Spacetime Superalgebra in AdS_4 \times S^7 via Supermembrane Probe

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, Latex, minor corrections, final version to appear in Phys. Rev.D

Scientific paper

10.1103/PhysRevD.60.047901

The spacetime superalgebra via the supermembrane probe in the background of AdS_4 \times S^7 is discussed to the lowest order in the spinor coordinate $\t$. To obtain the correct spacetime superalgebras, all $\t^2$ order corrections for supervielbein and super 3-form gauge potential have to be included. The central extension of the superalgebra OSp(8|4) of the super isometries for AdS_4 \times S^7 is found.

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