Abstract
In a paper by C. N. Pope and K. S. Stelle [Phys. Lett. B 226, 257–263 (1989)], it was shown that the algebra of local area‐preserving diffeomorphisms on the torus is equivalent to su(∞). In this paper we present a few remarks on the universal central extension of this infinite dimensional Lie algebra, and construct, for this case, in analogy to the situation in which the affine Lie algebra has an underlying finite‐dimensional Lie algebra, the nontrivial universal central extension.
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