On affine Toda field theories related to ${\bf D}_r$ algebras and their real Hamiltonian forms
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911792320479232 |
|---|---|
| author | Gerdjikov, Vladimir S. Grahovski, Georgi G. |
| author_facet | Gerdjikov, Vladimir S. Grahovski, Georgi G. |
| contents | The paper deals with affine 2-dimensional Toda field theories related to simple Lie algebras of the classical series ${\bf D}_r$. We demonstrate that the complexification procedure followed by a restriction to a specified real Hamiltonian form commutes with the external automorphisms of $\mathfrak{g}$. This is illustrated on the examples ${\bf D}_{r+1}^{(1)} \to {\bf B}_r^{(1)}$ and ${\bf D}_4^{(1)} \to {\bf G}_2^{(1)}$ using external automorphisms of the corresponding extended Dynkin diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_18027 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On affine Toda field theories related to ${\bf D}_r$ algebras and their real Hamiltonian forms Gerdjikov, Vladimir S. Grahovski, Georgi G. Exactly Solvable and Integrable Systems High Energy Physics - Theory Mathematical Physics The paper deals with affine 2-dimensional Toda field theories related to simple Lie algebras of the classical series ${\bf D}_r$. We demonstrate that the complexification procedure followed by a restriction to a specified real Hamiltonian form commutes with the external automorphisms of $\mathfrak{g}$. This is illustrated on the examples ${\bf D}_{r+1}^{(1)} \to {\bf B}_r^{(1)}$ and ${\bf D}_4^{(1)} \to {\bf G}_2^{(1)}$ using external automorphisms of the corresponding extended Dynkin diagrams. |
| title | On affine Toda field theories related to ${\bf D}_r$ algebras and their real Hamiltonian forms |
| topic | Exactly Solvable and Integrable Systems High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.18027 |