8,031 research outputs found
Kac-Moody Extensions of 3-Algebras and M2-branes
We study the 3-algebraic structure involved in the recently shown M2-branes
worldvolume gauge theories. We first extend an arbitrary finite dimensional
3-algebra into an infinite dimensional 3-algebra by adding a mode number to
each generator. A unique central charge in the algebra of gauge transformations
appears naturally in this extension. We present an infinite dimensional
extended 3-algebra with a general metric and also a different extension with a
Lorentzian metric. We then study ordinary finite dimensional 3-algebras with
different signatures of the metric, focusing on the cases with a negative
eigenvalue and the cases with a zero eigenvalue. In the latter cases we present
a new algebra, whose corresponding theory is a decoupled abelian gauge theory
together with a free theory with global gauge symmetry, and there is no
negative kinetic term from this algebra.Comment: v3: Appendix A added proving an identity; minor corrections and typos
fixed. v4: slight refinement in section 2.1, no other change. 18 pages, Late
fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory
We construct a geometric model of eight-dimensional manifolds and realize
them in the context of type II string theory. These eight-manifolds are
constructed by non-trivial fibrations over Calabi-Yau two-folds. These
give rise to eight-dimensional non-Kahler Hermitian manifolds with
structure. The eight-manifold is also a circle fibration over a
seven-dimensional manifold with skew torsion. The eight-manifolds of
this type appear as internal manifolds with structure in type IIB
string theory with and fluxes. These manifolds have generalized
calibrated cycles in the presence of fluxes.Comment: 22 page
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