Space-time foam from non-commutative instantons

被引：15
|
作者：
Braden, HW [1 ]
Nekrasov, NA
机构：
[1] Univ Edinburgh, Dept Math & Stat, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Princeton Univ, Joseph Henry Labs, Princeton, NJ 08544 USA
[3] Inst Theoret & Expt Phys, Moscow 117259, Russia
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2004年 / 249卷 / 03期
关键词：
D O I：
10.1007/s00220-004-1127-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that a U(1) instanton on non-commutative R-4 corresponds to a non-singular U(1) gauge field on a commutative Kahler manifold X which is a blowup of C-2 at a finite number of points. This gauge field on X obeys Maxwell's equations in addition to the susy constraint F-0,F-2=0. For instanton charge k the manifold X can be viewed as a space-time foam with b(2)similar tok. A direct connection with integrable systems of Calogero-Moser type is established. We also make some comments on the non-abelian case.
引用
收藏
页码：431 / 448
页数：18
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