Four-Dimensional Random Surfaces and One-Dimensional String Theory

Dmitri DOLGOV

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arXiv · hep-th/9504156

Four-Dimensional Random Surfaces and One-Dimensional String Theory

Dmitri DOLGOV

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Abstract

We consider a new action of a two-dimensional field theory interacting with gravitational field. The action is interpreted as the area of a surface imbedded into four-dimensional Mincowski target space. In addition to reparametrization invariance the new action has one extra infinite-dimensional local symmetry with a clear geometrical meaning. The special gauge choice, which includes the gauge condition of tracelessness of the energy-momentum tensor, leads to an effective free scalar field theory. The problem of anomalies in quantum theory and possible connection with matrix quantum mechanics are also discussed.

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Dmitri DOLGOV. 1995-04-28. Four-Dimensional Random Surfaces and One-Dimensional String Theory. https://arxiv.org/abs/hep-th/9504156

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