N = 2 supersymmetric BKP hierarchy with SW1+∞ symmetries and its multicomponent generalization
In this paper, we define a N=2 supersymmetric BKP(SBKP) hierarchy which is a N=2 extension of the supersymmetric BKP hierarchy and construct its additional symmetries. These additional flows constitute an interesting B type SW1+∞ Lie algebra. Further we generalize the N=2 SBKP hierarchy to a N=2 sup...
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| Format: | Article |
| Language: | English |
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Elsevier
2021-09-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269321005037 |
| Summary: | In this paper, we define a N=2 supersymmetric BKP(SBKP) hierarchy which is a N=2 extension of the supersymmetric BKP hierarchy and construct its additional symmetries. These additional flows constitute an interesting B type SW1+∞ Lie algebra. Further we generalize the N=2 SBKP hierarchy to a N=2 supersymmetric multi-component BKP hierarchy equipped with a B type ⨂SW1+∞ Lie algebra. These studies are the further extension on our previous work published in Nucl. Phys. B in 2015. |
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| ISSN: | 0370-2693 |