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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.00064 |
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| _version_ | 1866911293852614656 |
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| author | Chakraborty, Arindam |
| author_facet | Chakraborty, Arindam |
| contents | The article presents various Witt type vector field realizations of 2-D Cayley-Klein algebras with non-vanishing curvatures. The expressions of the vector fields involve Jacobi elliptic functions whose moduli are directly related to the parameters that appear in the corresponding matrix representation obtained from a bi-orthogonal set of vectors. First, the realizations are obtained with the values of the moduli lying in the unit interval (0, 1). The parameter of biorthogonality plays a crucial role in this context. Later, with the help of modular transformation, realizations involving arbitrary moduli have been obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00064 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Witt type Realizations of 2-D Cayley-Klein Algebras with non-zero curvatures Chakraborty, Arindam Mathematical Physics The article presents various Witt type vector field realizations of 2-D Cayley-Klein algebras with non-vanishing curvatures. The expressions of the vector fields involve Jacobi elliptic functions whose moduli are directly related to the parameters that appear in the corresponding matrix representation obtained from a bi-orthogonal set of vectors. First, the realizations are obtained with the values of the moduli lying in the unit interval (0, 1). The parameter of biorthogonality plays a crucial role in this context. Later, with the help of modular transformation, realizations involving arbitrary moduli have been obtained. |
| title | Witt type Realizations of 2-D Cayley-Klein Algebras with non-zero curvatures |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2512.00064 |