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N=3 four dimensional field theories

García-Etxebarria, Iñaki and Regalado, Diego (2016) 'N=3 four dimensional field theories.', Journal of High Energy Physics, 2016 (03). 083.


We introduce a class of four dimensional field theories constructed by quotienting ordinary N=4 U(N ) SYM by particular combinations of R-symmetry and SL(2, ℤ) automorphisms. These theories appear naturally on the worldvolume of D3 branes probing terminal singularities in F-theory, where they can be thought of as non-perturbative generalizations of the O3 plane. We focus on cases preserving only 12 supercharges, where the quotient gives rise to theories with coupling fixed at a value of order one. These constructions possess an unconventional large N limit described by a non-trivial F-theory fibration with base AdS 5 × (S 5/ℤ k ). Upon reduction on a circle the N=3 theories flow to well-known N=6 ABJM theories.

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Publisher statement:This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:29 February 2016
Date deposited:13 October 2021
Date of first online publication:14 March 2016
Date first made open access:13 October 2021

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