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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.

Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons (2022)
Journal Article
Smith, D. J., Robson, C. J., & Farrow, J. A. (2022). Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons. Physical Review D, 106(4), Article 045001. https://doi.org/10.1103/physrevd.106.045001

We examine the dynamics of noncommutative instantons of instanton number 2 and commutative instantons of instanton number 3 in 5D super Yang-Mills theory. We begin by detailing the construction of the 1=4-Bogamolyni-Prasad-Somerfeldt instanton soluti... Read More about Notes on the dynamics of noncommutative U(2) and commutative SU(3) instantons.

Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory (2022)
Journal Article
Hunter, C., & Smith, D. J. (2022). Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory. International Journal of Modern Physics A, 37(9), Article 2250045. https://doi.org/10.1142/s0217751x22500452

It has been previously shown that a Gauss–Bonnet term nonminimally coupled to a scalar field produces a scalarised black hole solution which can be considered as having secondary scalar hair, parametrised in terms of the black hole’s mass and charge.... Read More about Novel hairy black hole solutions in Einstein-Maxwell-Gauss-Bonnet-scalar theory.

Web of Seiberg-like dualities for 3D N=2 quivers (2022)
Journal Article
Okazaki, T., & Smith, D. J. (2022). Web of Seiberg-like dualities for 3D N=2 quivers. Physical Review D, 105(8), Article 086023. https://doi.org/10.1103/physrevd.105.086023

We construct Seiberg-like dualities of 3D N ¼ 2 general quiver gauge theories with unitary, symplectic, and orthogonal gauge groups coupled to fundamental and bifundamental matter fields. We illustrate this with several examples of linear, circular,... Read More about Web of Seiberg-like dualities for 3D N=2 quivers.

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.

Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory (2016)
Journal Article
Faizal, M., Luo, Y., Smith, D. J., Tan, M., & Zhao, Q. (2017). Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory. Nuclear Physics B, 914, 577-598. https://doi.org/10.1016/j.nuclphysb.2016.11.020

In this paper, we study the restoration of gauge symmetry and up to half the supersymmetry (N=(2,0) or N=(1,1) in two dimensions) for N=2 non-Abelian Chern–Simons theories in the presence of a boundary. We describe the boundary action which is a supe... Read More about Gauge and supersymmetry invariance of N=2 boundary Chern–Simons theory.

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.

Moduli space dynamics of noncommutative U(2) instantons (2015)
Journal Article
Iskauskas, A., & Smith, D. J. (2015). Moduli space dynamics of noncommutative U(2) instantons. Journal of High Energy Physics, 2015, Article 036. https://doi.org/10.1007/jhep06%282015%29036

We consider the low energy dynamics of charge two instantons on noncommutative ℝ NC 2  × ℝ NC 2 in U(2) 5-dimensional super-Yang-Mills, using the Manton approximation for slow-moving instantons to calculate the moduli space metric. By employing the A... Read More about Moduli space dynamics of noncommutative U(2) instantons.

The low energy dynamics of charge two dyonic instantons (2013)
Journal Article
Allen, J., & Smith, D. (2013). The low energy dynamics of charge two dyonic instantons. Journal of High Energy Physics, 2013(2), Article 113. https://doi.org/10.1007/jhep02%282013%29113

We explore the low energy dynamics of charge two instantons and dyonic instantons in SU(2) 5-dimensional Yang-Mills. We make use of the moduli space approximation and first calculate the moduli space metric for two instantons. For dyonic instantons t... Read More about The low energy dynamics of charge two dyonic instantons.

Nonanticommutativity in the presence of a boundary (2013)
Journal Article
Faizal, M., & Smith, D. (2013). Nonanticommutativity in the presence of a boundary. Physical Review D, 87(2), Article 025019. https://doi.org/10.1103/physrevd.87.025019

In this paper we consider nonanticommutative field theories in N=2 superspace formalism on three-dimensional manifolds with a boundary. We modify the original Lagrangian in such a way that it preserves half the supersymmetry even in the presence of a... Read More about Nonanticommutativity in the presence of a boundary.

Open multiple M2-branes I: quantum geometry of the M5-brane in a C-field. (2011)
Journal Article
Chu, C., & Smith, D. J. (2011). Open multiple M2-branes I: quantum geometry of the M5-brane in a C-field. General Relativity and Gravitation, 43(9), 2467-2478. https://doi.org/10.1007/s10714-010-1127-9

We show that the Nahm equation and the Basu–Harvey equation which provide the fuzzy funnel description can be understood as the boundary condition of the F1-strings or M2-branes probing the intersecting branes system. In particular the noncommutative... Read More about Open multiple M2-branes I: quantum geometry of the M5-brane in a C-field..