2008/11/30 by E. Antonyan, A.A. Tseytlin, A. A. Tseytlin · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.79.046002
published as Phys.Rev.D79:046002,2009 · 16 pages; published version - reference added, minor corrections
arxiv created 2009/01/22 · openalex publication_date 2009/02/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We elaborate on the suggestion made in arXiv:0806.3498 that the 3d N=8 superconformal SU(N) Chern-Simons-matter theory of ``Lorentzian'' Bagger-Lambert-Gustavson type (L-BLG) can be obtained by a scaling limit (involving sending the level k to infinity and redefining the fields) from the N=6 superconformal U(N)\ifmmode×\else\texttimes\fiU(N) Chern-Simons-matter theory of Aharony, Bergman, Jafferis, and Maldacena (ABJM). We show that to implement such limit in a consistent way one is to extend the ABJM theory by an Abelian ``ghost'' multiplet. The corresponding limit at the 3-algebra level also requires extending the nonantisymmetric Bagger-Lambert 3-algebra underlying the ABJM theory by a negative-norm generator. We draw analogy with similar scaling limits discussed previously for bosonic Chern-Simons theory and comment on some implications of this relation between the ABJM and L-BLG theories.