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arXiv · hep-th/9712057

Non-Abelian gauge field dynamics on matrix D-branes in curved space and two-dimensional $σ$-models

H. Dorn
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Abstract

A survey is given of the formulation of a $σ$-model describing an open string moving in general target space background fields and coupling to both a matrix-valued D-brane position and a matrix-valued gauge field on the D-brane. The equations of motion for the D-brane and the gauge field are derived from the conformal invariance condition on the string world sheet in lowest order of $\ap$. The ordering problem of the involved matrices is solved. In addition to our previous work we discuss a conflict between the classical T-duality rules and renormalization. The calculation of the RG $β$-functions does not yield the mass term obtained by formal application of these rules in the case of target space separated D-brane copies.

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H. Dorn. 1997-12-05. Non-Abelian gauge field dynamics on matrix D-branes in curved space and two-dimensional $σ$-models. https://doi.org/10.1002/(sici)1521-3978(199901)47%3A1%2F3%3C151%3A%3Aaid-prop151%3E3.0.co%3B2-3

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