41 citations · 123 across the 6 of their papers we have counts for
6 papers
Metric 3-Leibniz algebras and M2-branes
Elena Méndez-Escobar
This thesis is concerned with superconformal Chern-Simons theories with matter in 3 dimensions. The interest in these theories is two-fold. On the one hand, it is a new family of t…
Half-BPS quotients in M-theory: ADE with a twist
Paul de Medeiros, José Figueroa-O'Farrill, Sunil Gadhia +1
We classify Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS_4 x X^7 which are at least half BPS; equivalently, smooth quotients of the round 7-sphere by…
Superpotentials for superconformal Chern-Simons theories from representation theory
Paul de Medeiros, José Figueroa-O'Farrill, Elena Méndez-Escobar
These notes provide a detailed account of the universal structure of superpotentials defining a large class of superconformal Chern-Simons theories with matter, many of which appea…
Metric 3-Lie algebras for unitary Bagger-Lambert theories
Paul de Medeiros, José Figueroa-O'Farrill, Elena Méndez-Escobar +1
We prove a structure theorem for finite-dimensional indefinite-signature metric 3-Lie algebras admitting a maximally isotropic centre. This algebraic condition indicates that all t…
Metric Lie 3-algebras in Bagger-Lambert theory
Paul de Medeiros, José Figueroa-O'Farrill, Elena Méndez-Escobar
We recast physical properties of the Bagger-Lambert theory, such as shift-symmetry and decoupling of ghosts, the absence of scale and parity invariance, in Lie 3-algebraic terms, t…
Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space
Paul de Medeiros, José Figueroa-O'Farrill, Elena Méndez-Escobar
We classify Lie 3-algebras possessing an invariant lorentzian inner product. The indecomposable objects are in one-to-one correspondence with compact real forms of metric semisimpl…