--- title: "Four types of (super)conformal mechanics:D-module reps and invariant actions • CBPF Index" description: "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." canonical_url: "https://index.cbpf.br/es/publicacoes/6ad2a767639f62b11adbc1b3" locale: es meta: "og:description": "CBPF INDEX es el sistema de seguimiento de la producción científica y tecnológica del CBPF. En él se puede obtener la lista de publicaciones de artículos, libros, informes técnicos, etc. de toda la comunidad del CBPF." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~Rm91ciB0eXBlcyBvZiAoc3VwZXIpY29uZm9ybWFsIG1lY2hhbmljczpELW1vZHVsZSByZXBzIGFuZCBpbnZhcmlhbnQgYWN0aW9ucw%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_N.L.%2BHolanda%2Cdetalhe_~MTgvMDMvMjAxNA%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmMxYjMi%2Cs_M9T3sRMDIQpekZDf.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Four types of (super)conformal mechanics:D-module reps and invariant actions • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~Rm91ciB0eXBlcyBvZiAoc3VwZXIpY29uZm9ybWFsIG1lY2hhbmljczpELW1vZHVsZSByZXBzIGFuZCBpbnZhcmlhbnQgYWN0aW9ucw%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_N.L.%2BHolanda%2Cdetalhe_~MTgvMDMvMjAxNA%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmMxYjMi%2Cs_M9T3sRMDIQpekZDf.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **Four types of (super)conformal mechanics:D-module reps and invariant actions** **N.L. Holanda** 18/03/2014 [**Descargar PDF **0,3 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbc1b3/pdf) [**Contactar al responsable**]() ## **Datos de la publicación**
Autores
N.L. Holanda
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
18/03/2014
Descripción
(Super)conformal mechanics in one dimension is induced by parabolic or hyperbolic/trigonometric transformations, either homogeneous (for a scaling dimension $\lambda$) or inhomogeneous (at $\lambda=0$, with $\rho$ an inhomogeneity parameter). Four types of inequivalent (super)conformal actions are thus obtained. With the exclusion of the homogeneous parabolic case, dimensional constants are present. \par Both the inhomogeneity and the insertion of $\lambda$ generalize the construction of Papadopoulos [CQG 30 (2013) 075018; arXiv:1210.1719].\par Inhomogeneous $D$-module reps are presented for the $d=1$ superconformal algebras $osp(1|2)$, $sl(2|1)$, $B(1,1)$ and $A(1,1)$. For centerless superVirasoro algebras $D$-module reps are presented (in the homogeneous case for ${\cal N}=1,2,3,4$; in the inhomogeneous case for ${\cal N}=1,2,3$).\par The four types of $d=1$ superconformal actions are derived for ${\cal N}=1,2,4$ systems. When ${\cal N}=4$, the homogeneously-induced actions are $D(2,1;\alpha)$-invariant ($\alpha$ is critically linked to $\lambda$); the inhomogeneously-induced actions are $A(1,1)$-invariant.\par In $d=2$, for a single bosonic field, the homogeneous transformations induce a conformally invariant power-law action, while the inhomogeneous transformations induce the conformally invariant Liouville action.
Año
2014
Número
CBPF-NF-001/14
Vínculo con tesis
Doctorado
Vínculo con beca
No
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