Extensions, expansions, Lie algebra cohomology and enlarged superspaces

Abstract

After briefly reviewing the methods that allow us to derive consistently new Lie (super)algebras from given ones, we consider enlarged superspaces and superalgebras, their relevance and some possible applications.

arXiv comment9 pages. Invited talk delivered at the EU RTN Workshop, Copenhagen, Sep. 15-19 and at the Argonne Workshop on Branes and Generalized Dynamics, Oct. 20-24, 2003. Only change: wrong number of a reference corrected

References in corpus (12)

• String Solitons
• Gauge Invariant Formulations of Lineal Gravity
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• S-Theory
• Wess-Zumino term for the AdS superstring and generalized Inonu-Wigner contraction
• The geometry of branes and extended superspaces
• The M-Algebra
• BPS states in M-theory and twistorial constituents
• Super p-Brane Theories and New Spacetime Superalgebras
• Topological Extensions of Noether Charge Algebras carried by D-p-branes
• IIB-Branes and New Spacetime Superalgebras
• Type-II Superstrings and New Spacetime Superalgebras

Cited by in corpus (38)

• Expanding Lie (super)algebras through abelian semigroups
• Expansions of algebras and superalgebras and some applications
• On the underlying gauge group structure of D=11 supergravity
• On the formulation of D=11 supergravity and the composite nature of its three-from field
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Super Galilean conformal algebra in AdS/CFT
• Eleven-Dimensional Gauge Theory for the M Algebra as an Abelian Semigroup Expansion of osp(32|1)
• On the Maxwell supergravity and flat limit in 2+1 dimensions
• Generalized Poincare algebras and Lovelock-Cartan gravity theory
• Generalizing the ${\mathfrak{bms}}_3$ and 2D-conformal algebras by expanding the Virasoro algebra
• Dual Formulation of the Lie Algebra S-expansion Procedure
• Generalizations of Maxwell (super)algebras by the expansion method
• Minimal D=4 supergravity from the superMaxwell algebra
• Minimal AdS-Lorentz supergravity in three-dimensions
• General properties of the expansion methods of Lie algebras
• Bianchi spaces and their 3-dimensional isometries as S-expansions of 2-dimensional isometries
• More on the Hidden Symmetries of 11D Supergravity
• Non-Relativistic AdS Branes and Newton-Hooke Superalgebra
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• The algebraic structure of Galilean superconformal symmetries
• Einstein-Hilbert action with cosmological term from Chern-Simons gravity
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Supersymmetrization Schemes of D=4 Maxwell Algebra
• Geometrical aspects of the Lie Algebra S-Expansion Procedure
• An Analytic Method for $S$-Expansion involving Resonance and Reduction
• Infinite S-Expansion with Ideal Subtraction and Some Applications
• (p,q) D=3 Poincare supergravities from Lie algebra expansions
• Wess-Zumino terms for AdS D-branes
• (Super-)Gravities of a different sort
• Contractions of Filippov algebras
• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• On deformations of 2d SCFTs
• A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations
• Integration of massive states as contractions of non linear $\sigma$-models
• A Java library to perform S-expansions of Lie algebras
• Bosonic D=11 supergravity from a generalized Chern-Simons action
• Contractions from $osp(1|32)\oplus osp(1|32)$ to the M-theory superalgebra extended by additional fermionic generators