A New Higher Spin Algebra and the Lone Star Product
Jan, 19906 pages
Published in:
- Phys.Lett.B 242 (1990) 401-406
- Published: 1990
Report number:
- USC-90/HEP01,
- CTP-TAMU-17/90
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Abstract: (Elsevier)
In two recent papers, we constructed a new N →∞ limit of the W N algebras, which we denote W ∞ having generators of conformal spins 2, 3, …, with central terms for all spins. In this paper, we constrct another new algebra, which we denote W 1+∞ , with generators of conformal spins, 1, 2, 3, …, again with central terms for all spins. The requirement that the algebras be closed requires that one include the spin-1 generators in W 1+∞ , and prohibits their inclusion in W ∞ . Paralleling our analogous construction for W ∞ , we show that the new algebra can also be realised as the antisymmetric part of an associative “lone-star” product, which also closes on the set of generators with conformal spins ⩾1.- spin: high
- high: spin
- algebra: W(N)
- spin: conformal
- conformal: spin
- central charge
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