Poisson vertex algebras in supersymmetric field theories
A large class of supersymmetric quantum field theories, including all theories with N = 2 supersymmetry in three dimensions and theories with N = 2 supersymmetry in four dimensions, possess topological–holomorphic sectors. We formulate Poisson vertex algebras in such topological–holomorphic sectors...
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| Veröffentlicht in: | Letters in mathematical physics 2020-08, Vol.110 (8), p.2245-2275 |
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| container_title | Letters in mathematical physics |
| container_volume | 110 |
| creator | Oh, Jihwan Yagi, Junya |
| description | A large class of supersymmetric quantum field theories, including all theories with
N
=
2
supersymmetry in three dimensions and theories with
N
=
2
supersymmetry in four dimensions, possess topological–holomorphic sectors. We formulate Poisson vertex algebras in such topological–holomorphic sectors and discuss some examples. For a four-dimensional
N
=
2
superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory. |
| doi_str_mv | 10.1007/s11005-020-01290-0 |
| format | Article |
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N
=
2
supersymmetry in three dimensions and theories with
N
=
2
supersymmetry in four dimensions, possess topological–holomorphic sectors. We formulate Poisson vertex algebras in such topological–holomorphic sectors and discuss some examples. For a four-dimensional
N
=
2
superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory.</description><identifier>ISSN: 0377-9017</identifier><identifier>EISSN: 1573-0530</identifier><identifier>DOI: 10.1007/s11005-020-01290-0</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Algebra ; Complex Systems ; Field theory ; Geometry ; Group Theory and Generalizations ; Mathematical analysis ; Mathematical and Computational Physics ; Operators (mathematics) ; Physics ; Physics and Astronomy ; Quantum theory ; Supersymmetry ; Theoretical ; Topology</subject><ispartof>Letters in mathematical physics, 2020-08, Vol.110 (8), p.2245-2275</ispartof><rights>Springer Nature B.V. 2020</rights><rights>Springer Nature B.V. 2020.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-bdd96c6a78fe4e3a02ef592132e44b9bc96222be27a0ea1af28f3db058fca0463</citedby><cites>FETCH-LOGICAL-c319t-bdd96c6a78fe4e3a02ef592132e44b9bc96222be27a0ea1af28f3db058fca0463</cites><orcidid>0000-0003-1071-8908</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11005-020-01290-0$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11005-020-01290-0$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Oh, Jihwan</creatorcontrib><creatorcontrib>Yagi, Junya</creatorcontrib><title>Poisson vertex algebras in supersymmetric field theories</title><title>Letters in mathematical physics</title><addtitle>Lett Math Phys</addtitle><description>A large class of supersymmetric quantum field theories, including all theories with
N
=
2
supersymmetry in three dimensions and theories with
N
=
2
supersymmetry in four dimensions, possess topological–holomorphic sectors. We formulate Poisson vertex algebras in such topological–holomorphic sectors and discuss some examples. For a four-dimensional
N
=
2
superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory.</description><subject>Algebra</subject><subject>Complex Systems</subject><subject>Field theory</subject><subject>Geometry</subject><subject>Group Theory and Generalizations</subject><subject>Mathematical analysis</subject><subject>Mathematical and Computational Physics</subject><subject>Operators (mathematics)</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum theory</subject><subject>Supersymmetry</subject><subject>Theoretical</subject><subject>Topology</subject><issn>0377-9017</issn><issn>1573-0530</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK7-AU8Fz9XJpGmaoyx-wYIe9BzSdrJ22W3XTFf03xut4M3LvJf3eQceIc4lXEoAc8Uyhc4BIQeJNt0DMZPaqBy0gkMxA2VMbkGaY3HCvIYEoYaZqJ6Gjnnos3eKI31kfrOiOnrOuj7j_Y4if263NMauyUJHmzYbX2mIHfGpOAp-w3T2m3PxcnvzvLjPl493D4vrZd4oace8bltbNqU3VaCClAekoC1KhVQUta0bWyJiTWg8kJc-YBVUW4OuQuOhKNVcXEy7uzi87YlHtx72sU8vHRZYam0NYGrh1GriwBwpuF3stj5-Ognu25CbDLlkyP0YcpAgNUGcyv2K4t_0P9QX23lpDA</recordid><startdate>20200801</startdate><enddate>20200801</enddate><creator>Oh, Jihwan</creator><creator>Yagi, Junya</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-1071-8908</orcidid></search><sort><creationdate>20200801</creationdate><title>Poisson vertex algebras in supersymmetric field theories</title><author>Oh, Jihwan ; Yagi, Junya</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-bdd96c6a78fe4e3a02ef592132e44b9bc96222be27a0ea1af28f3db058fca0463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Algebra</topic><topic>Complex Systems</topic><topic>Field theory</topic><topic>Geometry</topic><topic>Group Theory and Generalizations</topic><topic>Mathematical analysis</topic><topic>Mathematical and Computational Physics</topic><topic>Operators (mathematics)</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum theory</topic><topic>Supersymmetry</topic><topic>Theoretical</topic><topic>Topology</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Oh, Jihwan</creatorcontrib><creatorcontrib>Yagi, Junya</creatorcontrib><collection>CrossRef</collection><jtitle>Letters in mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Oh, Jihwan</au><au>Yagi, Junya</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Poisson vertex algebras in supersymmetric field theories</atitle><jtitle>Letters in mathematical physics</jtitle><stitle>Lett Math Phys</stitle><date>2020-08-01</date><risdate>2020</risdate><volume>110</volume><issue>8</issue><spage>2245</spage><epage>2275</epage><pages>2245-2275</pages><issn>0377-9017</issn><eissn>1573-0530</eissn><abstract>A large class of supersymmetric quantum field theories, including all theories with
N
=
2
supersymmetry in three dimensions and theories with
N
=
2
supersymmetry in four dimensions, possess topological–holomorphic sectors. We formulate Poisson vertex algebras in such topological–holomorphic sectors and discuss some examples. For a four-dimensional
N
=
2
superconformal field theory, the associated Poisson vertex algebra is the classical limit of a vertex algebra generated by a subset of local operators of the theory.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11005-020-01290-0</doi><tpages>31</tpages><orcidid>https://orcid.org/0000-0003-1071-8908</orcidid></addata></record> |
| fulltext | fulltext |
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| ispartof | Letters in mathematical physics, 2020-08, Vol.110 (8), p.2245-2275 |
| issn | 0377-9017 1573-0530 |
| language | eng |
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| subjects | Algebra Complex Systems Field theory Geometry Group Theory and Generalizations Mathematical analysis Mathematical and Computational Physics Operators (mathematics) Physics Physics and Astronomy Quantum theory Supersymmetry Theoretical Topology |
| title | Poisson vertex algebras in supersymmetric field theories |
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