Orbifold Singularities, Lie Algebras of the Third Kind (LATKes), and Pure Yang-Mills with Matter

Abstract

We discover the unique, simple Lie Algebra of the Third Kind, or LATKe, that stems from codimension 6 orbifold singularities and gives rise to a kind of Yang-Mills theory which simultaneously is pure and contains matter. The root space of the LATKe is 1-dimensional and its Dynkin diagram consists of one point. The uniqueness of the LATKe is a vacuum selection mechanism.

42 pages; version appearing in JMP

References in corpus (4)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space

Cited by in corpus (7)

• n-ary algebras: a review with applications
• Classification of simple linearly compact n-Lie superalgebras
• Superspace Formulation in a Three-Algebra Approach to D=3, N=4,5 Superconformal Chern-Simons Matter Theories
• The String Landscape: On Formulas for Counting Vacua
• On a generalization of Lie($k$): a CataLAnKe theorem
• Classification of linearly compact simple N=6 3-algebras
• A simplified presentation of Specht modules