Classification of linearly compact simple algebraic N = 6 3-algebras
N ≤ 8 3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algebras for any n ≥ 3. In the present paper we classify algebraic linearly compact simple N = 6 3-algebras over an algebraically...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Published: |
Springer-Verlag
2018
|
| Online Access: | http://hdl.handle.net/1721.1/115844 https://orcid.org/0000-0002-2860-7811 |
| _version_ | 1826208537163857920 |
|---|---|
| author | Cantarini, Nicoletta Kac, Victor |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Cantarini, Nicoletta Kac, Victor |
| author_sort | Cantarini, Nicoletta |
| collection | MIT |
| description | N ≤ 8 3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algebras for any n ≥ 3. In the present paper we classify algebraic linearly compact simple N = 6 3-algebras over an algebraically closed field of characteristic 0, using their correspondence with simple linearly compact Lie superalgebras with a consistent short ℤ-grading, endowed with a graded conjugation. We also briey discuss N = 5 3-algebras. |
| first_indexed | 2024-09-23T14:06:52Z |
| format | Article |
| id | mit-1721.1/115844 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:06:52Z |
| publishDate | 2018 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/1158442022-10-01T19:18:39Z Classification of linearly compact simple algebraic N = 6 3-algebras Cantarini, Nicoletta Kac, Victor Massachusetts Institute of Technology. Department of Mathematics Kac, Victor N ≤ 8 3-algebras have recently appeared in N-supersymmetric 3-dimensional Chern-Simons gauge theories. In our previous paper we classified linearly compact simple N = 8 n-algebras for any n ≥ 3. In the present paper we classify algebraic linearly compact simple N = 6 3-algebras over an algebraically closed field of characteristic 0, using their correspondence with simple linearly compact Lie superalgebras with a consistent short ℤ-grading, endowed with a graded conjugation. We also briey discuss N = 5 3-algebras. 2018-05-24T15:51:45Z 2018-05-24T15:51:45Z 2011-05 2018-05-24T12:15:27Z Article http://purl.org/eprint/type/JournalArticle 1083-4362 1531-586X http://hdl.handle.net/1721.1/115844 Cantarini, Nicoletta and Victor G. Kac. “Classification of Linearly Compact Simple Algebraic N = 6 3-Algebras.” Transformation Groups 16, 3 (May 2011): 649–671 © 2011 Birkhäuser Boston https://orcid.org/0000-0002-2860-7811 http://dx.doi.org/10.1007/s00031-011-9143-8 Transformation Groups Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Cantarini, Nicoletta Kac, Victor Classification of linearly compact simple algebraic N = 6 3-algebras |
| title | Classification of linearly compact simple algebraic N = 6 3-algebras |
| title_full | Classification of linearly compact simple algebraic N = 6 3-algebras |
| title_fullStr | Classification of linearly compact simple algebraic N = 6 3-algebras |
| title_full_unstemmed | Classification of linearly compact simple algebraic N = 6 3-algebras |
| title_short | Classification of linearly compact simple algebraic N = 6 3-algebras |
| title_sort | classification of linearly compact simple algebraic n 6 3 algebras |
| url | http://hdl.handle.net/1721.1/115844 https://orcid.org/0000-0002-2860-7811 |
| work_keys_str_mv | AT cantarininicoletta classificationoflinearlycompactsimplealgebraicn63algebras AT kacvictor classificationoflinearlycompactsimplealgebraicn63algebras |