Abstract
We consider Hanany-Witten setups of 3- and 5-branes in type IIB string theory that realize $$ \mathcal{N}=\left(1,0\right) $$ , (2, 0) and (1, 1) gauged WZW models in 1 + 1 dimensions. The gauged WZW models arise as theories residing on the boundary of D3 branes ending on D5 branes. From the point of view of low energy dynamics the D5 branes play the role of half-BPS co-dimension-1 defects (domain walls) in 3d $$ \mathcal{N}=1 $$ or $$ \mathcal{N}=2 $$ Chern-Simons theories. Extending the analysis of previous works on the subject of boundary conditions in (supersymmetric) Chern-Simons theory, we discuss in detail the field theory construction of a large class of Chern-Simons domain wall theories and its embedding in open string dynamics. Finally, we exhibit how standard brane moves that result to 3d Seiberg duality, translate in our setup to a generalized level-rank duality in gauged-WZW models.
Highlights
The gauged WZW models arise as theories residing on the boundary of D3 branes ending on D5 branes
From the point of view of low energy dynamics the D5 branes play the role of half-BPS co-dimension-1 defects in 3d N = 1 or N = 2 Chern-Simons theories
Extending the analysis of previous works on the subject of boundary conditions in Chern-Simons theory, we discuss in detail the field theory construction of a large class of Chern-Simons domain wall theories and its embedding in open string dynamics
Summary
This table lists the number and type of branes involved and the directions along which they are extended. The notation D3± and 2± denotes that the D3-branes are extended along the half-line x2 > 0 for +, and x2 < 0 for −. In appendix A we show that the above configuration preserves only one real supersymmetry realizing a 2d N = (1, 0) theory at the intersection along the (01)-plane. A slightly different configuration that preserves two real supersymmetries and realizes a 2d N = (2, 0) theory has the following ingredients. In this case, the low energy 3d bulk theory away from the D5-brane stack along the (012)plane is N = 2 CS theory.
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