The super BKP hierarchy from Clifford super module
The super BKP (SBKP) hierarchy in fermionic picture is constructed by embedding tensor product of infinite-dimensional Lie superalgebra of type B and Grassmann algebra into Clifford superalgebra. On the basis of bosonic counterpart, we construct the super Baker functions of the SBKP hierarchy and gi...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000367 |
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| author | Huizhan Chen |
| author_facet | Huizhan Chen |
| author_sort | Huizhan Chen |
| collection | DOAJ |
| description | The super BKP (SBKP) hierarchy in fermionic picture is constructed by embedding tensor product of infinite-dimensional Lie superalgebra of type B and Grassmann algebra into Clifford superalgebra. On the basis of bosonic counterpart, we construct the super Baker functions of the SBKP hierarchy and give a bilinear identity represented by it. The super differential operator is introduced and the bilinear identity in terms of the super pseudo-differential operator is shown. Finally, the solutions of non group orbits in the super fermionic Fock space are discussed. |
| format | Article |
| id | doaj-art-e1b4486c7eab45c1a4a371d9b51a53ce |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-e1b4486c7eab45c1a4a371d9b51a53ce2025-02-08T04:59:32ZengElsevierNuclear Physics B0550-32132025-03-011012116826The super BKP hierarchy from Clifford super moduleHuizhan Chen0School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221116, PR ChinaThe super BKP (SBKP) hierarchy in fermionic picture is constructed by embedding tensor product of infinite-dimensional Lie superalgebra of type B and Grassmann algebra into Clifford superalgebra. On the basis of bosonic counterpart, we construct the super Baker functions of the SBKP hierarchy and give a bilinear identity represented by it. The super differential operator is introduced and the bilinear identity in terms of the super pseudo-differential operator is shown. Finally, the solutions of non group orbits in the super fermionic Fock space are discussed.http://www.sciencedirect.com/science/article/pii/S0550321325000367Super BKP hierarchyClifford superalgebraSuper Baker functionsBilinear identityNon group orbits |
| spellingShingle | Huizhan Chen The super BKP hierarchy from Clifford super module Nuclear Physics B Super BKP hierarchy Clifford superalgebra Super Baker functions Bilinear identity Non group orbits |
| title | The super BKP hierarchy from Clifford super module |
| title_full | The super BKP hierarchy from Clifford super module |
| title_fullStr | The super BKP hierarchy from Clifford super module |
| title_full_unstemmed | The super BKP hierarchy from Clifford super module |
| title_short | The super BKP hierarchy from Clifford super module |
| title_sort | super bkp hierarchy from clifford super module |
| topic | Super BKP hierarchy Clifford superalgebra Super Baker functions Bilinear identity Non group orbits |
| url | http://www.sciencedirect.com/science/article/pii/S0550321325000367 |
| work_keys_str_mv | AT huizhanchen thesuperbkphierarchyfromcliffordsupermodule AT huizhanchen superbkphierarchyfromcliffordsupermodule |