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Admissible representations and characters of the affine superalgebras osp(l,2) and ŝl(2|l) [PDF]

, 1998
In this thesis we compute characters and supercharacters of irreducible admissible representations for the two affine superalgebras osp(l,2;C) and l(2|l;C).The work on osp(l, 2; C) includes a derivation of the embedding diagram.
Hayes, Michael Robert
core

One ring to rule them all: a unified topological framework for 4D N = 1 $$ \mathcal{N}=1 $$ superconformal anomalies

Journal of High Energy Physics
We present a unified topological description of anomalies that generalizes the Chern-Simons formulation of Yang-Mills anomalies to encompass all 4-dimensional N = 1 $$ \mathcal{N}=1 $$ superconformal anomalies.
Camillo Imbimbo, Ludovico Porro
doaj +1 more source

Differential invariants of the 2D conformal Lie algebra action [PDF]

, 2008
In this thises we consider the Lie algebra that corresponds to the Lie pseudogroup of all conformal transformations on the plane. This conformal Lie algebra is canonically represented as a Lie algebra of vector fields on R^2.
Høyem, Marte Rørvik
core

Free Field Realisation of the Chiral Universal Centraliser. [PDF]