New integrable 4D quantum field theories from strongly deformed planar Supersymmetric Yang-Mills Theory

Gürdoğan, Ömer and Kazakov, Vladimir (2016) New integrable 4D quantum field theories from strongly deformed planar Supersymmetric Yang-Mills Theory. Phys.Rev.Lett., 117. (doi:10.1103/PhysRevLett.117.201602).

Record type: Article

Abstract

We introduce a family of new integrable quantum field theories in four dimensions by considering the -deformed supersymmetric Yang-Mills (SYM) theory in the double scaling limit of large imaginary twists and small coupling. This limit discards the gauge fields and retains only certain Yukawa and scalar interactions with three arbitrary effective couplings. In the ‘t Hooft limit, these 4D theories are integrable, and contain a wealth of conformal correlators such that the whole arsenal of integrability remains applicable. As a special case of these models, we obtain a quantum field theory of two complex scalars with a chiral, quartic interaction. The Berenstein-Maldacena-Nastase vacuum anomalous dimension is dominated in each loop order by a single “wheel” graph, whose bulk represents an integrable “fishnet” graph. This explicitly demonstrates the all-loop integrability of gamma-deformed planar

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