Simplicial vs. Continuum String Theory and Loop Equations

Akhmedov, E. T.

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Simplicial vs. Continuum String Theory and Loop Equations

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Akhmedov, E. T.
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Akhmedov, E. T. (2005). Simplicial vs. Continuum String Theory and Loop Equations. JETP Letters, 81(8), 357-360.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4ED1-5

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 spacetime 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 spacetime of the matrix field theory in question. (C) 2005 Pleiades Publishing, Inc.