M2-branes on a resolved $C_4/Z_4$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pp; v2: references added; v3: minor change after eq(11)

Scientific paper

10.1088/1126-6708/2008/09/071

We write down M2-branes on the resolved $C_4/Z_4$ orbifold space. The resolved spatial geometry is such that it interpolates between $R^2\times CP_3$ near the branes and $C_4/Z_4$ asymptotically. The near horizon geometry of these branes is a deformation of $AdS_4\times S^7/Z_4$. An interesting aspect is that for $k=4$ Chern-Simons theory coupling becomes vanishing near the IR cutoff leading to spontaneous compactification to type IIA.

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