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The octonionic membrane
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DOI：10.1016/S0370-2693(97)01071-X.png)
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摘要
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We generalize the supermembrane solution of D = 11 supergravity by permitting the 4-form G to be either self-dual or anti-self-dual in the eight dimensions transverse to the membrane. After analyzing the supergravity field equations directly, and also discussing necessary conditions for unbroken supersymmetry, we focus on two specific, related solutions. The self-dual solution is not asymptotically flat. The anti-self-dual solution is asymptotically flat, has finite mass per unit area and saturates the same mass = charge Bogomolnyi bound as the usual supermembrane. Nevertheless, neither solution preserves any supersymmetry. Both solutions involve the octonionic structure constants but, perhaps surprisingly, they are unrelated to the octonionic instanton 2-form F, for which TrF boolean AND F is neither self-dual nor anti-self-dual. (C) 1997 Published by Elsevier Science B.V.
Keyword:
11-DIMENSIONAL SUPERGRAVITY
8 DIMENSIONS
SUPERSTRINGS
SOLITONS
SUPERMEMBRANES
STRINGS
EQUATIONS
INSTANTON
DUALITY
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期刊
IF:
4.5
论文数:
3.2W
被引数:
7.3W
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