A Note on Semidensities in Antisymplectic Geometry
نویسنده
چکیده
We revisit Khudaverdian’s geometric construction of an odd nilpotent operator ∆E that sends semidensities to semidensities on an antisymplectic manifold. We find a local formula for the ∆E operator in arbitrary coordinates and we discuss its connection to Batalin-Vilkovisky quantization. MCS number(s): 53A55; 58A50; 58C50; 81T70.
منابع مشابه
ar X iv : 0 70 5 . 34 40 v 3 [ he p - th ] 2 5 A pr 2 00 8 Semidensities , Second - Class Constraints and Conversion in Anti - Poisson Geometry
We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator ∆ 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 semi-densities to semidensities. We find a local formula for the ∆ E operator in arbitrary coordinates. As an imp...
متن کاملar X iv : 0 70 5 . 34 40 v 1 [ he p - th ] 2 3 M ay 2 00 7 Semidensities , Second - Class Constraints and Conversion in Anti - Poisson Geometry
We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator ∆ 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 semi-densities to semidensities. We find a local formula for the ∆ E operator in arbitrary coordinates. As an imp...
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We consider Khudaverdian's geometric version of a Batalin-Vilkovisky (BV) operator ∆ 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 semi-densities to semidensities. We find a local formula for the ∆ E operator in arbitrary coordinates. As an imp...
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