Nota de FísicaPublicado
Critical -module reps for finite superconformal algebras and their superconformal mechanics"
F. Toppan
Dados da publicação
- Autores
- F. Toppan
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 07/02/2013
- Descrição
- The simple finite Lie superalgebras $D(2,1;\alpha)$, $G(3)$, $D(4,1)$, $D(2,2)$, $A(3,1)$ and $F(4)$ admit $D$-module representations, given by a set of differential operators of a single variable $t\in \mathbb{R}$, at a critical value of the scaling dimension $\lambda$. These superalgebras are one-dimensional ${\cal N}$-extended superconformal algebras with ${\cal N}=4$ ($D(2,1;\alpha)$), ${\cal N}=7$ ($G(3)$) and ${\cal N}=8$ (the remaining ones). The critical $D$-module reps induce invariant actions in the Lagrangian framework for superconformal mechanics in $D$ target dimensions. The ${\cal N}=8$ critical scalings $\lambda=\frac{1}{D-4}$ are linked to the $D$-dimensional harmonic functions with $D=1,2,3,5,6,7,8$. This talk is based on {J. Math. Phys.} {\bf 53} (2012) 043513 (arXiv:1112.0995), {J. Math. Phys.} {\bf 53} (2012) 103518 (arXiv:1208.3612) and some extra material.
- Ano
- 2012
- Número
- CBPF-NF-014/12
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não