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 $N$ 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.

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.)

References in corpus (7)

• Dielectric-Branes
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Gauge Theory and the Excision of Repulson Singularities
• Orientifolds, M-Theory, and the ABCD's of the Enhancon
• String Creation and Monodromy from Fractional D-branes on ALE spaces
• Infra-red fixed points at the boundary
• From SYM Perturbation Theory to Closed Strings in Matrix Theory

Cited by in corpus (15)

• The Enhancon and the Consistency of Excision
• Is a classical description of stable non-BPS D-branes possible?
• N=2 Gauge Theories and Systems with Fractional Branes
• Entanglement-guided architectures of machine learning by quantum tensor network
• Matrix dynamics of fuzzy spheres
• Inside an Enhancon: Monopoles and Dual Yang-Mills Theory
• A new wrinkle on the enhancon
• Topological Transitions and Enhancon-like Geometries in Calabi-Yau Compactifications of M-Theory
• Oblate, Toroidal, and Other Shapes for the Enhancon
• Moduli Space Metric of N=2 Supersymmetric SU(N) Gauge Theory and the Enhancon
• On the gauge invariance and coordinate transformations of non-Abelian D-brane actions
• The stability of the shell of D6-D2 branes in a $\mathcal{N}=2$ supergravity solution
• The Heterotic Enhancon
• Wrapped D-Branes as BPS Monopoles: The Moduli Space Perspective
• The Yang Monopole in IIA Superstring: Multi-charge Disease and Enhancon Cure