3d superconformal indices and isomorphisms of M2-brane theories

2012/10/31 by Masazumi Honda, Yoshinori Honma · 8 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Equivalence (formal languages) #F-theory #M-theory #Moduli #Moduli space #Noncommutative and Quantum Gravity Theories #Rank (graph theory) #Space (punctuation) #hep-th

paper · pdf · doi:10.1007/jhep01(2013)159

published in Journal of High Energy Physics 2013(1) (Springer Nature) · 28 pages, no figure; v2: references added; v3: few typos corrected

openalex publication_date 2013/01/01 · arxiv created 2013/01/24 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We test several expected isomorphisms between the U(N)xU(N) ABJM theory and (SU(N)xSU(N))/Z_N theory including the BLG theory by comparing their superconformal indices. From moduli space analysis, it is expected that this equivalence can hold if and only if the rank N and Chern-Simons level k are coprime. We also calculate the index of the ABJ theory and investigate whether some theories with identical moduli spaces are isomorphic or not.

Citations

• Estudo de processos de separação por membranas para produção de suco de laranja pasteurizado
• Gauge theories and magnetic charge
• Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra
• Summing up all genus free energy of ABJM matrix model
• M2-branes, 3-Lie algebras and Plücker relations
• Topological Disorder Operators in Three-Dimensional Conformal Field Theory
• Monopole Operators and Mirror Symmetry in Three Dimensions
• Constraining maximally supersymmetric membrane actions
• Algebraic structures on parallel M2 branes
• 𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Anomalous radius shift inAdS4/CFT3