General covariance of the non-abelian DBI-action: Checks and Balances

Details General covariance of the non-abelian DBI-action: Checks and Balances General covariance of the non-abelian DBI-action: Checks and Balances

2003-10-15

arxiv.org/abs/hep-th/0310150v1

Annals Phys. 313 (2004) 425-445

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 22 pages

Scientific paper

10.1016/j.aop.2004.04.011

We perform three tests on our proposal to implement diffeomorphism invariance in the non-abelian D0-brane DBI action as a basepoint independence constraint between matrix Riemann normal coordinate systems. First we show that T-duality along an isometry correctly interchanges the potential and kinetic terms in the action. Second, we show that the method to impose basepoint independence using an auxiliary dN^2-dimensional non-linear sigma model also works for metrics which are curved along the brane, provided a physical gauge choice is made at the end. Third, we show that without alteration this method is applicable to higher order in velocities. Testing specifically to order four, we elucidate the range of validity of the symmetrized trace approximation to the non-abelian DBI action.

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