| Autor: |
Changhyun Ahn, Man Hea Kim |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Journal of High Energy Physics, Vol 2024, Iss 2, Pp 1-55 (2024) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP02(2024)006 |
| Popis: |
Abstract The four different kinds of currents are given by the multiple (β, γ) and (b, c) ghost systems with a multiple product of derivatives. We determine their complete algebra where the structure constants depend on the deformation parameter λ appearing in the conformal weights of above fields nontrivially and depend on the generic spins h 1 and h 2 appearing on the left hand sides in the (anti)commutators. By taking the linear combinations of these currents, the N $$ \mathcal{N} $$ = 4 supersymmetric linear W ∞ [λ] algebra (and its N $$ \mathcal{N} $$ = 4 superspace description) for generic λ is obtained explicitly. Moreover, we determine the N $$ \mathcal{N} $$ = 2 supersymmetric linear W ∞ [λ] algebra for arbitrary λ. As a by product, the λ deformed bosonic W 1+∞ [λ] × W 1+∞ λ + 1 2 $$ \left[\lambda +\frac{1}{2}\right] $$ subalgebra (a generalization of Pope, Romans and Shen’s work in 1990) is obtained. The first factor is realized by (b, c) fermionic fields while the second factor is realized by (β, γ) bosonic fields. The degrees of the polynomials in λ for the structure constants are given by (h 1 + h 2 – 2). Each w 1+∞ algebra from the celestial holography is reproduced by taking the vanishing limit of other deformation prameter q at λ = 0 with the contractions of the currents. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
Full text from SpringerLink