The Inversion Symmetry of the WDVV Equations and Tau Functions
For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also cons...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2013-05 |
|---|---|
| Hauptverfasser: | , , |
| 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 | Si-Qi, Liu Xu, Dingdian Zhang, Youjin |
| description | For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies. |
| format | Article |
| fullrecord | <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2085629788</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2085629788</sourcerecordid><originalsourceid>FETCH-proquest_journals_20856297883</originalsourceid><addsrcrecordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mSwC8lIVfDMK0stKs7Mz1MIrszNTS0pqlTIT1MoAcqEu4SFKbgWliaWAGWLFRLzUhRCEksV3ErzksEiPAysaYk5xam8UJqbQdnNNcTZQ7egKL-wNLW4JD4rv7QoDygVb2RgYWpmZGluYWFMnCoAa5Q3xQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2085629788</pqid></control><display><type>article</type><title>The Inversion Symmetry of the WDVV Equations and Tau Functions</title><source>Free E- Journals</source><creator>Si-Qi, Liu ; Xu, Dingdian ; Zhang, Youjin</creator><creatorcontrib>Si-Qi, Liu ; Xu, Dingdian ; Zhang, Youjin</creatorcontrib><description>For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Deformation ; Hierarchies ; Mathematical analysis ; Symmetry ; Transformations (mathematics)</subject><ispartof>arXiv.org, 2013-05</ispartof><rights>2013. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (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>777,781</link.rule.ids></links><search><creatorcontrib>Si-Qi, Liu</creatorcontrib><creatorcontrib>Xu, Dingdian</creatorcontrib><creatorcontrib>Zhang, Youjin</creatorcontrib><title>The Inversion Symmetry of the WDVV Equations and Tau Functions</title><title>arXiv.org</title><description>For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies.</description><subject>Deformation</subject><subject>Hierarchies</subject><subject>Mathematical analysis</subject><subject>Symmetry</subject><subject>Transformations (mathematics)</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNpjYuA0MjY21LUwMTLiYOAtLs4yMDAwMjM3MjU15mSwC8lIVfDMK0stKs7Mz1MIrszNTS0pqlTIT1MoAcqEu4SFKbgWliaWAGWLFRLzUhRCEksV3ErzksEiPAysaYk5xam8UJqbQdnNNcTZQ7egKL-wNLW4JD4rv7QoDygVb2RgYWpmZGluYWFMnCoAa5Q3xQ</recordid><startdate>20130505</startdate><enddate>20130505</enddate><creator>Si-Qi, Liu</creator><creator>Xu, Dingdian</creator><creator>Zhang, Youjin</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>20130505</creationdate><title>The Inversion Symmetry of the WDVV Equations and Tau Functions</title><author>Si-Qi, Liu ; Xu, Dingdian ; Zhang, Youjin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_20856297883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Deformation</topic><topic>Hierarchies</topic><topic>Mathematical analysis</topic><topic>Symmetry</topic><topic>Transformations (mathematics)</topic><toplevel>online_resources</toplevel><creatorcontrib>Si-Qi, Liu</creatorcontrib><creatorcontrib>Xu, Dingdian</creatorcontrib><creatorcontrib>Zhang, Youjin</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>Si-Qi, Liu</au><au>Xu, Dingdian</au><au>Zhang, Youjin</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>The Inversion Symmetry of the WDVV Equations and Tau Functions</atitle><jtitle>arXiv.org</jtitle><date>2013-05-05</date><risdate>2013</risdate><eissn>2331-8422</eissn><abstract>For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related by a Legendre type transformation. We also consider relationships between the Virasoro constraints and the topological deformations of the principal hierarchies.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2013-05 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_proquest_journals_2085629788 |
| source | Free E- Journals |
| subjects | Deformation Hierarchies Mathematical analysis Symmetry Transformations (mathematics) |
| title | The Inversion Symmetry of the WDVV Equations and Tau Functions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-20T03%3A52%3A44IST&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=The%20Inversion%20Symmetry%20of%20the%20WDVV%20Equations%20and%20Tau%20Functions&rft.jtitle=arXiv.org&rft.au=Si-Qi,%20Liu&rft.date=2013-05-05&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2085629788%3C/proquest%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2085629788&rft_id=info:pmid/&rfr_iscdi=true |