O. M. Khudaverdian and A. S. Schwarz :
“A few comments on the string representation of gauge fields Phys. Lett. B
91 : 1
(March 1980 ),
pp. 107–110 .
article
Abstract
People
BibTeX
@article {key30667094,
AUTHOR = {Khudaverdian, O. M. and Schwarz, A.
S.},
TITLE = {A few comments on the string representation
of gauge fields},
JOURNAL = {Phys. Lett. B},
FJOURNAL = {Physics Letters B},
VOLUME = {91},
NUMBER = {1},
MONTH = {March},
YEAR = {1980},
PAGES = {107--110},
DOI = {10.1016/0370-2693(80)90672-3},
ISSN = {0370-2693},
}
O. M. Khudaverdyan and A. S. Shvarts :
“Multiplicative functionals and gauge fields Theor. Math. Phys.
46 : 2
(February 1981 ),
pp. 124–132 .
English translation of Russian original published in Teor. Mat. Fiz. 46 :2 (1981)
article
Abstract
People
BibTeX
@article {key16115548,
AUTHOR = {Khudaverdyan, O. M. and Shvarts, A.
S.},
TITLE = {Multiplicative functionals and gauge
fields},
JOURNAL = {Theor. Math. Phys.},
FJOURNAL = {Theoretical and Mathematical Physics},
VOLUME = {46},
NUMBER = {2},
MONTH = {February},
YEAR = {1981},
PAGES = {124--132},
DOI = {10.1007/BF01030846},
NOTE = {English translation of Russian original
published in \textit{Teor. Mat. Fiz.}
\textbf{46}:2 (1981).},
ISSN = {0040-5779},
}
O. M. Hudaverdjan and A. S. Švarc :
“Multiplicative functionals and gauge fields Mul’tiplikativnje funkcionalj i kalibrovochnje polq ],
Teor. Mat. Fiz.
46 : 2
(1981 ),
pp. 187–198 .
An English translation was published in Theor. Math. Phys. 46 :2 (1981)
MR
612954 article
People
BibTeX
@article {key612954m,
AUTHOR = {Hudaverdjan, O. M. and \v{S}varc, A.
S.},
TITLE = {Multiplicative functionals and gauge
fields [Mul\cprime tiplikativnje funkcionalj
i kalibrovochnje polq]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {46},
NUMBER = {2},
YEAR = {1981},
PAGES = {187--198},
URL = {http://mi.mathnet.ru/tmf2313},
NOTE = {An English translation was published
in \textit{Theor. Math. Phys.} \textbf{46}:2
(1981). MR:612954.},
ISSN = {0564-6162},
}
O. M. Khudaverdian, A. S. Schwarz, and Yu. S. Tyupkin :
“Integral invariants for supercanonical transformations Lett. Math. Phys.
5 : 6
(1981 ),
pp. 517–522 .
MR
637632 Zbl
0521.58054 article
People
BibTeX
@article {key637632m,
AUTHOR = {Khudaverdian, O. M. and Schwarz, A.
S. and Tyupkin, Yu. S.},
TITLE = {Integral invariants for supercanonical
transformations},
JOURNAL = {Lett. Math. Phys.},
FJOURNAL = {Letters in Mathematical Physics},
VOLUME = {5},
NUMBER = {6},
YEAR = {1981},
PAGES = {517--522},
DOI = {10.1007/BF00408133},
NOTE = {MR:637632. Zbl:0521.58054.},
ISSN = {0377-9017},
}
A. V. Gaĭduk, O. M. Khudaverdyan, and A. S. Shvarts :
“Integrirovanie po poverxnostqm v superprostranstve Integration over surfaces in superspace ],
Teor. Mat. Fiz.
52 : 3
(1982 ),
pp. 375–383 .
An English translation was published in Theor. Math. Phys. 52 :3 (1982)
MR
692929 article
People
BibTeX
@article {key692929m,
AUTHOR = {Ga\u{\i}duk, A. V. and Khudaverdyan,
O. M. and Shvarts, A. S.},
TITLE = {Integrirovanie po poverxnostqm v superprostranstve
[Integration over surfaces in superspace]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {52},
NUMBER = {3},
YEAR = {1982},
PAGES = {375--383},
URL = {http://mi.mathnet.ru/tmf2560},
NOTE = {An English translation was published
in \textit{Theor. Math. Phys.} \textbf{52}:3
(1982). MR:692929.},
ISSN = {0564-6162},
}
A. V. Gaĭduk, O. M. Khudaverdyan, and A. S. Shvarts :
“Integration over surfaces in superspace Theor. Math. Phys.
52 : 3
(1982 ),
pp. 862–868 .
English translation of Russian original published in Teor. Mat. Fiz. 52 :3 (1982)
Zbl
0513.58015 article
Abstract
People
BibTeX
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.
@article {key0513.58015z,
AUTHOR = {Ga\u{\i}duk, A. V. and Khudaverdyan,
O. M. and Shvarts, A. S.},
TITLE = {Integration over surfaces in superspace},
JOURNAL = {Theor. Math. Phys.},
FJOURNAL = {Theoretical Mathematics and Physics},
VOLUME = {52},
NUMBER = {3},
YEAR = {1982},
PAGES = {862--868},
DOI = {10.1007/BF01038080},
NOTE = {English translation of Russian original
published in \textit{Teor. Mat. Fiz.}
\textbf{52}:3 (1982). Zbl:0513.58015.},
ISSN = {0040-5779},
}
O. M. Khudaverdyan and A. S. Shvarts :
“Normal gauge in supergravity Theor. Math. Phys.
57 : 3
(1983 ),
pp. 1189–1195 .
English translation of Russian original published in Teoret. Mat. Fiz. 57 :3 (1983)
article
Abstract
People
BibTeX
@article {key82782293,
AUTHOR = {Khudaverdyan, O. M. and Shvarts, A.
S.},
TITLE = {Normal gauge in supergravity},
JOURNAL = {Theor. Math. Phys.},
FJOURNAL = {Theoretical Mathematics and Physics},
VOLUME = {57},
NUMBER = {3},
YEAR = {1983},
PAGES = {1189--1195},
DOI = {10.1007/BF01018745},
NOTE = {English translation of Russian original
published in \textit{Teoret. Mat. Fiz.}
\textbf{57}:3 (1983).},
ISSN = {0040-5779},
}
O. M. Khudaverdyan and A. S. Shvarts :
“Normal’naq kalibrovka v supergravitacii Normal gauge in supergravity ],
Teor. Mat. Fiz.
57 : 3
(1983 ),
pp. 354–362 .
An English translation was published in Theor. Math. Phys. 57 :3 (1983)
MR
735394 article
People
BibTeX
@article {key735394m,
AUTHOR = {Khudaverdyan, O. M. and Shvarts, A.
S.},
TITLE = {Normal\cprime naq kalibrovka v supergravitacii
[Normal gauge in supergravity]},
JOURNAL = {Teor. Mat. Fiz.},
FJOURNAL = {Teoreticheskaya i Matematicheskaya Fizika.
Akademiya Nauk SSSR},
VOLUME = {57},
NUMBER = {3},
YEAR = {1983},
PAGES = {354--362},
URL = {http://mi.mathnet.ru/tmf2267},
NOTE = {An English translation was published
in \textit{Theor. Math. Phys.} \textbf{57}:3
(1983). MR:735394.},
ISSN = {0564-6162},
}
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. 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},
}
