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.
Cite
@article{arxiv.1408.1957,
title = {Mass-deformed Brane Tilings},
author = {Massimo Bianchi and Stefano Cremonesi and Amihay Hanany and Jose Francisco Morales and Daniel Ricci Pacifici and Rak-Kyeong Seong},
journal= {arXiv preprint arXiv:1408.1957},
year = {2014}
}
Comments
40 pages, 13 figures