Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-06-16
Phys.Lett. B412 (1997) 281-287; Nucl.Phys.Proc.Suppl. 68 (1998) 295-302
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, Latex; enhanced discussion on supersymmetry, some references added
Scientific paper
10.1016/S0920-5632(98)00163-7
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 $TrF \wedge F$ is neither self-dual nor anti-self-dual.
Duff M. J.
Evans Jonathan M.
Khuri Ramzi R.
Lu Jian-Xin
Minasian Ruben
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