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Departamento de Matemática Técnico Técnico

Seminário Encontro Ressurgimento  RSS

19/07/2016, 11:30 — 12:30 — Anfiteatro Ea1, Torre Norte (Electricidade)
Alexander Gorsky, Moscow Institute of Physics and Technology

Instanton-Torus Knot Duality in SQCD

We present the duality between the instantons in 5d QED and SQCD and torus knots. It is snown that the fermion condensate serves as the generating function for the torus knot polynomials. The integer numbers $(n,m)$ characterizing the torus knot are identified as the instanton and electric charge. This implies the interesting interplay between the perturbative and nonperturbative contributions in terms of knots. A somewhat related phenomena of eigenvalue tunneling in the random topological networks is also mentioned.

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