We investigate, in a certain decoupling limit, the effect of having a constant C-field on the M-theory five-brane using an open membrane probe. We define an open membrane metric for the five-brane that remains non-degenerate in the limit. The canonical quantisation of the open membrane boundary leads to a noncommutative loop space which is a functional analogue of the noncommutative geometry that occurs for D-branes.
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.
2001). The 18(16). https://doi.
AbstractThe M-theory origin of non-commutative open-string theory is examined by investigating the M-theory 5-brane at near critical field strength. In particular, it is argued that the open-membrane metric provides the appropriate moduli when calculating the duality relations between M and II non-commutative theories.
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