a new form of symmetry dubbed supersymmetry. Supersymmetry connects boson and fermion fields with each other [Gayduk et al. 1981; Volkov and Akulov 1974; Wess 1978; Ogievetskii and Mezinchesku 1975; Fayet and Ferrara 1977]. The observed properties of particles cannot satisfy the demands of supersymmetry (for instance, supersymmetry would lead to the equality of mass for the boson and the corresponding fermion). However, an increasing number of physicists have arrived at the conviction that the action functional of interactions encountered in nature must be supersymmetrical (although for the ground state (the physical vacuum) and, consequently, for the observed spectra of particles supersymmetry is broken). Perhaps the most weighty foundation for such a belief is the mathematical beauty of the supersymmetric theories and the remarkable property of cancellation of the divergencies appearing in these theories. It is question of the circumstance that in quantum field theories one encounters divergencies arising from the integration over large momenta (ultraviolet divergencies). In supersymmetry the most dangerous of these divergencies cancel. Moreover, there exist models completely free of ultraviolet divergencies. Presently great hopes are put on such supersymmetric theories which take account of the presence of gravitational interactions. Thus an important constituent part of these theories is played by supergravity , a supersymmetric theory containing Einstein’s theory of gravity.
@incollection {key0794.53050z,
AUTHOR = {Rosly\u{\i}, A. A. and Khudaverdyan,
O. M. and Shvarts, A. S.},
TITLE = {Supersymmetry and complex geometry},
BOOKTITLE = {Several complex variables, {III}: {G}eometric
function theory},
EDITOR = {Khenkin, G. M. and Gamkrelidze, R. V.},
SERIES = {Enclyclopedia of the Mathematical Sciences},
NUMBER = {9},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1989},
PAGES = {223--261},
DOI = {10.1007/978-3-642-61308-1_7},
NOTE = {English translation of Russian original
published in 1986. Zbl:0794.53050.},
ISSN = {0938-0396},
ISBN = {9783540170051},
}
S. N. Dolgikh, A. A. Rosly, and A. S. Schwarz :
“Supermoduli spaces Commun. Math. Phys.
135 : 1
(1990 ),
pp. 91–100 .
MR
1086753 Zbl
0715.32008 article
Abstract
People
BibTeX
@article {key1086753m,
AUTHOR = {Dolgikh, S. N. and Rosly, A. A. and
Schwarz, A. S.},
TITLE = {Supermoduli spaces},
JOURNAL = {Commun. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {135},
NUMBER = {1},
YEAR = {1990},
PAGES = {91--100},
DOI = {10.1007/BF02097658},
NOTE = {MR:1086753. Zbl:0715.32008.},
ISSN = {0010-3616},
}
