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A toy model of Polyakov duality

Vipul Periwal
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Abstract

Polyakov has conjectured that Yang-Mills theory should be equivalent to a noncritical string theory. I pointed out, based on the work of Marchesini, Ishibashi, Kawai and collaborators, and Jevicki and Rodrigues, that the loop operator of the Yang-Mills theory is the temporal gauge string field theory Hamiltonian of a noncritical string theory. In the present note I explicitly show how this works for the one--plaquette model, providing a consistent direct string interpretation of the unitary matrix model for the first time.

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Vipul Periwal. 1999-09-08. A toy model of Polyakov duality. https://arxiv.org/abs/hep-th/9908203

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