Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory

Details Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory

2008-04-17

arxiv.org/abs/0804.2902v2

Physics

High Energy Physics

High Energy Physics - Theory

88 pp, additional references and enhanced analysis of Nahm's equations

Scientific paper

10.1007/s10955-009-9687-3

We study boundary conditions in N=4 super Yang-Mills theory that preserve one-half the supersymmetry. The obvious Dirichlet boundary conditions can be modified to allow some of the scalar fields to have a ``pole'' at the boundary. The obvious Neumann boundary conditions can be modified by coupling to additional fields supported at the boundary. The obvious boundary conditions associated with orientifolds can also be generalized. In preparation for a separate study of how electric-magnetic duality acts on these boundary conditions, we explore moduli spaces of solutions of Nahm's equations that appear in the presence of a boundary. Though our main interest is in boundary conditions that are Lorentz-invariant (to the extent possible in the presence of a boundary), we also explore non-Lorentz-invariant but half-BPS deformations of Neumann boundary conditions. We make preliminary comments on the action of electric-magnetic duality, deferring a more serious study to a later paper.

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