Submissions from V. Aurov

[1]  faKiv:2405.08174 [pdf]

Boundary condition for the $SU(2)$ duality in the presence of $U(1)$ gauge fields

Y. V. Krasnov, V. Aurov, S. M. T. T. Kocic

Comments: 9 pages, 4 figures

We consider $SU(2)$ dualities in the presence of $U(1)$ gauge fields. We introduce the concept of "boundary condition" in which initial conditions are taken as coordinates in the three-point function of the dualities. We show that in the presence of gauge fields we can obtain the ground state of the $SU(2)$ duality to any order in the gauge transformation. We also show that the boundary condition for the $SU(2)$ duality is an algebraic expression for the two-point function of the dualities. We conjecture that the ground state of the $SU(2)$ duality is a monodromy of the $SU(2)$ gauge fields.