Mass-deformed brane tilings

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

Abstract

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.

Citation

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. https://doi.org/10.1007/jhep10%282014%29027

• 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
• DOI: https://doi.org/10.1007/jhep10%282014%29027
• Public URL: https://durham-repository.worktribe.com/output/1395208
• Related Public URLs: https://arxiv.org/abs/1408.1957