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...
| Hlavní autor: | |
|---|---|
| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Elsevier
2025-03-01
|
| Edice: | Nuclear Physics B |
| Témata: | |
| On-line přístup: | http://www.sciencedirect.com/science/article/pii/S0550321325000367 |
| Shrnutí: | 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. |
|---|---|
| ISSN: | 0550-3213 |