BERING LARSEN, Klaus. Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry. Journal of Mathematical Physics. USA: American Institute of Physics, 2008, roč. 2008, 49 043516, s. 1-31. ISSN 0022-2488. Dostupné z: https://dx.doi.org/10.1063/1.2890672. |
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@article{720257, author = {Bering Larsen, Klaus}, article_location = {USA}, article_number = {49 043516}, doi = {http://dx.doi.org/10.1063/1.2890672}, keywords = {Batalin-Vilkovisky Field-Antifield Formalism; Odd Laplacian; Anti-Poisson Geometry; Semidensity; Second-Class Constraints; Conversion.}, language = {eng}, issn = {0022-2488}, journal = {Journal of Mathematical Physics}, title = {Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry}, url = {http://arxiv.org/abs/0705.3440}, volume = {2008}, year = {2008} }
TY - JOUR ID - 720257 AU - Bering Larsen, Klaus PY - 2008 TI - Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry JF - Journal of Mathematical Physics VL - 2008 IS - 49 043516 SP - 1-31 EP - 1-31 PB - American Institute of Physics SN - 00222488 KW - Batalin-Vilkovisky Field-Antifield Formalism KW - Odd Laplacian KW - Anti-Poisson Geometry KW - Semidensity KW - Second-Class Constraints KW - Conversion. UR - http://arxiv.org/abs/0705.3440 N2 - We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator \Delta_E in the case of a degenerate anti-Poisson manifold. The characteristic feature of such an operator (aside from being a Grassmann-odd, nilpotent, second-order differential operator) is that it sends semidensities to semidensities. We find a local formula for the \Delta_E operator in arbitrary coordinates. As an important application of this setup, we consider the Dirac antibracket on an antisymplectic manifold with antisymplectic second-class constraints. We show that the entire Dirac construction, including the corresponding Dirac BV operator \Delta_{E_D}, exactly follows from conversion of the antisymplectic second-class constraints into first-class constraints on an extended manifold. ER -
BERING LARSEN, Klaus. Semidensities, Second-Class Constraints and Conversion in Anti-Poisson Geometry. \textit{Journal of Mathematical Physics}. USA: American Institute of Physics, 2008, roč.~2008, 49 043516, s.~1-31. ISSN~0022-2488. Dostupné z: https://dx.doi.org/10.1063/1.2890672.
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