ZhETF, Vol. 139,
p. 910 (May 2011)
(English translation - JETP,
Vol. 112, No. 5,
available online at www.springer.com
(p+1)-ALGEBRA FOR A SUPER p-BRANE: THE NAMBU BRACKET REFORMULATION
Received: October 14, 2010
We express the covariant actions of a super p-brane and the corresponding equations of motion, in flat and curved superspaces, in terms of the Nambu (p+1)-brackets. These brackets make the (p+1)-algebra structure of a super p-brane manifest. For the flat superspace, this reconstruction of the action also allows reformulating it in terms of two sets of differential forms.