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We investigate the various properties of Janus supersymmetric Yang-Mills theories. A novel vacuum structure is found and BPS monopoles and dyons are studied. Less supersymmetric Janus theories found before are derived by a simpler method. In addition, we find the supersymmetric theories when the coupling constant depends on two and three spatial coordinates.
We study a class of dilatation invariant BPS surface operators in 4-dimensional N = 4 Super Yang-Mills theory and their holographic duals in type IIB string theory in AdS 5 × S 5. First we take an example of 1/4 BPS surface operator and study it in detail from the holographic point of view. The gravity dual of this surface operator is a D3-brane… (More)
subdomains exist. They include methods using unstructured meshes, body-fitted curvilinear meshes, and Cartesian meshes. This paper discusses an approach that uses " gridless " or " meshless " methods to address the boundary or interface while standard structured grid methods are used everywhere else. The present method uses the Cartesian grid to specify and… (More)
We investigate 1/2 BPS conformal surface operators in the Klebanov-Witten theory. These surface operators preserve certain parts of the conformal symmetry and R-symmetry as well as half of the supersymmetry. We propose the gravity dual of the surface operator as a configuration of a D3-brane in AdS 5 × T 1,1. This D3-brane preserves the same amount of the… (More)
We explore the physics of supersymmetric Janus gauge theories in four dimensions with spatial dependent coupling constants e 2 and θ. For the 8 supersymmetric case, we study the vacuum and Bogomol'nyi-Prasad-Sommerfield spectrum, and the physics of a sharp interface where the couple constants jump. We also find less supersymmetric cases either due to… (More)
We consider topological twisting of recently constructed Chern-Simons-matter theories in three dimensions with N = 4 or higher supersymmetry. We enumerate physically inequivalent twistings for each N , and find two different twistings for N = 4, one for N = 5, 6, and four for N = 8. We construct the two types of N = 4 topological theories, which we call… (More)