منابع مشابه
New Fields on Super Riemann Surfaces
A new (1, 1)-dimensional super vector bundle which exists on any super Riemann surface is described. Cross-sections of this bundle provide a new class of fields on a super Riemann surface which closely resemble holomorphic functions on a super Riemann surface, but which (in contrast to the case with holomorphic functions) form spaces which have a well defined dimension which does not change as ...
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The “new fields” or “superconformal functions” on N = 1 super Riemann surfaces introduced recently by Rogers and Langer are shown to coincide with the Abelian differentials (plus constants), viewed as a subset of the functions on the associated N = 2 super Riemann surface. We confirm that, as originally defined, they do not form a super vector space. It has been known for some time that the glo...
متن کاملLine Bundles on Super Riemann Surfaces
We give the elements of a theory of line bundles, their classification, and their connec-tions on super Riemann surfaces. There are several salient departures from the classicalcase. For example, the dimension of the Picard group is not constant, and there is nonatural hermitian form on Pic. Furthermore, the bundles with vanishing Chern numberaren’t necessarily flat, nor can every such bundle b...
متن کاملSuper-liouville Equations on Closed Riemann Surfaces
Motivated by the supersymmetric extension of Liouville theory in the recent physics literature, we couple the standard Liouville functional with a spinor field term. The resulting functional is conformally invariant. We study geometric and analytic aspects of the resulting Euler-Lagrange equations, culminating in a blow up analysis.
متن کاملSuper Riemann Surfaces: Uniformization and Teichmiiller Theory
Teichmiiller theory for super Riemann surfaces is rigorously developed using the supermanifold theory" of Rogers. In the case of trivial topology in the soul directions, relevant for superstring applications, the following results are proven. The super Teichmiiller space is a complex super-orbifold whose body is the ordinary Teichmiiller space of the associated Riemann surfaces with spin struct...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1995
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/12/10/018