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Mass-deformed brane tilings

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

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Massimo Bianchi

Amihay Hanany

Jose Francisco Morales

Daniel Ricci Pacifici

Rak-Kyeong Seong


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.


Bianchi, M., Cremonesi, S., Hanany, A., Morales, J. F., Ricci Pacifici, D., & Seong, R. (2014). Mass-deformed brane tilings. Journal of High Energy Physics, 2014(10), Article 027.

Journal Article Type Article
Acceptance Date Sep 21, 2014
Online Publication Date Oct 6, 2014
Publication Date Oct 6, 2014
Deposit Date Feb 2, 2017
Publicly Available Date Mar 29, 2017
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 10
Article Number 027
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Copyright 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.

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