ScholarBank@NUShttps://scholarbank.nus.edu.sgThe DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Tue, 27 Sep 2022 13:38:20 GMT2022-09-27T13:38:20Z5041- Four-dimensional N = 2 supersymmetric theory with boundary as a two-dimensional complex Toda theoryhttps://scholarbank.nus.edu.sg/handle/10635/176091Title: Four-dimensional N = 2 supersymmetric theory with boundary as a two-dimensional complex Toda theory
Authors: Luo, Y; Tan, M.-C; Vasko, P; Zhao, Q
Abstract: We perform a series of dimensional reductions of the 6d, N = (2, 0) SCFT on S2 × Σ × I × S1 down to 2d on Σ. The reductions are performed in three steps: (i) a reduction on S1 (accompanied by a topological twist along Σ) leading to a supersymmetric Yang-Mills theory on S2 × Σ × I, (ii) a further reduction on S2 resulting in a complex Chern-Simons theory defined on Σ × I, with the real part of the complex Chern-Simons level being zero, and the imaginary part being proportional to the ratio of the radii of S2 and S1, and (iii) a final reduction to the boundary modes of complex Chern-Simons theory with the Nahm pole boundary condition at both ends of the interval I, which gives rise to a complex Toda CFT on the Riemann surface Σ. As the reduction of the 6d theory on Σ would give rise to an N = 2 supersymmetric theory on S2 × I × S1, our results imply a 4d-2d duality between four-dimensional N = 2 supersymmetric theory with boundary and two-dimensional complex Toda theory. © 2017, The Author(s).
Sun, 01 Jan 2017 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/1760912017-01-01T00:00:00Z
- Ω-deformation of B-twisted gauge theories and the 3d-3d correspondencehttps://scholarbank.nus.edu.sg/handle/10635/176150Title: Ω-deformation of B-twisted gauge theories and the 3d-3d correspondence
Authors: Luo, Y; Tan, M.-C; Yagi, J; Zhao, Q
Abstract: Abstract: We study Ω-deformation of B-twisted gauge theories in two dimensions. As an application, we construct an Ω-deformed, topologically twisted five-dimensional maximally supersymmetric Yang-Mills theory on the product of a Riemann surface Σ and a three-manifold M, and show that when Σ is a disk, this theory is equivalent to analytically continued Chern-Simons theory on M. Based on these results, we establish a correspondence between three-dimensional (Formula presented.) = 2 superconformal theories and analytically continued Chern-Simons theory. Furthermore, we argue that there is a mirror symmetry between Ω-deformed two-dimensional theories. © 2015, The Author(s).
Thu, 01 Jan 2015 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/1761502015-01-01T00:00:00Z
- Non-local deformation of a supersymmetric field theoryhttps://scholarbank.nus.edu.sg/handle/10635/181250Title: Non-local deformation of a supersymmetric field theory
Authors: Zhao, Q; Faizal, M; Shah, M.B; Bhat, A; Ganai, P.A; Zaz, Z; Masood, S; Raza, J; Irfan, R.M
Abstract: In this paper, we will analyze a supersymmetric field theory deformed by generalized uncertainty principle and Lifshitz scaling. It will be observed that this deformed supersymmetric field theory contains non-local fractional derivative terms. In order to construct such a deformed N= 1 supersymmetric theory, a harmonic extension of functions will be used. However, the supersymmetry will only be preserved for a free theory and will be broken by the inclusion of interaction terms. © 2017, The Author(s).
Sun, 01 Jan 2017 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/1812502017-01-01T00:00:00Z
- Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebrashttps://scholarbank.nus.edu.sg/handle/10635/210922Title: Little strings, quasi-topological sigma model on loop group, and toroidal Lie algebras
Authors: Ashwinkumar, M.; Cao, J.; Luo, Y.; Tan, M.-C.; Zhao, Q.
Abstract: We study the ground states and left-excited states of the A_{k-1} N=(2,0) little string theory. Via a theorem by Atiyah [1], these sectors can be captured by a supersymmetric nonlinear sigma model on CP1 with target space the based loop group of SU(k). The ground states, described by L2-cohomology classes, form modules over an affine Lie algebra, while the left-excited states, described by chiral differential operators, form modules over a toroidal Lie algebra. We also apply our results to analyze the 1/2 and 1/4 BPS sectors of the M5-brane worldvolume theory. © 2018 The Author(s)
Mon, 01 Jan 2018 00:00:00 GMThttps://scholarbank.nus.edu.sg/handle/10635/2109222018-01-01T00:00:00Z