A Monopole Instanton-Like Effect in the ABJM Model

Details A Monopole Instanton-Like Effect in the ABJM Model A Monopole Instanton-Like Effect in the ABJM Model

2011-06-05

arxiv.org/abs/1106.0907v2

Int.J.Mod.Phys.A26:3259-3273,2011

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, minor changes of some formulas, few typos fixed, and a reference added

Scientific paper

10.1142/S0217751X11053833

Making use of ansatzs for the form fields in the 10d type IIA supergravity version of the ABJM model, we come with a solution in the Euclidean signature recognized as a monopole instanton-like object. Indeed we will see that we can have a (anti) self-dual solution at a special limit. While as a topological object, its back-reaction on the original background should be ignorable, we show the energy-momentum tensors vanish exactly. On the field theory side, the best counterpart is an U(1) gauge field of a gauge transformation. To adjust with bulk, the gauge field must prompt to a dynamic one without adding any kinetic term for this dual photon except a marginal, abelian AB-type Chern-Simons term on the boundary. We will see how both side solutions match next to another confirmation from some earlier works of this vortex-particle duality.

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