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Boundary confining dualities and Askey-Wilson type q -beta integrals (2023)
Journal Article
Okazaki, T., & Smith, D. J. (2023). Boundary confining dualities and Askey-Wilson type q -beta integrals. Journal of High Energy Physics, 2023(8), Article 048. https://doi.org/10.1007/jhep08%282023%29048

We propose confining dualities of N
= (0, 2) half-BPS boundary conditions in 3d N
= 2 supersymmetric SU(N), USp(2n) and SO(N) gauge theories. Some of these dualities have the novel feature that one (anti)fundamental chiral has Dirichlet boundary... Read More about Boundary confining dualities and Askey-Wilson type q -beta integrals.

Seiberg-like dualities for orthogonal and symplectic 3d $$ \mathcal{N} $$ = 2 gauge theories with boundaries (2021)
Journal Article
Okazaki, T., & Smith, D. J. (2021). Seiberg-like dualities for orthogonal and symplectic 3d $$ \mathcal{N} $$ = 2 gauge theories with boundaries. Journal of High Energy Physics, 2021(7), Article 231. https://doi.org/10.1007/jhep07%282021%29231

We propose dualities of N = (0, 2) supersymmetric boundary conditions for 3d N = 2 gauge theories with orthogonal and symplectic gauge groups. We show that the boundary ’t Hooft anomalies and half-indices perfectly match for each pair of the proposed... Read More about Seiberg-like dualities for orthogonal and symplectic 3d $$ \mathcal{N} $$ = 2 gauge theories with boundaries.

Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories (2021)
Journal Article
Okazaki, T., & Smith, D. J. (2021). Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories. Journal of High Energy Physics, 2021(3), Article 43. https://doi.org/10.1007/jhep03%282021%29043

We derive general BPS boundary conditions in two-dimensional N = (2, 2) supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also pr... Read More about Singular BPS boundary conditions in $$ \mathcal{N} $$ = (2, 2) supersymmetric gauge theories.

Matrix supergroup Chern-Simons models for vortex-antivortex systems (2018)
Journal Article
Okazaki, T., & Smith, D. J. (2018). Matrix supergroup Chern-Simons models for vortex-antivortex systems. Journal of High Energy Physics, 2018(2), Article 118. https://doi.org/10.1007/jhep02%282018%29119

We study a U(N |M ) supermatrix Chern-Simons model with an SU(p|q) internal symmetry. We propose that the model describes a system consisting of N vortices and M antivortices involving SU(p|q) internal spin degrees of freedom. We present both classic... Read More about Matrix supergroup Chern-Simons models for vortex-antivortex systems.

Mock modular index of M2-M5 brane systems (2017)
Journal Article
Okazaki, T., & Smith, D. J. (2017). Mock modular index of M2-M5 brane systems. Physical Review D, 96(2), Article 026017. https://doi.org/10.1103/physrevd.96.026017

We present Bogomolny-Prasad-Sommerfield (BPS) indices of the supergroup Wess-Zumino-Witten (WZW) models that live on intersecting M2-M5-brane systems. They can encode data of the stretched M2-branes between M5-branes and count the BPS states. They ar... Read More about Mock modular index of M2-M5 brane systems.

Topological M-strings and supergroup Wess-Zumino-Witten models (2016)
Journal Article
Okazaki, T., & Smith, D. J. (2016). Topological M-strings and supergroup Wess-Zumino-Witten models. Physical Review D, 94(6), Article 065016. https://doi.org/10.1103/physrevd.94.065016

We study the boundary conditions in topologically twisted Chern-Simons matter theories with the Lie 3-algebraic structure. We find that the supersymmetric boundary conditions and the gauge-invariant boundary conditions can be unified as complexified... Read More about Topological M-strings and supergroup Wess-Zumino-Witten models.