M-Branes and Their Interactions in Static Matrix Model

TL;DR

This paper introduces classical solutions for various BPS M-brane configurations within a Static Matrix Model and computes their long-range interactions, aligning with supergravity predictions.

Contribution

It presents new classical solutions for BPS M-branes in a Static Matrix Model and calculates their interactions, confirming consistency with supergravity.

Findings

Interaction results agree with 11D supergravity

Classical solutions for multiple M-brane configurations provided

Long-range interactions for rotated and anti-branes analyzed

Abstract

Different BPS M-brane configurations including single and two parallel M$p$-branes ($p$= even) and M5-branes are introduced as the classical solutions of the recently proposed Static Matrix Model. Also the long range interactions of two relatively rotated M$p$-branes (one and two angles) and M$p$-brane--anti-M$p$-brane are calculated. The results are in agreement with 11 dimensional supergravity results.