The M5-brane and non-commutative loop space

Physics

Scientific paper

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Scientific paper

We investigate, in a certain decoupling limit, the effect of having a constant C-field on the M-theory 5-brane using an open-membrane probe. We define an open-membrane metric for the 5-brane that remains non-degenerate in the limit. The canonical quantization of the open-membrane boundary leads to a non-commutative loop space which is a functional analogue of the non-commutative geometry that occurs for D-branes.

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