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In this paper a Weyl scale invariant $p=3$ brane scenario is introduced, withthe brane embedded in a higher dimensional bulk space with $N=1, 5D$Super--Weyl symmetry. Its action, which describes its long wave oscillationmodes into the ambient superspace and breaks the target symmetry down to thelower dimensional Weyl W(1,3) symmetry, is constructed by the approach of cosetmethod.Comment: 12 pages, modified versio

Dynamics of the Weyl scale invariant non-BPS p = 3 brane