Abelian conformal field theory and $N = 2$ supercurves
نویسندگان
چکیده
منابع مشابه
N ov 2 00 6 Abelian Conformal Field Theory and Determinant Bundles
Following [KNTY] we study a so-called bc-ghost system of zero conformal dimension from the viewpoint of [TUY] and [U2]. We show that the ghost vacua construction results in holomorphic line bundles with connections over holomorphic families of curves. We prove that the curvature of these connections are up to a scale the same as the curvature of the connections constructed in [TUY] and [U2]. We...
متن کاملA / 0 30 41 35 v 2 8 N ov 2 00 6 Abelian Conformal Field Theory and Determinant Bundles ∗
Following [KNTY] we study a so-called bc-ghost system of zero conformal dimension from the viewpoint of [TUY] and [U2]. We show that the ghost vacua construction results in holomorphic line bundles with connections over holomorphic families of curves. We prove that the curvature of these connections are up to a scale the same as the curvature of the connections constructed in [TUY] and [U2]. We...
متن کاملAbelian Sandpile Model: a Conformal Field Theory Point of View
In this paper we derive the scaling fields in c = −2 conformal field theory associated with weakly allowed clusters in abelian sandpile model and show a direct relation between the two models.
متن کاملOperads and Conformal Field Theory Lecture 1: Conformal Field Theory
Physicists have developed very advanced methods to compute such integrals. For example, the famous Feynman diagram technique allows us to compute the above integral for a rather particular function S(x), a small perturbation of a positive de nite quadratic form in R . Sometimes, elaborate techniques of physicists to compute simple things nd an amazing application to very general things in mathe...
متن کاملAbelian Conformal Field theories and Determinant Bundles
The present paper is the first in a series of papers, in which we shall construct modular functors and Topological Quantum Field Theories from the conformal field theory developed in [TUY]. The basic idea is that the covariant constant sections of the sheaf of vacua associated to a simple Lie algebra over Teichmüller space of an oriented pointed surface gives the vector space the modular functo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1995
ISSN: 2156-2261
DOI: 10.1215/kjm/1250518649