About: Super-Poincaré algebra

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Super-Poincaré algebra Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Science105999797, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FSuper-Poincaré_algebra&invfp=IFP_OFF&sas=SAME_AS_OFF

In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras (without central charges or internal symmetries), and are Lie superalgebras. Thus a super-Poincaré algebra is a Z2-graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part.

Attributes	Values
rdf:type	Thing yago:WikicatLieAlgebras yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Content105809192 yago:Discipline105996646 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 yago:Science105999797
rdfs:label	Superalgebra di Poincaré (it) Super-Poincaré algebra (en)
rdfs:comment	In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras (without central charges or internal symmetries), and are Lie superalgebras. Thus a super-Poincaré algebra is a Z2-graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part. (en) In fisica teorica, la superalgebra di Poincaré (o algebra di super-Poincaré) estende l'algebra di Poincaré con l'aggiunta della supersimmetria, una relazione tra bosoni e fermioni. La più semplice estensione supersimmetrica dell'algebra di Poincaré contiene due spinori di Weyl che soddisfano alla seguente relazione di anti-commutazione: e tutte le relazioni di anti-commutatione fra le e le sono nulle. Dove i sono i generatori delle traslazioni, le sono le matrici di Pauli e le sono le supercariche ovvero sono i generatori di una trasformazione di supersimmetria. (it)
rdfs:seeAlso	Extended supersymmetry
dcterms:subject	Lie algebras Supersymmetry
Wikipage page ID	1057955 (xsd:integer)
Wikipage revision ID	1121195065 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Quark Pauli matrices Representation theory of the Lorentz group Jacobi identity Lie superalgebra Lie algebras Coset Graded algebra Minkowski metric Lie algebra Littlewood–Richardson rule Fundamental representation Ideal (ring theory) Theoretical physics Supergroup (physics) Supersymmetry Central extension (mathematics) Dual representation Haag–Łopuszański–Sohnius theorem Trivial representation Supersymmetry algebra Adjoint representation Central charge Dirac spinor Direct sum Grassmann number Equivariant Tensor product Reductive Lie algebra Charge (physics) Chirality (physics) Supergravity Coleman–Mandula theorem Boson Pion Spinor Fermion Semidirect product Superspace Poincaré group Supersymmetry Supercharge Physics Reports Superstring theory JETP Letters Vector particle Dirac matrix Minkowski spacetime Poincaré algebra Internal symmetry Weyl spinor Anticommutator Star Lie superalgebra
Link from a Wikipage to an external page	http://cds.cern.ch/record/201649 http://www.jetpletters.ac.ru/ps/1584/article_24309.shtml%7Cbibcode=1971JETPL..13..323G http://www.jetpletters.ac.ru/ps/1766/article_26864.shtml
sameAs	Super-Poincaré algebra Super-Poincaré algebra Super-Poincaré algebra Super-Poincaré algebra
dbp:wikiPageUsesTemplate	dbt:Supersymmetry_topics dbt:Citation_needed dbt:Cite_arXiv dbt:Cite_book dbt:Cite_journal dbt:Math dbt:More_citations_needed dbt:Reflist dbt:See_also
has abstract	In theoretical physics, a super-Poincaré algebra is an extension of the Poincaré algebra to incorporate supersymmetry, a relation between bosons and fermions. They are examples of supersymmetry algebras (without central charges or internal symmetries), and are Lie superalgebras. Thus a super-Poincaré algebra is a Z2-graded vector space with a graded Lie bracket such that the even part is a Lie algebra containing the Poincaré algebra, and the odd part is built from spinors on which there is an anticommutation relation with values in the even part. (en) In fisica teorica, la superalgebra di Poincaré (o algebra di super-Poincaré) estende l'algebra di Poincaré con l'aggiunta della supersimmetria, una relazione tra bosoni e fermioni. La più semplice estensione supersimmetrica dell'algebra di Poincaré contiene due spinori di Weyl che soddisfano alla seguente relazione di anti-commutazione: e tutte le relazioni di anti-commutatione fra le e le sono nulle. Dove i sono i generatori delle traslazioni, le sono le matrici di Pauli e le sono le supercariche ovvero sono i generatori di una trasformazione di supersimmetria. (it)
prov:wasDerivedFrom	wikipedia-en:Super-Poincaré_algebra?oldid=1121195065&ns=0
page length (characters) of wiki page	16221 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Super-Poincaré_algebra
is Link from a Wikipage to another Wikipage of	List of things named after Henri Poincaré Index of physics articles (S) Lie superalgebra Wess–Zumino model

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 67 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software