An orthonormal system on the construction of the generalized cantor set

The path integral of a conformal field theory on a bordered Riemann surface defines a state in a Hilbert space on this boundary. Over the ideal boundary, the Hausdorff dimension may be less than one. The integral representing the flux over the ideal boundary is evaluated through a generalization of the residue theorem. The identification of the state for infinite-genus surfaces with the vacuum state with a perturbative vacuum is distinguished from the Hilbert space on ideal boundaries of nonzero linear measure. This nonperturbative effect is identified as an instanton in a separate quantum theory.

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An orthonormal system on the construction of the generalized cantor set

Abstract: ABSTRACT. This

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References 6 publications

An orthonormal system of functions related to the rademacher system on [0,1)

An orthonormal system of functions related to the rademacher system on [0,1)

The physical states of a boundary conformal field theory

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