Speaker
Description
In this work, we introduce a new class of N = 1 SCFTs with flavor symmetries, engineered in string theory through D3 branes probing various non-compact orientifolds of toric Calabi-Yau singularities using Brane-tiling techniques. The addition of D7 flavor branes is crucial to cancel tadpole contributions and lead to flavor symmetries. Distinct theories are identified and differentiated based on the choices of discrete torsion and Wilson lines. For instance, in the C^3/Z_3 case with trivial torsion, we find five distinct theories, where flavor symmetries correspond to conjugacy classes of SO(8). In the conifold case, non-trivial discrete torsion coupled with a trivial Wilson line choice leads to two S-dual theories, each exhibiting an SO(8) global symmetry. However, the combination of non-trivial Wilson lines with non-trivial discrete torsion presents a more complex situation, leading to interesting results that necessitate further analysis. Despite their simplicity, these setups provide a starting point for exploring N=1 SCFTs and S-duality within non-compact orientifolds of toric Calabi-Yau singularities, while also facilitating the analysis of the impact of discrete torsion and Wilson lines on the physical properties of these theories.
