Bianchi, Massimo and Cremonesi, Stefano and Hanany, Amihay and Morales, Jose Francisco and Ricci Pacifici, Daniel and Seong, Rak-Kyeong (2014) 'Mass-deformed brane tilings.', Journal of high energy physics., 2014 (10). 027.
We study renormalization group flows among N=1N=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=1N=1 theory for the conifold starting from the N=2N=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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|Publisher Web site:||https://doi.org/10.1007/JHEP10(2014)027|
|Publisher statement:||Open Access, © The Author(s) 2014. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.|
|Date accepted:||21 September 2014|
|Date deposited:||29 March 2017|
|Date of first online publication:||06 October 2014|
|Date first made open access:||No date available|
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