Intersecting Branes in Matrix Theory
M. de Roo, S. Panda, J.P. van der Schaar

TL;DR
This paper constructs and analyzes BPS states in matrix theory, demonstrating how intersecting brane configurations preserve various fractions of supersymmetry and correspond to the eleven-dimensional supersymmetry algebra.
Contribution
It provides explicit constructions of BPS states for intersecting branes in matrix theory, detailing the supersymmetry fractions and charge relations.
Findings
BPS states preserve 1/2, 1/4, 1/8, 3/16, and 1/16 of supersymmetry.
Matrix BPS states correspond to intersecting brane configurations from the 11D algebra.
Explicit charge relations for 1/2 supersymmetric branes are established.
Abstract
We construct BPS states in the matrix description of M-theory. Starting from a set of basic M-theory branes, we study pair intersections which preserve supersymmetry. The fractions of the maximal supersymmetry obtained in this way are 1/2, 1/4, 1/8, 3/16 and 1/16. In explicit examples we establish that the matrix BPS states correspond to (intersecting) brane configurations that are obtained from the d=11 supersymmetry algebra. This correspondence for the 1/2 supersymmetric branes includes the precise relations between the charges.
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