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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..