On Tachyon Condensation of Intersecting Noncommutative Branes in M(atrix) Theory

TL;DR

This paper studies the instability and recombination of intersecting noncommutative D-branes in M(atrix) theory through tachyon condensation, revealing new configurations distinct from commutative cases.

Contribution

It provides a detailed analysis of tachyon modes and their role in brane recombination in noncommutative settings within M(atrix) theory.

Findings

Identified tachyon modes indicating instability of intersecting branes.

Demonstrated how tachyon condensation leads to new recombined brane configurations.

Found that noncommutative brane recombination differs from commutative cases.

Abstract

The interaction between the intersecting noncommutative D-branes (or membranes) is investigated within the M(atrix) theory. We first evaluate the spectrum of the off-diagonal fluctuation and see that there is a tachyon mode, which signals the instability of the intersecting branes. We next explain in detail how the tachyon modes (which are the off-diagonal fluctuations) can be combined with the original branes (which are the diagonal elements) to become a new diagonal matrix, which then represents the new recombined configurations after the tachyon condensation. The tachyon condensation configurations of the noncommutative branes we find are different from those of the commutative cases studied in the previous literatures.