Volume 127, Number 3, August 2019
|Number of page(s)||7|
|Section||The Physics of Elementary Particles and Fields|
|Published online||27 September 2019|
Magnetic charge quantization from SYM considerations
Department of Physics, School of Sciences, Tarbiat Modares University - P.O.Box 14155-4838, Tehran, Iran
Received: 12 May 2019
Accepted: 28 June 2019
An intersecting D3-D3′ system contains magnetic monopole solutions due to D-strings stretched between two branes. These magnetic charges satisfy the usual Dirac quantization relation. We show that this quantization condition can also be obtained directly by SUSY and gauge invariance arguments of the theory and conclude that the independence of physics from a shift of holonomy is exactly equivalent to regarding a Fayet-Iliopoulos (FI) gauge for our set-up. So we are led to conjecture that there is a correspondence between the topological point of view of magnetic charges and SYM considerations of their theories. This picture implies that one can attribute a definite quantity to the integration of the vector multiplet over the singular region such that we can identify it with magnetic flux. It also indicates that the FI parameter is proportional to the magnetic charge so it is a quantized number.
PACS: 11.30.Pb – Supersymmetry / 14.80.Hv – Magnetic monopoles / 02.40.-k – Geometry, differential geometry, and topology
© EPLA, 2019
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