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It seems the keyword OP is searching for is AdS/CFT correspondence. The holographic principle in string theory is realized between a gravity theory in an $n$ dimensional AdS bulk manifold $M$ and a gauge CFT on an $n\!-\!1$ dimensional boundary $\partial M$. In the most famous example, the 10 dimensional target space of superstring theory is a product of a ...

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The AdS/CFT correspondence (or this particular, most famous example of it) is the equivalence between the non-gravitational ${\mathcal N}=4$ supersymmetric Yang-Mills theory on one side ("the boundary CFT"); and the type IIB superstring theory in $AdS_5\times S^5$ ("the bulk theory") on the other side. The equivalence is exact and the gauge theory is ...

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With an answer selected (and bounty awarded) it is time to open a community wiki for explicit references on work along the line of getting QCD + EM, or alternatively QCD alone or QCD + "4th colour" extracting the group from the extra dimensions. An early 1975 work of founding fathers of string theory claims to have a O(6) and then a SU(4) group from the ...

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While it is certainly possible to get an $SU(3) \times U(1)$ gauge group from the metric alone, if one started with a 9d theory, there are several issues with using Graviphotons as gauge bosons in a 4d theory. Most prominently, in addition to vector bosons you will always create scalars in the adjoint from internal components of the metric, which we do not ...

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