A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories

Marco Matone

doi:10.1007/jhep06(2015)109

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arXiv · 1504.00349

A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories

Marco Matone

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Abstract

We show that the effective coupling constants $\tau$ of supersymmetric gauge theories described by hyperelliptic curves do not distinguish between the lattices of the two kinds of heterotic string. In particular, the following relation $$ \Theta_{D_{16}^+}(\tau)=\Theta_{E_8}^2(\tau) $$ holds. This is reminiscent of the relation, by $T$-duality, of the two heterotic strings. We suggest that such a relation extends to all curves describing effective supersymmetric gauge theories.

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Marco Matone. 2015-04-01. A Surprising Relation for the Effective Coupling Constants of N=2 Super Yang-Mills Theories. https://doi.org/10.1007/jhep06(2015)109

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