TY  - JOUR
AU  - Bertle, Hanno
AU  - Pomoni, Elli
AU  - Zhang, Xinyu
AU  - Zoubos, Konstantinos
TI  - Hidden symmetries of 4D  <i>N</i>  = 2 gauge theories
JO  - Journal of high energy physics
VL  - 02
IS  - 2
SN  - 1126-6708
CY  - Heidelberg
PB  - Springer
M1  - PUBDB-2025-04968
M1  - arXiv:2411.11612
M1  - DESY-24-172
SP  - 205
PY  - 2025
N1  - 42 pages + appendices, 7 figures
AB  - We study the global symmetries of the ℤ<sub>2</sub>-orbifold of  <i>N</i>  = 4 Super-Yang-Mills theory and its marginal deformations. The process of orbifolding to obtain an  <i>N</i>  = 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  <i>N</i>  = 2 theory.
KW  - Global Symmetries (autogen)
KW  - Quantum Groups (autogen)
KW  - Supersymmetric Gauge Theory (autogen)
LB  - PUB:(DE-HGF)16
DO  - DOI:10.1007/JHEP02(2025)205
UR  - https://bib-pubdb1.desy.de/record/641237
ER  -