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Abstract: We investigate certain arithmetic properties of field theories. Inparticular, we study the vacuum structure of supersymmetric gauge theories asalgebraic varieties over number fields of finite characteristic. Parallel tothe Plethystic Programme of counting the spectrum of operators from thesyzygies of the complex geometry, we construct, based on the zeros of thevacuum moduli space over finite fields, the local and global Hasse-Weil zetafunctions, as well as develop the associated Dirichlet expansions. We findcurious dualities wherein the geometrical properties and asymptotic behaviourof one gauge theory is governed by the number theoretic nature of another.



Autor: Yang-Hui He

Fuente: https://arxiv.org/







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