Proposes sDQCP between OSp(1|2)-breaking and lattice-rotation-breaking phases via supersphere NLSM and gauge theory with heuristic 3D XY behavior.
Dictionary on Lie Superalgebras
4 Pith papers cite this work. Polarity classification is still indexing.
abstract
The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet has two ambitious goals: to be elementary and easy to use. The beginner is supposed to find out here the main concepts on superalgebras, while a more experimented theorist should recognize the necessary tools and informations for a specific use.
representative citing papers
Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.
For n ≥ 2 the γ-deformation of osp(1|2n) is trivial if and only if all deformation parameters vanish.
For the double dihedral reflection group, the Dunkl TAMA admits a triangular subalgebra yielding necessary weight conditions for finite-dimensional irreps and explicit weight bases in unitary cases.
citing papers explorer
-
Deconfined quantum criticality with internal supersymmetry
Proposes sDQCP between OSp(1|2)-breaking and lattice-rotation-breaking phases via supersphere NLSM and gauge theory with heuristic 3D XY behavior.
-
On the $AdS_3\times S^3\times S^3\times S^1$ dressing factors
Dressing factors are proposed for the S-matrix of massive worldsheet excitations in AdS3×S3×S3×S1 with mixed RR/NSNS flux that satisfy crossing, unitarity, and reproduce perturbative results for any radius ratio.
-
On the triviality of inhomogeneous deformations of $\mathfrak{osp}(1|2n)$
For n ≥ 2 the γ-deformation of osp(1|2n) is trivial if and only if all deformation parameters vanish.
-
The double dihedral Dunkl total angular momentum algebra
For the double dihedral reflection group, the Dunkl TAMA admits a triangular subalgebra yielding necessary weight conditions for finite-dimensional irreps and explicit weight bases in unitary cases.