19,325 research outputs found
Automorphism Group of : Applications to the Bosonic String
This paper is concerned with the formulation of a non-pertubative theory of
the bosonic string. We introduce a formal group which we propose as the
``universal moduli space'' for such a formulation. This is motivated because
establishes a natural link between representations of the Virasoro algebra
and the moduli space of curves. Among other properties of it is shown that
a ``local'' version of the Mumford formula holds on .Comment: 29 page
Hodge polynomials of the moduli spaces of pairs
Let be a smooth projective curve of genus over the complex
numbers. A holomorphic pair on is a couple , where is a
holomorphic bundle over of rank and degree , and is
a holomorphic section. In this paper, we determine the Hodge polynomials of the
moduli spaces of rank 2 pairs, using the theory of mixed Hodge structures. We
also deal with the case in which has fixed determinant.Comment: 23 pages, typos added, minor change
Nonequilibrium transitions induced by multiplicative noise
A new simple model exhibiting a noise-induced ordering transition (NIOT) and
a noise-induced disordering transition (NIDT), in which the noise is purely
multiplicative, is presented. Both transitions are found in two as well as in
one dimension (where they had not been previously reported). We show
analytically and numerically that the critical behavior of these two
transitions is described by the so called multiplicative noise(MN) universality
class. A computation of the set of critical exponents is presented in both
, and (where they have not been previously measured).Comment: 4 pages, 2 figures, Late
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