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

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

1997-12-05

arxiv.org/abs/hep-th/9712057v1

Fortsch.Phys. 47 (1999) 151-157

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure, LATEX

Scientific paper

A survey is given of the formulation of a $\sigma$-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 $\beta$-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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