Results 131 to 140 of about 8,017 (211)
Tensor categories of weight modules of sl̂2$\widehat{\mathfrak {sl}}_2$ at admissible level
Abstract The category of weight modules Lk(sl2)-wtmod$L_{k}(\mathfrak {sl}_2)\operatorname{-wtmod}$ of the simple affine vertex algebra of sl2$\mathfrak {sl}_2$ at an admissible level k$k$ is neither finite nor semisimple and modules are usually not lower‐bounded and have infinite‐dimensional conformal weight subspaces.
Thomas Creutzig
wiley +1 more source
Projective Superspace Varieties, Superspace Quadrics and Non-Splitting
This article is a continuation of a previous article which concerned the splitting problem for subspaces of superspaces. We begin with a general account of projective superspaces. Subsequently, we specialise to subvarieties of "positive" projective superspaces.
openaire +2 more sources
DUALITY OF THE SUPERSTRING IN SUPERSPACE
The evolution of a closed NSR string is considered in the background of constant graviton and antisymmetric fields. The σ-model action is written in a manifestly supersymmetric form in terms of superfields. The first order formalism adopted for the closed bosonic string is generalized to implement duality transformations and the constant dual ...
Jnanadeva Maharana, Ashok Das
openaire +3 more sources
All Chern-Simons invariants of 4D, N = 1 gauged superform hierarchies
We give a geometric description of supersymmetric gravity/(non-)abelian p-form hierarchies in superspaces with 4D, N = 1 super-Poincaré invariance. These hierarchies give rise to Chern-Simons-like invariants, such as those of the 5D, N = 1 graviphoton ...
Katrin Becker+4 more
doaj +1 more source
Conformal Superspace: the configuration space of general relativity [PDF]
It has long been considered that conformal superspace is the natural configuration space for canonical general relativity. However, this was never definitively demonstrated. We have found that the standard conformal method of solving the Einstein constraints has an unexpected extra symmetry. This allows us to complete the project.
arxiv
Double-Spinor Superstrings on Coset Superspaces
The double-spinor formalism, proposed by Aisaka and Kazama, provides a basis for the pure-spinor formalism, which allows manifestly super-Poincare covariant quantization of superstrings.
Kunitomo, Hiroshi
core +1 more source
Hexagonal and Trigonal Quasiperiodic Tilings
Abstract Exploring nonminimal‐rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long‐range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting aperiodic long‐range order with hexagonal ...
Sam Coates+6 more
wiley +1 more source
All (4,0): Sigma models with (4,0) off-shell supersymmetry
Off-shell (4, 0) supermultiplets in 2-dimensions are formulated. These are used to construct sigma models whose target spaces are vector bundles over manifolds that are hyperkähler with torsion.
Chris Hull, Ulf Lindström
doaj +1 more source
Curved Superspaces and Local Supersymmetry in Supermatrix Model
In a previous paper, we introduced a new interpretation of matrix models, in which any d-dimensional curved space can be realized in terms of d matrices, and the diffeomorphism and the local Lorentz symmetries are included in the ordinary unitary ...
Hanada, Masanori+2 more
core +2 more sources
Canonical‐Cell Tilings and their Atomic Decorations
Abstract The canonical cell tiling is a geometrical framework that uses four kinds of basic polyhedra, called the canonical cells, to model the packing of atoms and clusters in icosahedral quasicrystals and related periodic approximants. Over the past three decades, it has become increasingly clear that this framework is the most sensible approach to ...
Nobuhisa Fujita+2 more
wiley +1 more source