Note on Noncommutative Tachyon in Matrix Models

Abstract

The solution representing a brane-anti-brane system in matrix models breaks the usual matrix spacetime symmetry. We show that the spacetime symmetry on the branes is not breaking, rather appears as a combination of the matrix spacetime transformation and a gauge transformation. As a result, the tachyon field, itself an off-diagonal entry in longitudinal matrices, transforms nontrivially under rotations, decomposing into tensors of different ranks. We also show that the tachyon field can never be gauged away, and conjecture that this field is related to the usual complex scalar tachyon by a field redefinition. We also briefly discuss tachyon condensation.

14 pages, harvmac. v3: more typos corrected, a ref. added

References in corpus (6)

• Noncommutative Solitons
• Universality of the Tachyon Potential
• Noncommutative Tachyons
• Confinement on the Brane
• D-branes and Strings as Non-commutative Solitons
• Matrix Theory in a Constant C Field Background

Cited by in corpus (9)

• Tachyon Dynamics in Open String Theory
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Supersymmetric Brane-Antibrane Configurations
• Supersymmetric D2 anti-D2 Strings
• Tachyon Condensation, Boundary State and Noncommutative Solitons
• Noncommutative Tachyon Kinks as D$(p-1)$-branes from Unstable D$p$-brane
• N D0-branes and antibranes in the background independent string field theory
• Tachyon Condensation of D2/D4-Brane System in Noncommutative Gauge Theory