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arXiv · 0805.3236

Classification of the BPS states in Bagger-Lambert Theory

Imtak Jeon·Jongwook Kim·Nakwoo Kim·Sang-Woo Kim·Jeong-Hyuck Park
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Abstract

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 SO(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.

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Imtak Jeon, Jongwook Kim, Nakwoo Kim, Sang-Woo Kim, Jeong-Hyuck Park. 2008-06-25. Classification of the BPS states in Bagger-Lambert Theory. https://doi.org/10.1088/1126-6708%2F2008%2F07%2F056

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