Charged conformal Killing spinors
نویسندگان
چکیده
منابع مشابه
Skew Killing spinors
In this paper, we study the existence of a skew Killing spinor (see the definition below) on 2 and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.
متن کاملKilling Tensors and Conformal Killing Tensors from Conformal Killing Vectors
Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors exist in a given space. We give the completely general result demonstrating that this severe restriction of orthogonality is unnecessary. In addition we correct and extend some results concerning Ki...
متن کاملMathematische Zeitschrift Extrinsic Killing spinors
Under intrinsic and extrinsic curvature assumptions on a Riemannian spin manifold and its boundary, we show that there is an isomorphism between the restriction to the boundary of parallel spinors and extrinsic Killing spinors of nonnegative Killing constant. As a corollary, we prove that a complete Ricci-flat spin manifold with mean-convex boundary isometric to a round sphere, is necessarily a...
متن کاملConformal Killing Spinors and Special Geometric Structures in Lorentzian Geometry - a Survey
This paper is a survey on special geometric structures that admit conformal Killing spinors based on lectures, given at the “Workshop on Special Geometric Structures in String Theory”, Bonn, September 2001 and at ESI, Wien, November 2001. We discuss the case of Lorentzian signature and explain which geometries occur up to dimension 6.
متن کاملConformal Killing Spinors and the Holonomy Problem in Lorentzian Geometry – a Survey of New Results –
This paper is a survey of recent results about conformal Killing spinors in Lorentzian geometry based on a lecture given during the Summer Program Symmetries and Overdetermined Systems of Partial Differential Equations at IMA, Minnesota, 17.07.06 04.08.06. In particular, we will focus on a special class of geometries admitting conformal Killing spinors – on Brinkmann spaces with parallel spinor...
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: Journal of Mathematical Physics
سال: 2015
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4906069