--- title: "Pure and entangled N = 4 linear supermultiplets and their one-dimensional sigma-models • CBPF Index" description: "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." canonical_url: "https://index.cbpf.br/en/publicacoes/6ad2a767639f62b11adbbb0e" locale: en meta: "og:description": "CBPF INDEX is the system that tracks the scientific and technological output of CBPF. It lists the articles, books, technical reports and other publications of the whole CBPF community." "og:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~UHVyZSBhbmQgZW50YW5nbGVkIE4gPSA0IGxpbmVhciBzdXBlcm11bHRpcGxldHMgYW5kIHRoZWlyIG9uZS1kaW1lbnNpb25hbCBzaWdtYS1tb2RlbHM%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TWFyY2VsbyBHb256YWxlczsga2V2aW4gSWdhOyBTYWRpIEtob2RhZWU7IEYuIFRvcHBhbg%2Cdetalhe_~MTEvMDUvMjAxMg%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmJiMGUi%2Cs_V9RdMmIzBrmA1P8E.png" "og:image:height": "600" "og:image:type": image/png "og:image:width": "1200" "og:title": "Pure and entangled N = 4 linear supermultiplets and their one-dimensional sigma-models • CBPF Index" "twitter:image": "https://index.cbpf.br/_og/d/c_Item%2Ctitulo_~UHVyZSBhbmQgZW50YW5nbGVkIE4gPSA0IGxpbmVhciBzdXBlcm11bHRpcGxldHMgYW5kIHRoZWlyIG9uZS1kaW1lbnNpb25hbCBzaWdtYS1tb2RlbHM%2Ctipo_Physics%2BNote%2Ccor_~I2E4MmMwMA%2Cautores_~TWFyY2VsbyBHb256YWxlczsga2V2aW4gSWdhOyBTYWRpIEtob2RhZWU7IEYuIFRvcHBhbg%2Cdetalhe_~MTEvMDUvMjAxMg%2Csecao_Publications%2Cp_Ii9lbi9wdWJsaWNhY29lcy82YWQyYTc2NzYzOWY2MmIxMWFkYmJiMGUi%2Cs_V9RdMmIzBrmA1P8E.png" --- > Index of every page on this site: [llms.txt](https://index.cbpf.br/llms.txt) **Physics Note****Published** # **Pure and entangled N = 4 linear supermultiplets and their one-dimensional sigma-models** **Marcelo Gonzales; kevin Iga; Sadi Khodaee; F. Toppan** 05/11/2012 [**Download PDF **0.5 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbbb0e/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=Pure%20and%20entangled%20N%20%3D%204%20linear%20supermultiplets%20and%20their%20one-dimensional%20sigma-models) ## **Publication details**
Authors
Marcelo Gonzales; kevin Iga; Sadi Khodaee; F. Toppan
Type
Physics Note
Status
Published
Publication date
11/05/2012
Description
“Pure” homogeneous linear supermultiplets (minimal and non-minimal) of the N = 4- Extended one-dimensional Supersymmetry Algebra are classified. “Pure” means that they admit at least one graphical presentation (the corresponding graph/graphs are known as “Adinkras”). We further prove the existence of “entangled” linear supermultiplets which do not admit a graphical presentation, by constructing an explicit example of an entangled N = 4 supermultiplet with field content (3, 8, 5). It interpolates between two inequivalent pure N = 4 supermultiplets with the same field content. The one-dimensional N = 4 sigma-model with a three-dimensional target based on the entangled supermultiplet is presented. The distinction between the notion of equivalence for pure supermultiplets and the notion of equivalence for their associated graphs (Adinkras) is discussed. Discrete properties such as “chirality” and “coloring” can discriminate different supermultiplets. The tools used in our classification include, among others, the notion of field content, connectivity symbol, commuting group, node choice group and so on.
Year
2012
Number
CBPF-NF-008/12
Linked to a thesis
No
Linked to a grant
No
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