--- title: "New aspects of the Z2× Z2-graded 1D superspace: induced strings and 2D relativistic models • 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/6ad2a767639f62b11adbd5dc" 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_~TmV3IGFzcGVjdHMgb2YgdGhlIFoyw5cgWjItZ3JhZGVkIDFEIHN1cGVyc3BhY2U6IGluZHVjZWQgc3RyaW5ncyBhbmQgMkQgcmVsYXRpdmlzdGljIG1vZGVscw%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~Ti4gQWl6YXdhOyBSLiBJdG87IFouIEt1em5ldHNvdmE7IEYuIFRvcHBhbg%2Cdetalhe_~MTMvMDIvMjAyMw%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmQ1ZGMi%2Cs_w-IOTLMI5giWxwbZ.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "New aspects of the Z2× Z2-graded 1D superspace: induced strings and 2D relativistic models • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~TmV3IGFzcGVjdHMgb2YgdGhlIFoyw5cgWjItZ3JhZGVkIDFEIHN1cGVyc3BhY2U6IGluZHVjZWQgc3RyaW5ncyBhbmQgMkQgcmVsYXRpdmlzdGljIG1vZGVscw%2Ctipo_~Tm90YSBkZSBGw61zaWNh%2Ccor_~I2E4MmMwMA%2Cautores_~Ti4gQWl6YXdhOyBSLiBJdG87IFouIEt1em5ldHNvdmE7IEYuIFRvcHBhbg%2Cdetalhe_~MTMvMDIvMjAyMw%2Csecao_Publicaciones%2Cp_Ii9lcy9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmQ1ZGMi%2Cs_w-IOTLMI5giWxwbZ.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Nota de Física****Publicado** # **New aspects of the **Z2×Z2{\\mathbb Z}\_2\\times {\\mathbb Z}\_2Z2​×Z2​**-graded **1D1D1D** superspace: induced strings and **2D2D2D** relativistic models** **N. Aizawa; R. Ito; Z. Kuznetsova; F. Toppan** 13/02/2023 [**Descargar PDF **1,2 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbd5dc/pdf) [**Contactar al responsable**](mailto:apub@cbpf.br?subject=New%20aspects%20of%20the%20Z2%C3%97%20Z2-graded%201D%20superspace%3A%20induced%20strings%20and%202D%20relativistic%20models) ## **Datos de la publicación**
Autores
N. Aizawa; R. Ito; Z. Kuznetsova; F. Toppan
Tipo
Nota de Física
Estado
Publicado
Fecha de publicación
13/02/2023
Descripción
A novel feature of the ${\mathbb Z}_2\times {\mathbb Z}_2$-graded supersymmetry which finds no counterpart in ordinary supersymmetry is the presence of $11$-graded exotic bosons (implied by the existence of two classes of parafermions). Their interpretation, both physical and mathematical, presents a challenge. The role of the ``exotic bosonic coordinate" was not considered by previous works on the one-dimensional \zzg superspace (which was restricted to produce point-particle models). By treating this coordinate at par with the other graded superspace coordinates new consequences are obtained. The graded superspace calculus of the \zzg worldline super-Poincar\'e algebra induces two-dimensional \zzg relativistic models; they are invariant under a new \zzg $2D$ super-Poincar\'e algebra which differs from the previous two \zzg $2D$ versions of super-Poincar\'e introduced in the literature. In this new superalgebra the second translation generator and the Lorentz boost are $11$-graded. Furthermore, if the exotic coordinate is compactified on a circle ${\bf S}^1$, a \zzg closed string with periodic boundary conditions is derived. \\ The analysis of the irreducibility conditions of the $2D$ supermultiplet implies that a larger $(\beta$-deformed, where $\beta\geq 0$ is a real parameter) class of point-particle models than the ones discussed so far in the literature (recovered at $\beta=0$) is obtained. While the spectrum of the $\beta=0$ point-particle models is degenerate (due to its relation with an ${\cal N}=2$ supersymmetry), this is no longer the case for the $\beta> 0$ models.
Año
2022
Número
CBPF-NF-004/22
Vínculo con tesis
No
Vínculo con beca
No
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