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We construct the generalized W1+∞ algebra with the multi-variable realization and derive its n-algebra which is the generalized Lie algebra for even n case. Then we reinvestigate the elliptic hermitian matrix model and present the generalized q-W∞ constraints, where the abelian current operators are truncated. By applying the strategy of carrying out the action of the operators on the partition function,...
The diffeomorphism subgroup of the torus membrane is an infinite-dimensional group whose adjoint representation is unitary. In this paper, we construct the gauge theory of this group.
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