Commutative Geometry for Non-commutative D-branes by Tachyon Condensation

Understand

There is a difficulty in defining the positions of the D-branes when the scalar fields on them are non-abelian.

• We show that we can use tachyon condensation to determine the position or the shape of D0-branes uniquely as a commutative region in spacetime together with non-trivial gauge flux on it, even if the scalar fields are non-abelian.
• We use the idea of the so-called coherent state method developed in the field of matrix models in the context of the tachyon condensation.
• We investigate configurations of noncommutative D2-brane made out of D0-branes as examples.