ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
Integration on supermanifolds, using contours and the covariant differential forms of Kostant [B. Kostant, "Graded manifolds, graded Lie theory and prequantisation,'' in Lecture Notes in Mathematics, Vol. 570 (Springer, Berlin, 1977)], is described; the good properties that these integrals naturally acquire are considered. It is then shown that the formal process of integration over even and odd variables introduced by Berezin [F. A. Berezin, The Method of Second Quantization (Academic, New York, 1966)] using partly covariant and partly contravariant forms can be regarded as a special case of these contour integrals over covariant forms.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527399
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