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Title: 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 
Issue Date: 2017
Citation: Luo, Y, Tan, M.-C, Vasko, P, Zhao, Q (2017). Four-dimensional N = 2 supersymmetric theory with boundary as a two-dimensional complex Toda theory. Journal of High Energy Physics 2017 (5) : 121. ScholarBank@NUS Repository.
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).
Source Title: Journal of High Energy Physics
ISSN: 1126-6708
DOI: 10.1007/JHEP05(2017)121
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