Enhancons, Fuzzy Spheres and Multi-Monopoles
Abstract
We study the `enhancon', a spherical hypersurface apparently made of D-branes, which arises in string theory studies of large N SU(N) pure gauge theories with eight supercharges. When the gauge theory is 2+1 dimensional, the enhancon is an S^2. A relation to charge N BPS multi-monopoles is exploited to uncover many of its detailed properties. It is simply a spherical slice through an Atiyah-Hitchin-like submanifold of the charge BPS monopole moduli space. In the form of Nahm data, it is built from the N dimensional irreducible representation of SU(2). In this sense the enhancon is a non-commutative sphere, reminiscent of the spherical `dielectric' branes of Myers.
Cite
@article{arxiv.hep-th/0004068,
title = {Enhancons, Fuzzy Spheres and Multi-Monopoles},
author = {Clifford V. Johnson},
journal= {arXiv preprint arXiv:hep-th/0004068},
year = {2009}
}
Comments
25 pages, latex, 3 primary figures, psfig (v2: Omission of references to important early work on multi-monopoles is fixed. Note added on possible relations to certain other recent work on large N, monopoles, and non-commutativity. A few typos fixed.) (v3: Extensive revision. Statements about role of Atiyah-Hitchin manifold and instanton corrections refined. Speculation about location of Higgs zeros removed. Discussion improved in many places.)