Monopoles on SF2 from the fuzzy conifold

被引:0
|
作者
Acharyya, Nirmalendu [1 ]
Vaidya, Sachindeo [1 ]
机构
[1] Indian Inst Sci, Ctr High Energy Phys, Bangalore 560012, Karnataka, India
来源
关键词
Solitons Monopoles and Instantons; Non-Commutative Geometry; MEAN-FIELD THEORY; HEISENBERG ANTIFERROMAGNETS; INSTANTONS;
D O I
10.1007/JHEP06(2013)034
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
The intersection of the conifold z(1)(2) + z(2)(2) + z(3)(2) = 0 and S-5 is a compact 3-dimensional manifold X-3. We review the description of X-3 as a principal U(1) bundle over S-2 and construct the associated monopole line bundles. These monopoles can have only even integers as their charge. We also show the Kaluza-Klein reduction of X-3 to S-2 provides an easy construction of these monopoles. Using the analogue of the Jordan-Schwinger map, our techniques are readily adapted to give the fuzzy version of the fibration X-3 -> S-2 and the associated line bundles. This is an alternative new realization of the fuzzy sphere S-F(2) and monopoles OH it.
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页数:17
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