Tests of \(\operatorname{AdS}_{4}/\operatorname{CFT}_{3}\) correspondence for \(\mathcal{N} = {2}\) chiral-like theory

DOI10.1007/JHEP02(2012)079zbMath1309.81157arXiv1111.4529OpenAlexW2041467393MaRDI QIDQ2340605

Chiung Hwang, Jaemo Park, Seok Kim, Dongmin Gang

Publication date: 20 April 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4529

zbMATH Keywords

AdS-CFT correspondencesupersymmetric gauge theoryChern-Simons theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) 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) Gravitational interaction in quantum theory (81V17) Eta-invariants, Chern-Simons invariants (58J28) Statistical thermodynamics (82B30)

Related Items

Superconformal indices and M2-branes ⋮ Partition functions on 3d circle bundles and their gravity duals ⋮ Toric Fano varieties and Chern-Simons quivers ⋮ Operator counting for \( \mathcal{N} = {2} \) Chern-Simons gauge theories with chiral-like matter fields ⋮ Three-dimensional superconformal field theories, indices, and monopoles ⋮ TheF-theorem andF-maximization ⋮ The supersymmetric NUTs and bolts of holography ⋮ Refined checks and exact dualities in three dimensions ⋮ Geometry of \( \mathcal{I} \)-extremization and black holes microstates

Cites Work

• The exact superconformal R-symmetry extremizes Z
• Chiral flavors and M2-branes at toric CY\({}_4\) singularities
• Twisted sectors in gravity duals of \(\mathcal{N} = 4\) Chern-Simons theories
• Tilings, Chern-Simons theories and M2 branes
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• \(\mathcal = 5, 6\) superconformal Chern-Simons theories and M2-branes on orbifolds
• Calculating the partition function of \( \mathcal{N} = 2 \) gauge theories on \(S^{3}\) and AdS/CFT correspondence
• Refined test of AdS\({}_{4}\)/CFT\({}_{3}\) correspondence for \( \mathcal{N} = 2,3 \) theories
• Towards the \(F\)-theorem: \( \mathcal{N} = 2 \) field theories on the three-sphere
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Superconformal index for large \(N\) quiver Chern-Simons theories
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and \(\mathrm{AdS}_{4}/\mathrm{CFT}_{3}\)
• A monopole index for \({\mathcal N}=4\) Chern-Simons theories
• From weak to strong coupling in ABJM theory
• Index for three dimensional superconformal field theories with general \(R\)-charge assignments
• Quantum corrections to \(\mathcal N=2\) Chern-Simons theories with flavor and their \(\mathrm{AdS}_4\)
• Towards M2-brane theories for generic toric singularities
• \( \mathcal{Z} \) extremization in chiral-like Chern-Simons theories
• The large \(N\) limit of toric Chern-Simons matter theories and their duals
• The complete superconformal index for \({\mathcal N}=6\) Chern-Simons theory
• 3D superconformal theories from Sasakian seven-manifolds: new non-trivial evidences for \(\text{AdS}_ 4/\text{CFT}_ 3\).