The BPS spectrum of monopole operators in ABJM: towards a field theory description of the giant torus

Abstract

We study the BPS spectrum of monopole operators in ABJM theory. First we work out the complete spectrum of the chiral ring by using a semiclassical analysis of the field theory compactified on a two sphere. By properly taking into account the full quantization condition of monopole charges, we show that the moduli space of ABJM theory with Chern-Simons level k, -k is a particular Z_k cover of the symmetric product of C^4/Z_k. We also work out in detail the spectrum of fluctuations around half-BPS monopole configurations and we find candidate states for a dual BPS configuration to the giant torus solution found by Nishioka and Takayanagi in the supergravity limit. We also discuss more general BPS states.

33 pages, JHEP style. v2: added reference, fixed typos. v3: added references, improved the discussion of various issues

References in corpus (12)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Black Holes as Effective Geometries
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• Charges of Monopole Operators in Chern-Simons Yang-Mills Theory
• Comments on 1/16 BPS Quantum States and Classical Configurations
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• On Half-BPS States of the ABJM Theory
• Supersymmetric States in M5/M2 CFTs
• Aspects of monopole operators in N=6 Chern-Simons theory
• Strings on conifolds from strong coupling dynamics, part I
• Strings on conifolds from strong coupling dynamics: quantitative results

Cited by in corpus (21)

• Supersymmetry enhancement by monopole operators
• Generalized symmetries and holography in ABJM-type theories
• On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories
• On Large N Solution of Gaiotto-Tomasiello Theory
• The giant graviton on AdS_{4} x CP^{3} - another step towards the emergence of geometry
• From Schurs to Giants in ABJ(M)
• Exact Large R-charge Correlators in ABJM Theory
• Charged particle-like branes in ABJM
• Structure constants of heavy operators in ABJM/ABJ Theory
• An Index for Ray Operators in 5d $E_n$ SCFTs
• Dielectric 5-Branes and Giant Gravitons in ABJM
• ABJM Dibaryon Spectroscopy
• Monopole operators, moduli spaces and dualities
• Correlators of Giant Gravitons from dual ABJ(M) Theory
• A giant graviton genealogy
• M2-M5 giant graviton expansions
• BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
• S^2 x S^3 geometries in ABJM and giant gravitons
• 1/2-BPS D-branes from covariant open superstring in AdS${}_4\times {\mathbf{CP}}^3$ background
• Monopole operators and symmetry enhancement in ABJM theory revisited
• Aspects of ABJM orbifolds with discrete torsion