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arXiv · 1408.1957

Mass-deformed Brane Tilings

Massimo Bianchi·Stefano Cremonesi·Amihay Hanany·Jose Francisco Morales·Daniel Ricci Pacifici·Rak-Kyeong Seong
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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.

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Massimo Bianchi, Stefano Cremonesi, Amihay Hanany, Jose Francisco Morales, Daniel Ricci Pacifici, Rak-Kyeong Seong. 2014-08-08. Mass-deformed Brane Tilings. https://doi.org/10.1007/jhep10(2014)027

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