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The spacetime superalgebra via the supermembrane probe in the background ofAdS_4 \times S^7 is discussed to the lowest order in the spinor coordinate$\t$. To obtain the correct spacetime superalgebras, all $\t^2$ ordercorrections for supervielbein and super 3-form gauge potential have to beincluded. The central extension of the superalgebra OSp(8|4) of the superisometries for AdS_4 \times S^7 is found.Comment: 8 pages, Latex, minor corrections, final version to appear in Phys.  Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Spacetime superalgebra in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>via the supermembrane probe

Spacetime superalgebra inAdS4×S7via the supermembrane probe