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arXiv · hep-th/0502174

Simplicial vs. Continuum String Theory and Loop Equations

Emil T. Akhmedov
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Abstract

We derive loop equations in a scalar matrix field theory. We discuss their solutions in terms of simplicial string theory -- the theory describing embeddings of two--dimensional simplicial complexes into the space--time of the matrix field theory. This relation between the loop equations and the simplicial string theory gives further arguments that favor one of the statements of the paper hep-th/0407018. The statement is that there is an equivalence between the partition function of the simplicial string theory and the functional integral in a continuum string theory -- the theory describing embeddings of smooth two--dimensional world--sheets into the space--time of the matrix field theory in question.

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Emil T. Akhmedov. 2005-04-07. Simplicial vs. Continuum String Theory and Loop Equations. https://doi.org/10.1134/1.1951007

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