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 = 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.

Bianchi, M., Cremonesi, S., Hanany, A., Morales, J.f., Pacifici, D.r., Seong, R.-. (2014). Mass-deformed brane tilings. JOURNAL OF HIGH ENERGY PHYSICS(10) [10.1007/JHEP10(2014)027].

Mass-deformed brane tilings

Bianchi M.;
2014-01-01

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 = 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.
2014
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Supersymmetric gauge theory
D-branes
Differential and Algebraic Geometry
Superstring Vacua
Bianchi, M., Cremonesi, S., Hanany, A., Morales, J.f., Pacifici, D.r., Seong, R.-. (2014). Mass-deformed brane tilings. JOURNAL OF HIGH ENERGY PHYSICS(10) [10.1007/JHEP10(2014)027].
Bianchi, M; Cremonesi, S; Hanany, A; Morales, Jf; Pacifici, Dr; Seong, R-
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/289559
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