Mass-deformed Brane Tilings

Abstract

We study renormalization group flows among N=1 SCFTs realized on the worldvolume of D3-branes probing toric Calabi-Yau singularities, thus admitting a brane tiling description. The flows are triggered by masses for adjoint or vector-like pairs of bifundamentals and are generalizations of the Klebanov-Witten construction of the N=1 theory for the conifold starting from the N=2 theory for the C^2/Z_2 orbifold. In order to preserve the toric condition pairs of masses with opposite signs have to be switched on. We offer a geometric interpretation of the flows as complex deformations of the Calabi-Yau singularity preserving the toric condition. For orbifolds, we support this interpretation by an explicit string amplitude computation of the gauge invariant mass terms generated by imaginary self-dual 3-form fluxes in the twisted sector. In agreement with the holographic a-theorem, the volume of the Sasaki-Einstein 5-base of the Calabi-Yau cone always increases along the flow.

40 pages, 13 figures

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• More about Neutron Majorana mass from Exotic Instantons: an alternative mechanism in Low-Scale String theory
• Resolution a la Kronheimer of ${\mathbb{C}}^3/\Gamma$ singularities and the Monge-Ampere equation for Ricci-flat Kaehler metrics in view of D3-brane solutions of supergravity
• $\mathcal{N}=1$ conformal dualities from unoriented chiral quivers
• Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds
• Birational Transformations on Dimer Integrable Systems
• Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
• Quiver-Invariant Dualities between Brane Tilings
• Holographic spectral functions for Sasaki-Einstein 5-manifolds
• D3-brane supergravity solutions from Ricci-flat metrics on canonical bundles of Kähler-Einstein surfaces