منابع مشابه
On orbifold elliptic genus
Elliptic genus was derived as the partition function in quantum field theory [26]. Mathematically it is the beautiful combination of topology of manifolds, index theory and modular forms (cf. [15], [10]). Elliptic genus for smooth manifolds has been well-studied. Recently, Borisov and Libgober ([3], [4]) proposed some definitions of elliptic genus for certain singular spaces, especially for com...
متن کاملFunctional Equations and the Generalised Elliptic Genus
We give a new derivation and characterisation of the generalised elliptic genus of Krichever-Höhn by means of a functional equation. Introduction Functional equations provide a common thread to several investigations in mathematics and physics: our focus in this article will particularly be on the areas of topology and integrable systems where it is still unclear whether the threads before us f...
متن کاملThe Elliptic Genus and Hidden Symmetry
We study the elliptic genus (a partition function) in certain interacting, twist quantum field theories. Without twists, these theories have N = 2 supersymmetry. The twists provide a regularization, and also partially break the supersymmetry. In spite of the regularization, one can establish a homotopy of the elliptic genus in a coupling parameter. Our construction relies on a priori estimates ...
متن کاملWZW models and the elliptic genus
Witten recently gave further evidence for the conjectured relationship between the A series of the N = 2 minimal models and certain Landau-Ginzburg models by computing the elliptic genus for the latter. The results agree with those of the N = 2 minimal models, as can be calculated from the known characters of the discrete series representations of the N = 2 superconformal algebra. The N = 2 min...
متن کاملPositive curvature and the elliptic genus
We prove some results about the vanishing of the elliptic genus on positively curved Spin manifolds with logarithmic symmetry rank. The proofs are based on the rigidity of the elliptic genus and Kennard’s improvement of the Connectedness Lemma for transversely intersecting, totally geodesic submanifolds.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1994
ISSN: 0370-2693
DOI: 10.1016/0370-2693(94)90516-9