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Mass-deformed brane tilings

  • Massimo Bianchi
  • Stefano Cremonesi
  • Amihay Hanany
  • Jose Francisco Morales
  • Daniel Ricci Pacifici
  • Rak-Kyeong Seong
Open Access
Article

Abstract

We study renormalization group flows among \( \mathcal{N}=1 \) 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 \( \mathcal{N}=1 \) theory for the conifold starting from the \( \mathcal{N}=2 \) 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.

Keywords

Supersymmetric gauge theory D-branes Differential and Algebraic Geometry Superstring Vacua 

Notes

Open Access

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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Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Massimo Bianchi
    • 1
  • Stefano Cremonesi
    • 2
  • Amihay Hanany
    • 2
  • Jose Francisco Morales
    • 1
  • Daniel Ricci Pacifici
    • 3
  • Rak-Kyeong Seong
    • 4
  1. 1.Dipartimento di Fisica, Università di Roma “TorVergata” and I.N.F.N., Sezione di Roma “TorVergata”RomaItaly
  2. 2.Theoretical Physics Group, The Blackett LaboratoryImperial College LondonLondonUnited Kingdom
  3. 3.Dipartimento di Fisica e Astronomia, Università degli Studi di Padova and I.N.F.N, Sezione di PadovaPadovaItaly
  4. 4.School of PhysicsKorea Institute for Advanced StudySeoulSouth Korea

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