All Outputs (11)

Line defect half-indices of SU(N) Chern-Simons theories (2024)
Journal Article
Okazaki, T., & Smith, D. J. (2024). Line defect half-indices of SU(N) Chern-Simons theories. Journal of High Energy Physics, 2024, Article 6. https://doi.org/10.1007/jhep06%282024%29006

We study the Wilson line defect half-indices of 3d N = 2 supersymmetric SU(N) Chern-Simons theories of level k ≤ – N with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d chiral multiplets to canc... Read More about Line defect half-indices of SU(N) Chern-Simons theories.

3d exceptional gauge theories and boundary confinement (2023)
Journal Article
Okazaki, T., & Smith, D. J. (2023). 3d exceptional gauge theories and boundary confinement. Journal of High Energy Physics, 2023(11), Article 199. https://doi.org/10.1007/jhep11%282023%29199

We find boundary confining dualities of 3d N = 2 supersymmetric gauge theories with exceptional gauge groups. The half-indices which enumerate the boundary BPS local operators in the presence of Neumann and Dirichlet boundary conditions for gauge fie... Read More about 3d exceptional gauge theories and boundary confinement.

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.

Fermi-gas correlators of ADHM theory and triality symmetry (2022)
Journal Article
Hatsuda, Y., & Okazaki, T. (2022). Fermi-gas correlators of ADHM theory and triality symmetry. SciPost Physics, 12(1), https://doi.org/10.21468/scipostphys.12.1.005

We analytically study the Fermi-gas formulation of sphere correlation functions of the Coulomb branch operators for 3d N = 4 ADHM theory with a gauge group U(N), an adjoint hypermultiplet and l hypermultiplets which can describe a stack of N M2-brane... Read More about Fermi-gas correlators of ADHM theory and triality symmetry.

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.

Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions (2021)
Journal Article
Okazaki, T. (2021). Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions. Journal of High Energy Physics, 2021(3), Article 163. https://doi.org/10.1007/jhep03%282021%29163

We evaluate half-indices of N = (2, 2) half-BPS boundary conditions in 3d N = 4 supersymmetric Abelian gauge theories. We confirm that the Neumann boundary condition is dual to the generic Dirichlet boundary condition for its mirror theory as the hal... Read More about Abelian mirror symmetry of $$ \mathcal{N} $$ = (2, 2) boundary conditions.

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.

Sphere correlation functions and Verma modules (2020)
Journal Article
Gaiotto, D., & Okazaki, T. (2020). Sphere correlation functions and Verma modules. Journal of High Energy Physics, 2020(2), Article 133. https://doi.org/10.1007/jhep02%282020%29133

We propose a universal IR formula for the protected three-sphere correlation functions of Higgs and Coulomb branch operators of N = 4 supersymmetric quantum field theories with massive, topologically trivial vacua.

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.