BLG theory with generalized Jordan triple systems

Abstract

We use a generalized Jordan algebra of the second kind to study the recently proposed BLG theory of multiple M2-branes. We find the restriction imposed on the ternary product from its consistency with the BLG theory.

11 pages

References in corpus (11)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• Multiple M2-branes and Generalized 3-Lie algebras
• Topological branes, p-algebras and generalized Nahm equations
• Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
• SU(N) membrane $B\wedge F$ theory with dual-pairs

Cited by in corpus (7)

• n-ary algebras: a review with applications
• Three-algebras, triple systems and 3-graded Lie superalgebras
• Some BPS configurations of the BLG Theory
• Simplicity in the Faulkner construction
• More on the scalar-tensor B-F theory
• A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory
• Moduli and BPS configurations of the BLG theory