The SDIFF(T-2)(local)-generalized Kac-Moody (G) over cap (T-2) symmetry is
an infinite-dimensional group on the torus membrane, whose Lie algebra is t
he semi-direct sum of the SDIFF(T-2)(local) algebra and the generalized Kac
-Moody algebra (T-2). In this paper, we construct the linearly realized gau
ge theory of the SDIFF(T-2)(local)-generalized Kac-Moody (G) over cap (T-2)
symmetry.