Super coset space geometry
نویسندگان
چکیده
Super coset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of super coset spaces with particular focus on the way the geometrical structures of the super coset space G/H are inherited from the super Lie group G. The isometries of the super coset space are discussed and a definition of Killing supervectors – the supervectors associated with infinitesimal isometries – is given that can be easily extended to spaces other than coset spaces. PACS numbers: 02.40.-k, 11.30.Pb, 12.60.Jv
منابع مشابه
Flux Vacua and Supermanifolds
As been recently pointed out, physically relevant models derived from string theory require the presence of non-vanishing form fluxes besides the usual geometrical constraints. In the case of NS-NS fluxes, the Generalized Complex Geometry encodes these informations in a beautiful geometrical structure. On the other hand, the R-R fluxes call for supergeometry as the underlying mathematical frame...
متن کاملThe geometry of supersymmetric coset models and superconformal algebras
An on-shell formulation of (p, q), 2 ≤ p ≤ 4, 0 ≤ q ≤ 4, supersymmetric coset models with target space the group G and gauge group a subgroup H of G is given. It is shown that there is a correspondence between the number of supersymmetries of a coset model and the geometry of the coset space G/H . The algebras of currents of supersymmetric coset models are superconformal algebras. In particular...
متن کاملTriple factorization of non-abelian groups by two maximal subgroups
The triple factorization of a group $G$ has been studied recently showing that $G=ABA$ for some proper subgroups $A$ and $B$ of $G$, the definition of rank-two geometry and rank-two coset geometry which is closely related to the triple factorization was defined and calculated for abelian groups. In this paper we study two infinite classes of non-abelian finite groups $D_{2n}$ and $PSL(2,2^{n})$...
متن کاملDimensional Reduction of the Heterotic String over nearly-Kähler manifolds
Our aim is to derive the effective action in four dimensions resulting by reducing dimensionally the ten-dimensional N = 1 heterotic supergravity coupled to N = 1 super Yang-Mills over manifolds admitting a nearly-Kähler structure. Given the fact that all homogeneous six-dimensional nearly-Kähler manifolds are included in the class of the corresponding non-symmetric coset spaces plus a group ma...
متن کاملA Super-flag Landau Model
We consider the quantum mechanics of a particle on the coset superspace SU(2|1)/[U(1)×U(1)], which is a super-flag manifold with SU(2)/U(1) ∼= S2 ‘body’. By incorporating the Wess-Zumino terms associated with the U(1) × U(1) stability group, we obtain an exactly solvable super-generalization of the Landau model for a charged particle on the sphere. We solve this model using the factorization me...
متن کامل