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On the gauge invariance and coordinate transformations of non-Abelian D-brane actions

Joke Adam·Ignacio A. Illan·Bert Janssen
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Abstract

We study the variations of the worldvolume fields in the non-Abelian action for multiple D-branes. Using T-duality we find that the embedding scalars transform non-trivially under NS-NS gauge transformations as δX ~ [X, X] and prove that the non-Abelian Chern-Simons action is invariant under these transformations. Given that T-duality relates the (part of the) NS-NS transformation with (part of the) general coordinate transformations, we can get some insight in the structure of non-Abelian coordinate transformations.

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Joke Adam, Ignacio A. Illan, Bert Janssen. 2005-07-20. On the gauge invariance and coordinate transformations of non-Abelian D-brane actions. https://doi.org/10.1088/1126-6708%2F2005%2F10%2F022

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