Zig-zag deformations of toric quiver gauge theories. Part I. Reflexive polytopes

Zig-zag deformations of toric quiver gauge theories. Part I. Reflexive polytopes

Blog Article

Abstract We study one-parameter families of U(1)2 preserving deformations relating pairs of toric quiver gauge theories on D-branes probing local toric (pseudo) del Pezzo surfaces.The superpotential deformations are defined by zig-zag paths in the brane tiling and are non-trivial in the chiral ring if the geometry has a non-isolated singularity.In the Oversized Tee dual (p, q) web, the deformation is realized as a Hanany-Witten move that reverses a semi-infinite fivebrane.We use these deformations to find RG flows between 4d N $$ mathcal{N} $$ = 1 SCFTs on D3-branes probing local toric (pseudo) del Pezzo surfaces of the same degree, and briefly comment on the interpretation for BPS quivers of rank Pokers one 5d SCFTs on S 1.