Celebratio Mathematica — Schwarz — Complete Bibliography

Complete Bibliography

Works connected to Revaz Valerianovich Gamkrelidze

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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

Revaz Valerianovich Gamkrelidze	Related
Gennady Markovich Khenkin	Related
Aleksei A. Rosly	Related
Hovhannes M. Khudaverdian	Related

A. A. Roslyĭ, O. M. Khudaverdyan, and A. S. Shvarts: “Supersymmetry and complex geometry,” pp. 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

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.

Revaz Valerianovich Gamkrelidze	Related
Gennady Markovich Khenkin	Related
Aleksei A. Rosly	Related
Hovhannes M. Khudaverdian	Related