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arXiv · hep-th/9902179

Five-branes, Seven-branes and Five-dimensional E_n field theories

Oliver DeWolfe·Amihay Hanany·Amer Iqbal·Emanuel Katz
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Abstract

We generalize the (p,q) 5-brane web construction of five-dimensional field theories by introducing (p,q) 7-branes, and apply this construction to theories with a one-dimensional Coulomb branch. The 7-branes render the exceptional global symmetry of these theories manifest. Additionally, 7-branes allow the construction of all E_n theories up to n=8, previously not possible in 5-brane configurations. The exceptional global symmetry in the field theory is a subalgebra of an affine symmetry on the 7-branes, which is necessary for the existence of the system. We explicitly determine the quantum numbers of the BPS states of all E_n theories using two simple geometrical constraints.

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Oliver DeWolfe, Amihay Hanany, Amer Iqbal, Emanuel Katz. 1999-02-24. Five-branes, Seven-branes and Five-dimensional E_n field theories. https://doi.org/10.1088/1126-6708%2F1999%2F03%2F006

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