3-String junction and BPS saturated solutions in SU(3) supersymmetric Yang-Mills theory

Abstract

We construct BPS saturated regular configurations of N = 4 SU(3) supersymmetric Yang-Mills theory carrying non-parallel electric and magnetic charges. These field theory BPS states correspond to the string theory BPS states of 3-string junctions connecting three different D3-branes by regarding the N = 4 supersymmetric Yang-Mills theory as an effective field theory on parallel D3-branes.

Magnetic monopole dynamics, supersymmetry, and duality

“…Thus the P must commute with a everywhere and the last term in Eq. (7.1.23) drops out, yielding [179,181] Finally, recall that in Section 3.3 we showed that a 1/4-BPS solution of the N = 4 theory was obtained by requiring that all but two scalar fields vanish and that the remaining two satisfy Eq. (3.3.12).…”

Moduli space dimensions of multipronged strings

“…We will choose the simple roots β p by requiring h Ip b I β p > 0 for the maximal symmetry breaking 2 case along φ I b I . The saturation of the bound occurs if [4][5][6][7][8] where we used the Bogomol'nyi equation and the definitions of charges.…”

“…With more than two D3-branes, we can have the string junction configurations [1] that preserve only 1/4 of the supersymmetries [2,3]. The condition for the string junction configurations gives the set of field equations describing the corresponding BPS states of the gauge theory [3][4][5][6][7][8]. In addition to the first order differential equations describing the 1/2 BPS states of monopoles, the string junction needs a second order equation of the Gauss law.…”

Non-planar string networks on tori

“…Such an analysis for D3-branes has been performed in great detail, including for the case of non-abelian gauge groups etc. [9][10][11]. We expect that, same should be possible for these U2-branes as well.…”