A Note on Higher Dimensional Instantons and Supersymmetric Cycles

スポンサーリンク

概要

• 論文の詳細を見る

• We discuss instantons in dimensions higher than four. A generalized self-dual or antiself-dual instanton equation in n-dimensions can be defined in terms of a closed (n-4) form Ω and it was recently employed as a topological gauge fixing condition in higher dimensional generalizations of cohomological Yang-Mills theory. When Ω is a calibration which is naturally introduced on the manifold of special holonomy, we argue that higher dimensional instanton may be locally characterized as a family of four dimensional instantons over a supersymmetric (n-4) cycle Σ with respect to the calibration Ω. This is an instanton configuration on the total space of the normal bundle N(Σ) of the submanifold Σ and regarded as a natural generalization of point-like instanton in four dimensions that plays a distinguished role in a compactification of instanton moduli space.

• 理論物理学刊行会の論文
• 1999-10-15

著者

• Kanno H

  Department Of Mathematics Faculty Of Science Hiroshima University

• KANNO Hiroaki

  Department of Mathematics, Faculty of Science Hiroshima University

関連論文

• A Note on Higher Dimensional Instantons and Supersymmetric Cycles
• Topological Strings, Integrable Systems and Cohomology of the Grassmannian
• 13 ASSESSMENT OF THE COURSE OF BMI FROM INFANCY TO CHILDHOOD : ARE THERE ANY PROPERTIES OF ADIPOSE DEVELOPMENT THAT PREDISPOSE TO OBESITY ?

スポンサーリンク