Superconformal Mechanics and the Super Virasoro Algebra
We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2001-02 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Marcus, Alon |
| description | We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes. |
| doi_str_mv | 10.48550/arxiv.0101017 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2089227657</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2089227657</sourcerecordid><originalsourceid>FETCH-proquest_journals_20892276573</originalsourceid><addsrcrecordid>eNqNir0OgjAYABsTE4myOjdxBstXSnE0RuPiJHElFYtAsMWvYHx8f-IDmBtuuCNkHrEwToVgS4XP-hGy6IMcEQ84j4I0BpgQ37mGMQaJBCG4R-Rx6DQW1pQWb6qlB11UytSFo8pcaF9p-h3oqUblLFq6bq_6jGpGxqVqnfZ_npLFbptt9kGH9j5o1-eNHdC8Uw4sXQHIREj-3_UCLYY7SQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2089227657</pqid></control><display><type>article</type><title>Superconformal Mechanics and the Super Virasoro Algebra</title><source>Freely Accessible Journals</source><creator>Marcus, Alon</creator><creatorcontrib>Marcus, Alon</creatorcontrib><description>We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0101017</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Algebra ; Generators ; Mechanics ; Mechanics (physics)</subject><ispartof>arXiv.org, 2001-02</ispartof><rights>2001. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>781,785,27929</link.rule.ids></links><search><creatorcontrib>Marcus, Alon</creatorcontrib><title>Superconformal Mechanics and the Super Virasoro Algebra</title><title>arXiv.org</title><description>We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes.</description><subject>Algebra</subject><subject>Generators</subject><subject>Mechanics</subject><subject>Mechanics (physics)</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqNir0OgjAYABsTE4myOjdxBstXSnE0RuPiJHElFYtAsMWvYHx8f-IDmBtuuCNkHrEwToVgS4XP-hGy6IMcEQ84j4I0BpgQ37mGMQaJBCG4R-Rx6DQW1pQWb6qlB11UytSFo8pcaF9p-h3oqUblLFq6bq_6jGpGxqVqnfZ_npLFbptt9kGH9j5o1-eNHdC8Uw4sXQHIREj-3_UCLYY7SQ</recordid><startdate>20010227</startdate><enddate>20010227</enddate><creator>Marcus, Alon</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20010227</creationdate><title>Superconformal Mechanics and the Super Virasoro Algebra</title><author>Marcus, Alon</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20892276573</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>Algebra</topic><topic>Generators</topic><topic>Mechanics</topic><topic>Mechanics (physics)</topic><toplevel>online_resources</toplevel><creatorcontrib>Marcus, Alon</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Marcus, Alon</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Superconformal Mechanics and the Super Virasoro Algebra</atitle><jtitle>arXiv.org</jtitle><date>2001-02-27</date><risdate>2001</risdate><eissn>2331-8422</eissn><abstract>We consider N=1,2 superconformal mechanics in 0+1 dimensions and show that if the Hamiltonian is invertible the superconformal generators can be used to construct half of the super Virasoro algebra. The full algebra can be derived if the special conformal generator is also invertible. The generators are quantized and a general prescription is given for the construction of the N=1 algebra independently of the specific details of the superconformal mechanics provided that in addition its quadratic Casimir operator vanishes.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0101017</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2001-02 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_proquest_journals_2089227657 |
| source | Freely Accessible Journals |
| subjects | Algebra Generators Mechanics Mechanics (physics) |
| title | Superconformal Mechanics and the Super Virasoro Algebra |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-16T19%3A47%3A11IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Superconformal%20Mechanics%20and%20the%20Super%20Virasoro%20Algebra&rft.jtitle=arXiv.org&rft.au=Marcus,%20Alon&rft.date=2001-02-27&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0101017&rft_dat=%3Cproquest%3E2089227657%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2089227657&rft_id=info:pmid/&rfr_iscdi=true |