M. A. Baranov and A. S. Shvarts :
“Characteristic classes of supergauge fields ”
[Xarakteristicheskie klassj superkalibrovochnjx poley ],
Funktsional. Anal. i Prilozhen.
18 : 2
(1984 ),
pp. 53–54 .
An English translation was published in Funct. Anal. Appl. 18 :2 (1984) .
MR
745700
Zbl
0559.53017
article
People
BibTeX
@article {key745700m,
AUTHOR = {Baranov, M. A. and Shvarts, A. S.},
TITLE = {Characteristic classes of supergauge
fields [Xarakteristicheskie klassj superkalibrovochnjx
poley]},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Funktsional\cprime ny\u{\i} Analiz i
ego Prilozheniya. Akademiya Nauk SSSR},
VOLUME = {18},
NUMBER = {2},
YEAR = {1984},
PAGES = {53--54},
URL = {http://mi.mathnet.ru/faa1448},
NOTE = {An English translation was published
in \textit{Funct. Anal. Appl.} \textbf{18}:2
(1984). MR:745700. Zbl:0559.53017.},
ISSN = {0374-1990},
}
M. A. Baranov and A. S. Shvarts :
“Kogomologii supermnogoobraziy ”
[Cohomology of supermanifolds ],
Funktsional. Anal. i Prilozhen.
18 : 3
(1984 ),
pp. 69–70 .
An English translation was published in Funct. Anal. Appl. 18 :3 (1984) .
MR
757252
article
People
BibTeX
@article {key757252m,
AUTHOR = {Baranov, M. A. and Shvarts, A. S.},
TITLE = {Kogomologii supermnogoobraziy [Cohomology
of supermanifolds]},
JOURNAL = {Funktsional. Anal. i Prilozhen.},
FJOURNAL = {Funktsional\cprime ny\u{\i} Analiz i
ego Prilozheniya. Akademiya Nauk SSSR},
VOLUME = {18},
NUMBER = {3},
YEAR = {1984},
PAGES = {69--70},
URL = {http://mi.mathnet.ru/faa1477},
NOTE = {An English translation was published
in \textit{Funct. Anal. Appl.} \textbf{18}:3
(1984). MR:757252.},
ISSN = {0374-1990},
}
M. A. Baranov and A. S. Shvarts :
“Cohomology of supermanifolds ,”
Funct. Anal. Appl.
18 : 3
(1984 ),
pp. 236–238 .
English translation of Russian original published in Funktsional. Anal. i Prilozhen. 18 :3 (1984) .
Zbl
0555.58030
article
Abstract
People
BibTeX
Upon generalization to supermanifolds, the standard definition of cohomology groups of manifolds by means of the de Rham complex does not lead to interesting results. (The cohomology groups of supermanifolds so obtained are isomorphic with the cohomology groups of the underlying manifold.) In the present note we give different, less trivial generalizations of cohomology theory.
@article {key0555.58030z,
AUTHOR = {Baranov, M. A. and Shvarts, A. S.},
TITLE = {Cohomology of supermanifolds},
JOURNAL = {Funct. Anal. Appl.},
FJOURNAL = {Functional Analysis and Its Applications},
VOLUME = {18},
NUMBER = {3},
YEAR = {1984},
PAGES = {236--238},
DOI = {10.1007/BF01086162},
NOTE = {English translation of Russian original
published in \textit{Funktsional. Anal.
i Prilozhen.} \textbf{18}:3 (1984).
Zbl:0555.58030.},
ISSN = {0016-2663},
}
M. A. Baranov and A. S. Shvarts :
“Characteristic classes of supergauge fields ,”
Functional Analysis and its Applications
18 : 2
(1984 ),
pp. 130–132 .
English translation of Russian original published in Funktsional. Anal. i Prilozhen. 18 :2 (1984) .
Zbl
0573.53020
article
Abstract
People
BibTeX
In the present paper we shall construct the characteristic connection classes in vector fibers over a supermanifold, under the condition that, in a certain sense, the considered connection is not degenerate.
@article {key0573.53020z,
AUTHOR = {Baranov, M. A. and Shvarts, A. S.},
TITLE = {Characteristic classes of supergauge
fields},
JOURNAL = {Functional Analysis and its Applications},
FJOURNAL = {Funct. Anal. Appl.},
VOLUME = {18},
NUMBER = {2},
YEAR = {1984},
PAGES = {130--132},
DOI = {10.1007/BF01077824},
NOTE = {English translation of Russian original
published in \textit{Funktsional. Anal.
i Prilozhen.} \textbf{18}:2 (1984).
Zbl:0573.53020.},
ISSN = {0016-2663},
}
M. A. Baranov and A. S. Shvarts :
“Multiloop contribution to string theory ,”
JETP Lett.
42 : 8
(1985 ),
pp. 419–421 .
English translation of Russian original published in Pis’ma Zh. Eksper. Teoret. Fiz. 42 :8 (1985) .
article
Abstract
People
BibTeX
The contribution into string amplitudes from surfaces of arbitrary topology is calculated, which corresponds to the account of multiloop diagrams in the string theory. Formalism of the string theory, suggested by Polyakov, in which the calculation of loop contribution is reduced to the calculation of integrals according to a certain finite-dimensional superspace (superconformal space of \( V_{(f)} \) moduli is used). The measure of integration, appearing in the space, as well as the measure in its boson analog, appearing as a result of boson string analysis in critial dimensionality, are studied.
@article {key16232543,
AUTHOR = {Baranov, M. A. and Shvarts, A. S.},
TITLE = {Multiloop contribution to string theory},
JOURNAL = {JETP Lett.},
FJOURNAL = {JETP Letters},
VOLUME = {42},
NUMBER = {8},
YEAR = {1985},
PAGES = {419--421},
NOTE = {English translation of Russian original
published in \textit{Pis\cprime ma Zh.
Eksper. Teoret. Fiz.} \textbf{42}:8
(1985).},
ISSN = {0021-3640},
}
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},
}
M. A. Baranov and A. S. Shvarts :
“O mnogopetlevom vklade v teoriyu struny ”
[Multiloop contribution to string theory ],
Pis’ma Zh. Eksper. Teoret. Fiz.
42 : 8
(1985 ),
pp. 340–342 .
An English translation was published in JETP Lett. 42 :8 (1985) .
MR
875755
article
People
BibTeX
@article {key875755m,
AUTHOR = {Baranov, M. A. and Shvarts, A. S.},
TITLE = {O mnogopetlevom vklade v teoriyu struny
[Multiloop contribution to string theory]},
JOURNAL = {Pis\cprime ma Zh. Eksper. Teoret. Fiz.},
FJOURNAL = {Pis\cprime ma v Zhurnal Eksperimental\cprime
no\u{\i} i Teoretichesko\u{\i} Fiziki},
VOLUME = {42},
NUMBER = {8},
YEAR = {1985},
PAGES = {340--342},
NOTE = {An English translation was published
in \textit{JETP Lett.} \textbf{42}:8
(1985). MR:875755.},
ISSN = {0370-274X},
}
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},
}
M. A. Baranov, Yu. I. Manin, I. V. Frolov, and A. S. Shvarts :
“Mnogopetlevoj vklad v fermionnoj strune ”
[The multiloop contribution in the fermion string ],
Yadernaya Fiz.
43 : 4
(1986 ),
pp. 1053–1056 .
An English translation was published in Soviet J. Nuclear Phys. 43 :4 (1986) .
article
People
BibTeX
@article {key80096976,
AUTHOR = {Baranov, M. A. and Manin, Yu. I. and
Frolov, I. V. and Shvarts, A. S.},
TITLE = {Mnogopetlevoj vklad v fermionnoj strune
[The multiloop contribution in the fermion
string]},
JOURNAL = {Yadernaya Fiz.},
FJOURNAL = {Yadernaya Fizika. Akademiya Nauk SSSR},
VOLUME = {43},
NUMBER = {4},
YEAR = {1986},
PAGES = {1053--1056},
NOTE = {An English translation was published
in \textit{Soviet J. Nuclear Phys.}
\textbf{43}:4 (1986).},
ISSN = {0044-0027},
}
M. A. Baranov, Yu. I. Manin, I. V. Frolov, and A. S. Shvarts :
“The multiloop contribution in the fermion string ,”
Soviet J. Nuclear Phys.
43 : 4
(1986 ),
pp. 670–671 .
English translation of Russian original published in Yadernaya Fiz. 43 :4 (1986) .
MR
857425
article
Abstract
People
BibTeX
@article {key857425m,
AUTHOR = {Baranov, M. A. and Manin, Yu. I. and
Frolov, I. V. and Shvarts, A. S.},
TITLE = {The multiloop contribution in the fermion
string},
JOURNAL = {Soviet J. Nuclear Phys.},
FJOURNAL = {Soviet Journal of Nuclear Physics},
VOLUME = {43},
NUMBER = {4},
YEAR = {1986},
PAGES = {670--671},
NOTE = {English translation of Russian original
published in \textit{Yadernaya Fiz.}
\textbf{43}:4 (1986). MR:857425.},
ISSN = {0038-5506},
}
M. A. Baranov, I. V. Frolov, and A. S. Shvarts :
“Geometriya dvumernykh superkonformnykh teorij polya ”
[Geometry of two-dimensional superconformal field theories ],
Teor. Mat. Fiz.
70 : 1
(1987 ),
pp. 92–103 .
An English translation was published in Theor. Math. Phys. 70 :1 (1987) .
MR
883786
Zbl
0624.58002
article
People
BibTeX
@article {key883786m,
AUTHOR = {Baranov, M. A. and Frolov, I. V. and
Shvarts, A. S.},
TITLE = {Geometriya dvumernykh superkonformnykh
teorij polya [Geometry of two-dimensional
superconformal field theories]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {70},
NUMBER = {1},
YEAR = {1987},
PAGES = {92--103},
URL = {http://mi.mathnet.ru/tmf4497},
NOTE = {An English translation was published
in \textit{Theor. Math. Phys.} \textbf{70}:1
(1987). MR:883786. Zbl:0624.58002.},
ISSN = {0564-6162},
}
M. A. Baranov and A. S. Schwarz :
“On the multiloop contribution to the string theory ,”
Internat. J. Modern Phys. A
2 : 6
(1987 ),
pp. 1773–1796 .
MR
913613
article
Abstract
People
BibTeX
The supermoduli space and the measure on this space arising from fermionic string theory are studied. Analytic properties of this measure are analyzed. Our considerations, combined with previous results by Voronov, give an expression of string measure through analytic superfields and their zeros. The behavior of measure in the vicinity of the boundary of moduli space is studied on the base of this expression.
@article {key913613m,
AUTHOR = {Baranov, M. A. and Schwarz, A. S.},
TITLE = {On the multiloop contribution to the
string theory},
JOURNAL = {Internat. J. Modern Phys. A},
FJOURNAL = {International Journal of Modern Physics
A. Particles and Fields. Gravitation.
Cosmology},
VOLUME = {2},
NUMBER = {6},
YEAR = {1987},
PAGES = {1773--1796},
DOI = {10.1142/S0217751X87000922},
NOTE = {MR:913613.},
ISSN = {0217-751X},
}
M. A. Baranov, I. V. Frolov, and A. S. Shvarts :
“Geometry of superconformal field theories in two dimensions ,”
Theor. Math. Phys.
70 : 1
(1987 ),
pp. 64–72 .
English translation of Russian original published in Teor. Mat. Fiz. 70 :1 (1987) .
article
Abstract
People
BibTeX
@article {key58345010,
AUTHOR = {Baranov, M. A. and Frolov, I. V. and
Shvarts, A. S.},
TITLE = {Geometry of superconformal field theories
in two dimensions},
JOURNAL = {Theor. Math. Phys.},
FJOURNAL = {Theoretical and Mathematical Physics},
VOLUME = {70},
NUMBER = {1},
YEAR = {1987},
PAGES = {64--72},
DOI = {10.1007/BF01017011},
NOTE = {English translation of Russian original
published in \textit{Teor. Mat. Fiz.}
\textbf{70}:1 (1987).},
ISSN = {0040-5779},
}
A. Schwarz and M. Baranov :
Superconformal geometry and multiloop contribution to the string theory .
Preprint ,
MIFI (Moscow) ,
1987 .
techreport
People
BibTeX
@techreport {key68463700,
AUTHOR = {Schwarz, A.S. and M. Baranov},
TITLE = {Superconformal geometry and multiloop
contribution to the string theory},
TYPE = {preprint},
INSTITUTION = {MIFI (Moscow)},
YEAR = {1987},
PAGES = {011-87, 21 pages},
}
M. A. Baranov, I. V. Frolov, and A. S. Schwarz :
“Geometriq superkonformnogo prostranstva moduley ”
[Geometry of the superconformal moduli space ],
Teor. Mat. Fiz.
79 : 2
(1989 ),
pp. 241–252 .
An English translation was published in Theoret. and Math. Phys. 79 :2 (1989) .
MR
1007798
Zbl
0679.53058
article
People
BibTeX
@article {key1007798m,
AUTHOR = {Baranov, M. A. and Frolov, I. V. and
Schwarz, A. S.},
TITLE = {Geometriq superkonformnogo prostranstva
moduley [Geometry of the superconformal
moduli space]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {79},
NUMBER = {2},
YEAR = {1989},
PAGES = {241--252},
URL = {http://mi.mathnet.ru/tmf4873},
NOTE = {An English translation was published
in \textit{Theoret. and Math. Phys.}
\textbf{79}:2 (1989). MR:1007798. Zbl:0679.53058.},
ISSN = {0564-6162},
}
M. A. Baranov, I. V. Frolov, and A. S. Schwarz :
“Geometry of the superconformal moduli space ,”
Theoret. and Math. Phys.
79 : 2
(May 1989 ),
pp. 509–517 .
English translation of Russian original published in Teor. Mat. Fiz. 79 :2 (1989) .
Zbl
0694.53060
article
Abstract
People
BibTeX
The geometry of the moduli space of superconformal manifolds is studied in the case when the underlying manifold is compact or differs from a compact manifold by the deletion of some points. In particular, it is shown that the superanalog of the Weyl–Peterson metric is Kählerian, and the corresponding measure on the superconformal moduli space is calculated.
@article {key0694.53060z,
AUTHOR = {Baranov, M. A. and Frolov, I. V. and
Schwarz, A. S.},
TITLE = {Geometry of the superconformal moduli
space},
JOURNAL = {Theoret. and Math. Phys.},
FJOURNAL = {Theoretical and Mathematical Physics},
VOLUME = {79},
NUMBER = {2},
MONTH = {May},
YEAR = {1989},
PAGES = {509--517},
DOI = {10.1007/BF01016532},
NOTE = {English translation of Russian original
published in \textit{Teor. Mat. Fiz.}
\textbf{79}:2 (1989). Zbl:0694.53060.},
ISSN = {0040-5779},
}