A NEW HIGHER-SPIN ALGEBRA AND THE LONE-STAR PRODUCT Academic Article uri icon

abstract

  • In two recent papers, we constructed a new N limit of the WN 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 W1+, 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 W1+, 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. 1990.

published proceedings

  • PHYSICS LETTERS B

author list (cited authors)

  • POPE, C. N., ROMANS, L. J., & SHEN, X.

citation count

  • 113

complete list of authors

  • POPE, CN||ROMANS, LJ||SHEN, X

publication date

  • June 1990