Spin-Spin Interaction In Matrix Theory
M. Barrio, R. Helling, G. Polhemus
TL;DR
This paper computes the spin-dependent static force between D0-branes in Matrix theory, confirming its structure aligns with supergravity predictions and revealing a new theta^8/r^11 term related to spin effects.
Contribution
It introduces the calculation of the spin-dependent static potential in Matrix theory and links it to supergravity, extending understanding of spin interactions in D-brane systems.
Findings
Calculated the spin-dependent static potential between D0-branes.
Confirmed the potential's structure matches supergravity predictions.
Identified the lowest order contribution as a theta^8/r^11 term.
Abstract
We calculate the spin dependent static force between two D0-branes in Matrix theory. Supersymmetry relates velocity dependent potentials to spin dependent potentials. The well known v^4/r^7 term is related to a theta^8/r^11 term, where theta is the relative spin of the D0-branes. We calculate this term, confirming that it is the lowest order contribution to the static potential, and find its structure consistent with supergravity.
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