2000/04/30 by Clifford V. Johnson · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1103/physrevd.63.065004
published as Phys.Rev. D63 (2001) 065004 · 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.)
arxiv created 2000/08/22 · openalex publication_date 2001/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the ``enhan\ifmmode \mbox\cc\else \cc\fion,'' 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 enhan\ifmmode \mbox\cc\else \cc\fion is an S2. A relation to charge N BPS multimonopoles 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 enhan\ifmmode \mbox\cc\else \cc\fion is a non-commutative sphere, reminiscent of the spherical ``dielectric'' branes of Myers.