U(1)-EXTENDED GAUGE ALGEBRAS IN P-LOOP SPACE
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abstract
We consider, for p odd, a p-brane coupled to a (p + 1)th-rank background antisymmetric tensor field and to background Yang-Mills (YM) fields via a Wess-Zumino term. We obtain the generators of antisymmetric tensor and Yang-Mills gauge transformations acting on p-brane wave functionals (functions on "p-loop space"). The Yang-Mills generators do not form a closed algebra by themselves; instead, the algebra of Yang-Mills and antisymmetric tensor generators is a U(1) extension of the usual algebra of Yang-Mills gauge transformations. We construct the p-brane's hamiltonian and thereby find gauge-covariant functional derivatives acting on p-brane wave functionals that commute with the YM and U(1) generators. 1993.
