Comment on noncommutative deformation of instantons

JOURNAL OF GEOMETRY AND PHYSICS

卷:59

Editorial Material

Tian, Yu^1,2 

[1] Chinese Acad Sci, Grad Univ, Coll Phys Sci, Beijing 100049, Peoples R China

[2] CAS, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China

关键词: Noncommutative geometry;    Yang-Mills theory;    Instanton;   

DOI  :  10.1016/j.geomphys.2009.03.005

来源: Elsevier

【 摘 要 】

it was argued in [Y. Maeda, A. Sako, Noncommutative deformation of instantons, J. Geom. Phys. 58 (2008) 1784] that the noncommutative deformation of instantons on a 4-torus T(4) should alter the instanton numbers for arbitrary noncommutativity parameter theta. We show that this is not the case for the U(N(2)) theory discussed there. And we discuss the instanton numbers in general gauge theories on the noncommutative T(4). (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free