Enhanced N=8 Supersymmetry of ABJM Theory on R(8) and R(8)/Z(2)
arXiv:0906.3568
Abstract
The ABJM theory refers to superconformal Chern-Simons-matter theory with product gauge group U(L)xU(R) and level +k, -k, respectively. The theory is a candidate for worldvolume dynamics of M2-branes sitting at C(4)/Z(k)k. By utilizing monopole operators, we prove that ABJM theory gets enhanced N=8 supersymmetry and SO(8) R-symmetry at Chern-Simons levels k=1,2. We first show that the ABJM Lagrangian can be written in a manifestly SO(8) invariant form up to certain extra terms. We then show that upon integrating out Chern-Simons gauge fields these extra terms vanish precisely at levels k=1,2. Utilizing monopole operators at these levels, we identify new N=2 supersymmetry. We demonstrate that they combine with the manifest N=6 supersymmetry to close on-shell on N=8 supersymmetry. We finally show that the ABJM scalar potential is SO(8) invariant.
v1. 1+43 pages; v2. 1+47 pages, further comments and rewritings at various places
References in corpus (13)
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Algebraic structures on parallel M2-branes
- Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
- Supersymmetry enhancement by monopole operators
- AdS_4/CFT_3 -- Squashed, Stretched and Warped
- The AdS4/CFT3 algebraic curve
- Two loop integrability for Chern-Simons theories with N=6 supersymmetry
- Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
- Nonrelativistic Superconformal M2-Brane Theory
- N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
- Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
- Observables and Correlators in Nonrelativistic ABJM Theory
- Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
Cited by in corpus (56)
- n-ary algebras: a review with applications
- Supersymmetry enhancement by monopole operators
- What Maxwell Theory in D<>4 teaches us about scale and conformal invariance
- (1,0) superconformal models in six dimensions
- Exact Results on the ABJM Fermi Gas
- Boundary Conditions for Interacting Membranes
- Brane Effective Actions, Kappa-Symmetry and Applications
- M2-branes and AdS/CFT
- Boundary Terms and Three-Point Functions: An AdS/CFT Puzzle Resolved
- Relating U(N)xU(N) to SU(N)xSU(N) Chern-Simons Membrane theories
- New and old N=8 superconformal field theories in three dimensions
- Infrared Stability of N=2 Chern-Simons Matter Theories
- Infrared stability of ABJ-like theories
- The general M5-brane superconformal index
- N=6 Superspace Constraints, SUSY Enhancement and Monopole Operators
- A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G x G
- Exact results in N=8 Chern-Simons-matter theories and quantum geometry
- N=8 Superspace Constraints for Three-dimensional Gauge Theories
- Holography of mass-deformed M2-branes
- Symplectic Three-Algebra Unifying N=5,6 Superconformal Chern-Simons-Matter Theories
- Aspects of monopole operators in N=6 Chern-Simons theory
- A Monopole Index for N=4 Chern-Simons Theories
- Monopoles, three-algebras and ABJM theories with supersymmetry
- An associative star-three-product and applications to M two/M five-brane theory
- ABCD of 3d and 4 Superconformal Field Theories
- Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
- M5 brane from mass deformed BLG theory
- Membrane Quantum Mechanics
- Topological M-Strings and Supergroup WZW Models
- Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
- Duality between N=5 and N=6 Chern-Simons matter theory
- On Fractional Quantum Hall Solitons in ABJM-like Theory
- Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
- Interaction between M2-branes and Bulk Form Fields
- Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
- Branes and massive IIA duals of 3d CFT's
- Dual Instantons in Anti-membranes Theory
- Abelian Projections of the Mass-deformed ABJM theory and Weakly Curved Dual Geometry
- Three-Algebra BFSS Matrix Theory
- Superconformal Quantum Mechanics from M2-branes
- Five-dimensional super Yang-Mills theory from ABJM theory
- Marginal Fluctuations as Instantons on M2/D2-Branes
- Extension of IIB Matrix Model by Three-Algebra
- BPS solutions in ABJM theory and Maximal Super Yang-Mills on RxS^2
- Cartan-Weyl 3-algebras and the BLG Theory I: Classification of Cartan-Weyl 3-algebras
- Comments on Higher Order BLG Supersymmetry Transformations
- Index for Three Dimensional Superconformal Field Theories and Its Applications
- On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
- Aspects of Supersymmetry in Multiple Membrane Theories
- Four-algebraic extension of the IIB matrix model
- Semi-classical monopole operators in Chern-Simons-matter theories
- Monopole operators and symmetry enhancement in ABJM theory revisited
- Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor
- A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
- Metric 3-Leibniz algebras and M2-branes
- Renormalization Group Improvement and Dynamical Breaking of Symmetry in a Supersymmetric Chern-Simons-matter Model