Enhancons, Fuzzy Spheres and Multi-Monopoles

Physics – High Energy Physics – High Energy Physics - Theory

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25 pages, latex, 3 primary figures, psfig (v2: Omission of references to important early work on multi-monopoles is fixed. Not

Scientific paper

10.1103/PhysRevD.63.065004

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 $N$ 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.

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