M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6

Details M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6 M2-KK6 System in ABJM Theory : Fuzzy $S^3$ and Wrapped KK6

2011-07-11

arxiv.org/abs/1107.2030v2

Physics

High Energy Physics

High Energy Physics - Theory

Latex 17 pages

Scientific paper

We study the properties of M2-KK6 (2D membranes - 6D Kaluza-Klein monopole) solution in ABJM membrane theory. First, we find a new kind of BPS solution which has six coordinates, contrasts to our previous solutions which have four coordinates. Next, we argue that, after wrapping 2 sphere the new solution may correspond to the previous solution of four coordinates. We analyze the properties therein and conclude that M2-branes described in ABJM theory could expand into fuzzy three sphere plus a wrapped 2 sphere near the KK6 core. Especially, we show in detail how the fuzzy 3-sphere could arise in these solutions and discuss the property of wrapped KK6 and its relation to M5-brane. We also analyze the fluctuation of the M2-KK6 solution and see that it is U(1) field theory.

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