76 research outputs found
Second N=1 Superanalog of Complex Structure
We found another N=1 odd superanalog of complex structure (the even one is
widely used in the theory of super Riemann surfaces). New N=1
superconformal-like transformations are similar to anti-holomorphic ones of
nonsupersymmetric complex function theory. They are dual to the ordinary
superconformal transformations subject to the Berezinian addition formula
presented, noninvertible, highly degenerated and twist parity of the tangent
space in the standard basis. They also lead to the ''mixed cocycle condition''
which can be used in building noninvertible objects analogous to super Riemann
surfaces. A new parametrization for the superconformal group is presented which
allows us to extend it to a semigroup and to unify the description of old and
new transformations.Comment: 9 pages, Standard LaTe
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