Abstract
We show that the free bosonic string theory can be reformulated using the special Jordan algebra. We then proceed to incorporate the exceptional Jordan algebra into the bosonic string. This leads to an exceptional group structure at the level of first quantization, which we interpret as the appearance of the gauge group. The exceptional group which appears in our formalism is the group ${\mathrm{F}}_{4}$; however, other groups may be possible (including the possibility of ${\mathrm{E}}_{8}$) by generalizing our formalism.
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