On some 1/4 BPS Wilson-'t Hooft loops
Chang-Yong Liu, Li Qin
TL;DR
This paper studies 1/4 BPS Wilson-'t Hooft loops in N=4 super Yang-Mills theory using D3-brane solutions with electric and magnetic charges, deriving supersymmetric configurations and calculating their conserved charges and expectation values.
Contribution
It introduces a method to describe 1/4 BPS Wilson-'t Hooft loops via D3-brane solutions with both electric and magnetic charges, deriving supersymmetric conditions and computing physical quantities.
Findings
Derived D3-brane supersymmetric solutions with electric and magnetic charges.
Calculated conserved charges for straight 1/4 BPS Wilson-'t Hooft loops.
Computed expectation values for circular 1/4 BPS Wilson-'t Hooft loops.
Abstract
In this paper, we investigate the 1/4 BPS Wilson-'t Hooft loops in =4 supersymmetric Yang-Mills theory. We use the bulk D3-brane solutions with both electric and magnetic charges on its world-volume to describe some of 1/4 BPS Wilson-'t Hooft loops. The D3-brane supersymmetric solutions are derived form requiring -symmetry. We find the two consistent constraints for Killing spinors and calculate the conserved charges of straight 1/4 BPS Wilson-'t Hooft loops and expectation values of circular 1/4 BPS Wilson-'t Hooft loops separately.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Nonlinear Waves and Solitons · Particle physics theoretical and experimental studies