New discovery of confinement of 3d gauge theories with boundary




Tadashi Okazaki, an associate professor of the Yau Center SEU, has recently discovered boundary confining dualities of three-dimensional supersymmetric gauge theories which obey the supersymmetric boundary conditions in the collaborative works 10.1007/JHEP08(2023)048, 10.1007/JHEP11(2023)199 with Prof. Douglas Smith (Durham University). 

While some of the dualities can be extended to three-dimensional bulk dualities, others are understood intrinsically as two-dimensional dualities. Unlike the case without boundary, the supersymmetric indices can be well-defined even for theories which contain monopole operators with non-positive scaling dimensions. He has found that the boundary confining dualities lead to various new identities of matrix integrals or those of infinite series, as Askey-Wilson q-beta integrals or Macdonald type sums associated with the gauge algebra.


Citation: Tadashi Okazaki& Douglas J. Smith, Boundary confining dualities and Askey-Wilson type q-beta integrals, J. High Energ. Phys. 08 (2023) 048.



Citation: Tadashi Okazaki* and Douglas J. Smith, 3d exceptional gauge theories and boundary confinement, J. High Energ. Phys. 11 (2023) 199.