RG cascades in hyperbolic quiver gauge theories

2004/05/25 by R. Ahl Laamara, M. Ait Ben Haddou, Malika Ait Ben Haddou +6 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2004.09.026

published as Nucl.Phys. B702 (2004) 163-188 · 25 pages, 2 figures

arxiv created 2004/05/25 · openalex publication_date 2004/10/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide a general classification of supersymmeric QFT₄s into three basic sets: ordinary, affine and indefinite classes. The last class, which has not been enough explored in literature, is shown to share most of properties of ordinary and affine super QFT₄s. This includes, amongst others, its embedding in type II string on local Calabi-Yau threefolds. We give realizations of these supersymmetric QFT₄s as D-brane world volume gauge theories. A special interest is devoted to hyperbolic subset for its peculiar features and for the role it plays in type IIB background with non zero axion. We also study RG flows and duality cascades in case of hyperbolic quiver theories. Comments regarding the full indefinite sector are made.

Citations

• Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications
• N=1 and N=2 Geometry from Fluxes
• Geometric Transitions and N=1 Quiver Theories
• A Perturbative Window into Non-Perturbative Physics
• Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities
• Classification of supersymmetric CFT4s: indefinite series

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