c-extremization from toric geometry

DOI10.1016/j.nuclphysb.2018.01.025zbMath1382.81146arXiv1706.07752OpenAlexW2640814527MaRDI QIDQ1705622

Luca Cassia, Silvia Penati, Antonio Amariti

Publication date: 16 March 2018

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07752

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods applied to problems in quantum theory (81R25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Representations of quivers and partially ordered sets (16G20)

Related Items

F-theory and \(\mathrm{AdS}_3 /\mathrm{CFT}_2 (2,0)\) ⋮ Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers ⋮ Twisted \(\mathcal{N} = 1\) SCFTs and their \(\mathrm{AdS}_3\) duals ⋮ Holographic microstate counting for \(\mathrm{AdS}_{4}\) black holes in massive IIA supergravity ⋮ Universal RG flows across dimensions and holography ⋮ AdS black holes, holography and localization ⋮ Toric geometry and the dual of \(c\)-extremization ⋮ A geometric dual of \(c\)-extremization ⋮ Microstates of rotating \(\mathrm{AdS}_{5} \) strings

Cites Work

• Equivalence of a-maximization and volume minimization
• \((0,2)\) SCFTs from the Leigh-Strassler fixed point
• Two-dimensional SCFTs from wrapped branes and \(c\)-extremization
• Properly ordered dimers, \(R\)-charges, and an efficient inverse algorithm
• Toric Sasaki-Einstein metrics on \(S^2\times S^3\)
• Rigid supersymmetric theories in curved superspace
• Comments on anomalies and charges of toric-quiver duals
• The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\)
• Surveying 4d SCFTs twisted on Riemann surfaces
• Five-dimensional supergravity dual of \(a\)-maximization
• The geometric dual of \(a\)-maximisation for toric Sasaki-Einstein manifolds
• Sasaki-Einstein manifolds and volume minimisation
• Dimer models from mirror symmetry and quivering amoebæ
• Geometries with Killing spinors and supersymmetric AdS solutions
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Topological sigma models
• The exact superconformal \(R\)-symmetry maximizes \(a\)
• Non-perturbative formulas for central functions of supersymmetric gauge theories
• Topological reduction of \(4\)D SYM to \(2\)D\(\sigma\)-models
• Superconformal field theory on threebranes at a Calabi-Yau singularity
• D-brane gauge theories from toric singularities and toric duality
• Brane brick models, toric Calabi-Yau 4-folds and 2d \((0,2)\) quivers
• Two-dimensional SCFTs from D3-branes
• Betti multiplets, flows across dimensions and \(c\)-extremization
• \(D\)-branes and topological field theories
• On renormalization group flows in four dimensions
• Sasaki-Einstein metrics on \(S^2\times S^3\)
• Triangle anomalies from Einstein manifolds
• A new infinite class of Sasaki-Einstein manifolds
• 2d (0,2) quiver gauge theories and D-branes
• On the reduction of 4d \( \mathcal{N}=1 \) theories on \( {\mathbb{S}}^2 \)
• SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM
• BRANE TILINGS
• A comprehensive survey of brane tilings
• From toric geometry to quiver gauge theory: The equivalence of a‐maximization and Z‐minimization