1/2-BPS membrane instantons in AdS${}_4\times$S${}^7/{\mathbf{Z}}_k$

Abstract

According to the covariant open superstring description of D-branes in the AdS${}_4\times {\mathbf{CP}}^3$ background, 1/2-BPS D2-branes are purely instantonic. Based on this and by taking the eleven dimensional viewpoint, we identify the 1/2-BPS instantonic M2-brane configurations in the AdS${}_4\times$ S${}^7/{\mathbf{Z}}_k$ background, which reduces to the AdS${}_4\times {\mathbf{CP}}^3$ under the large $k$ limit, and evaluate their action values. We also consider the previously known 1/2-BPS instantonic objects in ten dimensions from the M2-brane viewpoint to compare with our results.

11 pages. v2: 12 pages, comments and one reference added, version to be published

References in corpus (5)

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