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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 3, Pages 355–372
DOI: https://doi.org/10.4213/tmf644 (Mi tmf644) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A Kähler structure of the triplectic geometry

M. A. Grigoriev, A. M. Semikhatov

P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (298 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf644
Abstract: We study the geometry of the triplectic quantization of gauge theories. We show that the triplectic geometry is determined by the geometry of a Kähler manifold $\mathcal N$ endowed with a pair of transversal polarizations. The antibrackets can be brought to the canonical form if and only if $\mathcal N$ admits a flat symmetric connection that is compatible with the complex structure and the polarizations.
Received: 31.01.2000
English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 3, Pages 1157–1171
DOI: https://doi.org/10.1007/BF02550995
Bibliographic databases:
Language: Russian
Citation: M. A. Grigoriev, A. M. Semikhatov, “A Kähler structure of the triplectic geometry”, TMF, 124:3 (2000), 355–372; Theoret. and Math. Phys., 124:3 (2000), 1157–1171
Citation in format AMSBIB
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\by M.~A.~Grigoriev, A.~M.~Semikhatov
\paper A K\"ahler structure of the triplectic geometry
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\yr 2000
\vol 124
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\pages 1157--1171
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:73
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