Classification of the BPS states in Bagger-Lambert theory

Imtak Jeon, Jongwook Kim, Nakwoo Kim, Sang-Woo Kim, Jeong-Hyuck Park
2008 Journal of High Energy Physics  
We classify, in a group theoretical manner, the BPS configurations in the multiple M2-brane theory recently proposed by Bagger and Lambert. We present three types of BPS equations preserving various fractions of supersymmetries: in the first type we have constant fields and the interactions are purely algebraic in nature; in the second type the equations are invariant under spatial rotation SO(2), and the fields can be time-dependent; in the third class the equations are invariant under boost
more » ... (1,1) and provide the eleven-dimensional generalizations of the Nahm equations. The BPS equations for different number of supersymmetries exhibit the division algebra structures: octonion, quarternion or complex.
doi:10.1088/1126-6708/2008/07/056 fatcat:zkg35aqzw5evbcswvgcmbg2wmy