Superconformal index for large N quiver Chern-Simons theories

2011/02/28 by Yosuke Imamura, Daisuke Yokoyama, Shuichi Yokoyama · 22 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Gauge theory #Homogeneous #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #Index (typography) #M-theory #Quiver #Seiberg duality #Series (stratigraphy) #Supersymmetric gauge theory #hep-th

paper · pdf · doi:10.1007/jhep08(2011)011

published in Journal of High Energy Physics 2011(8) (Springer Nature) · 27 pages, 7 figures; v2: typos corrected, Sec.6 modified; v3: explanation improved, minor corrections, version published in JHEP

openalex publication_date 2011/08/01 · arxiv created 2011/10/12 · arxiv updated 2015/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the N=2 superconformal index for supersymmetric quiver Chern-Simons theories with large N gauge groups. After general arguments about the large N limit, we compute the first few terms in the series expansion of the index for theories proposed as dual theories to homogeneous spaces V^5,2, Q^1,1,1, Q^2,2,2, M^1,1,1, and N^0,1,0. We confirm that the indices have symmetries expected from the isometries of dual manifolds.

Citations

• Toric AdS4/CFT3duals and M-theory crystals
• Brane dimers and quiver gauge theories
• Gauge theories and magnetic charge
• Quiver Chern-Simons theories and crystals
• Superconformal indices for orbifold Chern-Simons theories
• M2-brane probe dynamics and toric duality
• Quivers, tilings, branes and rhombi
• The Large-N Limit of Superconformal Field Theories and Supergravity
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Adding flavor toAdS4/CFT3