Abstract
We study renormalization group flows among \( \mathcal{N}=1 \) 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 \( \mathcal{N}=1 \) theory for the conifold starting from the \( \mathcal{N}=2 \) theory for the ℂ2/ℤ2 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.
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Bianchi, M., Cremonesi, S., Hanany, A. et al. Mass-deformed brane tilings. J. High Energ. Phys. 2014, 27 (2014). https://doi.org/10.1007/JHEP10(2014)027
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DOI: https://doi.org/10.1007/JHEP10(2014)027