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Pittelli, Antonio
Publications (2 of 2) Show all publications
Pittelli, A. & Preti, M. (2019). Integrable fishnet from gamma-deformed N=2 quivers. Physics Letters B, 798, Article ID 134971.
Open this publication in new window or tab >>Integrable fishnet from gamma-deformed N=2 quivers
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.

National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-397952 (URN)10.1016/j.physletb.2019.134971 (DOI)000494939000074 ()
Funder
EU, European Research Council, 639220
Available from: 2020-01-02 Created: 2020-01-02 Last updated: 2020-01-02Bibliographically approved
Pittelli, A. (2018). Yangian symmetry of string theory on AdS(3) x S-3 x S-3 x S-1 with mixed 3-form flux. Nuclear Physics B, 935, 271-289
Open this publication in new window or tab >>Yangian symmetry of string theory on AdS(3) x S-3 x S-3 x S-1 with mixed 3-form flux
2018 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 935, p. 271-289Article in journal (Refereed) Published
Abstract [en]

We find the Yangian symmetry underlying the integrability of type IIB superstrings on AdS(3) x S-3 x S-3 x S-1 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The abstract commutation relations of the Yangian are formulated via RTT realisation, while its matrix realisation is in an evaluation representation depending on the quantised coefficient of the Wess-Zumino term. The construction naturally encodes a secret symmetry of the worldsheet scattering matrix whose generators map different Yangian levels to each other. We show that in the large effective string tension limit the Yangian becomes a deformation of a unitary loop algebra and we derive its universal classical r-matrix.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV, 2018
National Category
Subatomic Physics
Identifiers
urn:nbn:se:uu:diva-368096 (URN)10.1016/j.nuclphysb.2018.08.013 (DOI)000446070200013 ()
Funder
EU, European Research Council, 639220
Available from: 2018-12-03 Created: 2018-12-03 Last updated: 2018-12-03Bibliographically approved
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