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@ARTICLE{Bertle:641237,
      author       = {Bertle, Hanno and Pomoni, Elli and Zhang, Xinyu and Zoubos,
                      Konstantinos},
      title        = {{H}idden symmetries of 4{D} $ \mathcal{{N}} $ = 2 gauge
                      theories},
      journal      = {Journal of high energy physics},
      volume       = {02},
      number       = {2},
      issn         = {1126-6708},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2025-04968, arXiv:2411.11612. DESY-24-172},
      pages        = {205},
      year         = {2025},
      note         = {42 pages + appendices, 7 figures},
      abstract     = {We study the global symmetries of the ℤ$_{2}$-orbifold of
                      $ \mathcal{N} $ = 4 Super-Yang-Mills theory and its marginal
                      deformations. The process of orbifolding to obtain an $
                      \mathcal{N} $ = 2 theory would appear to break the SU(4)
                      R-symmetry down to SU(2) × SU(2) × U(1). We show that the
                      broken generators can be recovered by moving beyond the Lie
                      algebraic setting to that of a Lie algebroid. This remains
                      true when marginally deforming away from the orbifold point
                      by allowing the couplings of the SU(N) × SU(N) gauge groups
                      to vary independently. The information about the marginal
                      deformation is captured by a Drinfeld-type twist of this
                      SU(4) Lie algebroid. The twist is read off from the F- and
                      D- terms, and thus directly from the Lagrangian. Even though
                      at the orbifold point the algebraic structure is
                      associative, it becomes non-associative after the marginal
                      deformation. We explicitly check that the planar Lagrangian
                      of the theory is invariant under this twisted version of the
                      SU(4) algebroid and we discuss implications of this hidden
                      symmetry for the spectrum of the $ \mathcal{N} $ = 2
                      theory.},
      keywords     = {Global Symmetries (autogen) / Quantum Groups (autogen) /
                      Supersymmetric Gauge Theory (autogen)},
      cin          = {T},
      ddc          = {530},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) /
                      BrokenSymmetries - Exact Results from Broken Symmetries
                      (101044226) / DFG project G:(GEPRIS)390833306 - EXC 2121:
                      Quantum Universe (390833306) / DFG project
                      G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen,
                      Modulräume und Integrabilität (506632645)},
      pid          = {G:(DE-HGF)POF4-611 / G:(EU-Grant)101044226 /
                      G:(GEPRIS)390833306 / G:(GEPRIS)506632645},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2411.11612},
      howpublished = {arXiv:2411.11612},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2411.11612;\%\%$},
      doi          = {10.1007/JHEP02(2025)205},
      url          = {https://bib-pubdb1.desy.de/record/641237},
}