Differential conformal superalgebras and their forms
We introduce the formalism of differential conformal superalgebras, which we show leads to the “correct” automorphism group functor and accompanying descent theory in the conformal setting. As an application, we classify forms of N=2 and N=4 conformal superalgebras by means of Galois cohomology.
| Main Authors: | , , |
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| Format: | Article |
| Language: | en_US |
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Elsevier
2011
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| Online Access: | http://hdl.handle.net/1721.1/64403 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826217152799047680 |
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| author | Kac, Victor Lau, Michael Pianzola, Arturo |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Kac, Victor Lau, Michael Pianzola, Arturo |
| author_sort | Kac, Victor |
| collection | MIT |
| description | We introduce the formalism of differential conformal superalgebras, which we show leads to the “correct” automorphism group functor and accompanying descent theory in the conformal setting. As an application, we classify forms of N=2 and N=4 conformal superalgebras by means of Galois cohomology. |
| first_indexed | 2024-09-23T16:59:11Z |
| format | Article |
| id | mit-1721.1/64403 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:59:11Z |
| publishDate | 2011 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/644032022-10-03T09:35:31Z Differential conformal superalgebras and their forms Kac, Victor Lau, Michael Pianzola, Arturo Massachusetts Institute of Technology. Department of Mathematics Kac, Victor Kac, Victor We introduce the formalism of differential conformal superalgebras, which we show leads to the “correct” automorphism group functor and accompanying descent theory in the conformal setting. As an application, we classify forms of N=2 and N=4 conformal superalgebras by means of Galois cohomology. 2011-06-10T14:55:11Z 2011-06-10T14:55:11Z 2009-06 2008-05 Article http://purl.org/eprint/type/JournalArticle 0001-8708 http://hdl.handle.net/1721.1/64403 Kac, Victor, Michael Lau, and Arturo Pianzola. “Differential Conformal Superalgebras and Their Forms.” Advances in Mathematics 222.3 (2009) : 809-861. https://orcid.org/0000-0002-2860-7811 en_US http://dx.doi.org/10.1016/j.aim.2009.05.012 Advances in Mathematics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Elsevier Prof. Kac via Michael Noga |
| spellingShingle | Kac, Victor Lau, Michael Pianzola, Arturo Differential conformal superalgebras and their forms |
| title | Differential conformal superalgebras and their forms |
| title_full | Differential conformal superalgebras and their forms |
| title_fullStr | Differential conformal superalgebras and their forms |
| title_full_unstemmed | Differential conformal superalgebras and their forms |
| title_short | Differential conformal superalgebras and their forms |
| title_sort | differential conformal superalgebras and their forms |
| url | http://hdl.handle.net/1721.1/64403 https://orcid.org/0000-0002-2860-7811 |
| work_keys_str_mv | AT kacvictor differentialconformalsuperalgebrasandtheirforms AT laumichael differentialconformalsuperalgebrasandtheirforms AT pianzolaarturo differentialconformalsuperalgebrasandtheirforms |