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arXiv · 1007.3354

Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k

Makoto Sakaguchi·Hyeonjoon Shin·Kentaroh Yoshida
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Abstract

We start from the classical action describing a single M2-brane on AdS_4 x S^7/ Z_k and consider semiclassical fluctuaitions around a static, 1/2 BPS configuration whose shape is AdS_2 x S^1. The internal manifold S^7/ Z_k is described as a U(1) fibration over CP^3 and the static configuration is wrapped on the U(1) fiber. Then the configuration is reduced to an AdS_2 world-sheet of type IIA string on AdS_4 x CP^3 through the Kaluza-Klein reduction on the S^1. It is shown that the fluctuations form an infinite set of N=1 supermultiplets on AdS_2, for k=1,2. The set is invariant under SO(8) which may be consistent with N=8 supersymmetry on AdS_2. We discuss the behavior of the fluctuations around the boundary of AdS_2 and its relation to deformations of Wilson loop operator.

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Makoto Sakaguchi, Hyeonjoon Shin, Kentaroh Yoshida. 2010-11-11. Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k. https://doi.org/10.1007/jhep12(2010)012

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