Realizing the Berezin Integral as a Superspace Contour Integral
Mar, 198524 pages
Published in:
- J.Math.Phys. 27 (1986) 710
DOI:
Report number:
- Print-85-0431
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Abstract: (AIP)
Integration on supermanifolds, using contours and the covariant differential forms of Kostant [B. Kostant, ‘‘Graded manifolds, graded Lie theory and prequantisation,’’ in L e c t u r e N o t e s i n M a t h e m a t i c s, 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, T h e M e t h o d o f S e c o n d Q u a n t i z a t i o n (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.- FIELD THEORY: SPACE-TIME
- SUPERSYMMETRY
- ALGEBRA: GRASSMANN
- DIFFERENTIAL GEOMETRY
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