2015/09/30 by Matteo Bertolini, Daniele Musso, Ioannis Papadimitriou +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conifold #Field (mathematics) #Gauge theory #Gaugino #Geometry and complex manifolds #Homogeneous space #Propagator #Quantum Chromodynamics and Particle Interactions #Singularity #Supersymmetry #Supersymmetry breaking #hep-th
paper · pdf · doi:10.1007/jhep11(2015)184
33+1 pages; v2: Slight rephrasing of the abstract, typos corrected and a reference added; v3: More minor typos corrected, footnote 18 added, version published in JHEP
openalex publication_date 2015/11/01 · arxiv created 2015/11/26 · arxiv updated 2015/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Working within a five-dimensional consistent truncation of type IIB super-gravity dimensionally reduced on T 1,1, we consider supersymmetry breaking solutions with the asymptotics of the supersymmetric KS background [1]. There exists a two-parameter family of such solutions. Within this family, we show that those (and only those) solutions related to antiD-branes at the tip of the conifold correspond to dual field theory vacua where a goldstino mode is present and supercurrent Ward identities hold. Our findings do not depend on the IR singularity of the dual backgrounds, nor on its resolution. As such, they constitute an independent, necessary check for the existence of supersymmetry breaking vacua in the conifold cascading gauge theory. Our analysis relies on a holographic derivation of the Ward identities which has a wider applicability, beyond the specific system and symmetries considered here.