General covariance of the non-abelian DBI-action: checks and balances |
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Authors: | Jan de Boer Jeroen Wijnhout |
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Institution: | a Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018XE Amsterdam, The Netherlands b Department of Physics, Columbia University, New York, NY 10027, USA |
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Abstract: | We perform three tests on our proposal to implement diffeomorphism invariance in the non-abelian D0-brane DBI action as a base-point 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 base-point independence using an auxiliary dN2-dimensional nonlinear 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 4, we elucidate the range of validity of the symmetrized trace approximation to the non-abelian DBI action. |
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Keywords: | 02 40 &minus k 04 50 th 11 25 &minus w |
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