Abstract
In this paper, we investigate the 1/4 BPS Wilson-’t Hooft loops in $$ \mathcal{N}=4 $$ 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 κ-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.
Highlights
These fundamental strings sweep out a worldsheet in AdS side
In this paper, we investigate the 1/4 BPS Wilson-’t Hooft loops in N =4 supersymmetric Yang-Mills theory
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
Summary
The 1/4 BPS Wilson loops can be constructed by Wilson loops with two insertions [31]. In the dual string theory on AdS5 × S5, the 1/4 BPS Wilson loops in supergravity extend to the two lines on the boundary which one line run up and another line run down at antipodal point on the R × S3 boundary with one of the insertions to the infinite past and the other one to future infinity in global Lorentzian AdS5. The equations of motion are ρ′′ − ω2 cosh ρ sinh ρ = 0, θ′′ + ω12 cos θ sin θ = 0 This solution satisfies the correct boundary condition. Where ǫ0 is a constant chiral complex 16-component spinor Pt σmax dσ cosh[2] ρt = J The string and some D3-brane solutions for 1/4 BPS Wilson loops can be found from the supersymmetry conditions [32]. We study the 1/4 BPS Wilson-’t Hooft loops using D3-branes with both electric and magnetic charges on its world-volume
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