Monopoles on S-F(2) from the fuzzy conifold

Acharyya, Nirmalendu and Vaidya, Sachindeo (2013) Monopoles on S-F(2) from the fuzzy conifold. In: JOURNAL OF HIGH ENERGY PHYSICS (6).

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Abstract

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.

Item Type:	Journal Article
Publication:	JOURNAL OF HIGH ENERGY PHYSICS
Publisher:	SPRINGER
Additional Information:	Copyright of this article is belongs to SPRINGER
Keywords:	Solitons Monopoles and Instantons; Non-Commutative Geometry
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	02 Oct 2013 06:08
Last Modified:	02 Oct 2013 06:08
URI:	http://eprints.iisc.ac.in/id/eprint/47369

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