Duality rotations and BPS monopoles with space and time noncommutativity

被引:11
作者
Aschieri, P [1 ]
机构
[1] Univ Munich, Sekt Phys, D-80333 Munich, Germany
关键词
duality; Born-Infeld; noncommutative gauge theory; monopoles;
D O I
10.1016/S0550-3213(01)00471-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We show that noncommutative electromagnetism and Dirac-Born-Infeld (DBI) theory with scalar fields are SL(2, R) self-dual when noncommutativity is light-like and we are in the slowly varying field approximation. This follows from SL(2, R) self-duality of the commutative DBI Lagrangian and of its zero slope limit that we study in detail. We study a symmetry of noncommutative static configurations that maps space-noncommutativity into space-time (and light-like) noncommutativity. SL(2, R) duality is thus extended to space-noncommutativity. Via Seiberg-Witten map we study the nontrivial action of this symmetry on commutative DBI theory. In particular space-time noncommutative BPS magnetic monopoles corresponds to commutative BPS type magnetic monopoles with both electric and magnetic B-field background. Energy, charge and tension of these configurations are computed and found in agreement with that of a D1-string D3-brane system. We discuss the dual string-brane configuration. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:321 / 347
页数:27
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