### Abstract

We review the various contexts in which quantized 2-plectic manifolds are expected to appear within closed string theory and M-theory. We then discuss how the quantization of a 2-plectic manifold can be reduced to ordinary quantization of its loop space, which is a symplectic manifold. We demonstrate how the latter can be quantized using groupoids. After reviewing the necessary background, we present the groupoid quantization of the loop space of R^3 in some detail.

Original language | English |
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Title of host publication | Proceedings of the Corfu Summer Institute 2011 |

Number of pages | 19 |

Publication status | Published - 2012 |

## Cite this

Saemann, C., & J. Szabo, R. (2012). Groupoid Quantization of Loop Spaces. In

*Proceedings of the Corfu Summer Institute 2011*