Anomalies from Immersions
نویسنده
چکیده
Two forms of anomalies for chiral spinors living on submanifolds of the space-time are obtained from the integrality theorem for immersions. The first form of the chiral anomaly is the usual for chiral spinors living on D-brane and O-plane intersections, the second form is exotic.
منابع مشابه
Quadratic Differentials, Quaternionic Forms, and Surfaces
In this paper we address three problems stemming from the fundamental question: Let M be an oriented surface, how much data do we need to identify an immersion f : M → R or its shape? A generic immersion f is determined up to homothety and translation by its conformal class and its tangent plane map Tf : M → Gr(2, 3) whose value Tf (p) at each point p ∈ M is the plane tangent to the image surfa...
متن کاملInvariants of Generic Immersions
An immersion of a smooth manifold M into a smooth manifold W is a smooth map with everywhere injective differential. Two immersions are regularly homotopic if they can be connected by a continuous 1-parameter family of immersions. An immersion is generic if all its self-intersections are transversal. In the space F of immersions M → W , generic immersions form an open dense subspace. Its comple...
متن کاملOn Conformal Biharmonic Immersions
This paper studies conformal biharmonic immersions. We first study the transformations of Jacobi operator and the bitension field under conformal change of metrics. We then obtain an invariant equation for a conformal biharmonic immersion of a surface into Euclidean 3-space. As applications, we construct a 2-parameter family of non-minimal conformal biharmonic immersions of cylinder into R and ...
متن کاملAn Existence Theorem for G-structure Preserving Affine Immersions
We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian geometry, including the case of isometric immersions into Lie groups endowed with a left-invariant metric, and the case of isometric immersions into products of space forms.
متن کاملA Loop Group Formulation for Constant Curvature Submanifolds of Pseudo-euclidean Space
We give a loop group formulation for the problem of isometric immersions with flat normal bundle of a simply connected pseudo-Riemannian manifold M c,r, of dimension m, constant sectional curvature c 6= 0, and signature r, into the pseudo-Euclidean space R s , of signature s ≥ r. In fact these immersions are obtained canonically from the loop group maps corresponding to isometric immersions of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008