2019/04/20 by Nakwoo Kim, Se-Jin Kim · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Charge (physics) #Conjecture #Cosmology and Gravitation Theories #Geometry #Holography #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Superpotential #Supersymmetry #Symmetry (geometry) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.physletb.2019.134837
published as Phys.Lett.B 797 (2019) 134837 · 15 pages, 1 figure
arxiv created 2019/04/20 · openalex publication_date 2019/08/08 · arxiv updated 2020/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently the calculation of holographic free energy for mass-deformed ABJM model (mABJM) with N=2 supersymmetry and SU(3)×U(1) global symmetry was tackled by Bobev et al. [1]. We solve the associated BPS equations, requiring IR regularity, using a perturbative method proposed by one of us in [2]. In particular, we provide an analytic proof of a crucial conjecture made in [1] based on numerical solutions: that the R-charge values of three chiral multiplets in mABJM should be independent of the IR values of a hypermultiplet scalar, which is holographically dual to the superpotential mass term.