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Integrable fishnet from gamma-deformed N=2 quivers
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
KTH Royal Inst Technol, NORDITA, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden;Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden.
2019 (English)In: Physics Letters B, ISSN 0370-2693, E-ISSN 1873-2445, Vol. 798, article id 134971Article in journal (Refereed) Published
Abstract [en]

We introduce bi-fermion fishnet theories, a class of models describing integrable sectors of four-dimensional gauge theories with non-maximal supersymmetry. Bi-fermion theories are characterized by a single complex scalar field and two Weyl fermions interacting only via chiral Yukawa couplings. The latter generate oriented Feynman diagrams forming hexagonal lattices, whose fishnet structure signals an underlying integrability that we exploit to compute anomalous dimensions of BMN-vacuum operators. Furthermore, we investigate Lunin-Maldacena deformations of N = 2 superconformal field theories with deformation parameter gamma and prove that bi-fermion models emerge in the limit of large imaginary gamma and vanishing 't Hooft coupling g, with ge(-i/2 gamma) fixed. Finally, we explicitly find non-trivial conformal fixed points and compute the scaling dimensions of operators for any gamma and in presence of double-trace deformations.

Place, publisher, year, edition, pages
2019. Vol. 798, article id 134971
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-397952DOI: 10.1016/j.physletb.2019.134971ISI: 000494939000074OAI: oai:DiVA.org:uu-397952DiVA, id: diva2:1382272
Funder
EU, European Research Council, 639220Available from: 2020-01-02 Created: 2020-01-02 Last updated: 2020-01-02Bibliographically approved

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Pittelli, Antonio

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