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Holographic Renormalization
We systematically develop the procedure of holographic renormalization for RG flows dual to asymptotically AdS domain walls. All divergences of the on-shell bulk action can be cancelled by addingExpand
On the systematics of open string theories
We clarify the role of the fusion algebra in determining the interactions and the Chan-Paton symmetry of open-string models. Adapting the internal symmetry to the fusion algebra yields correspondingExpand
How to go with an RG flow
We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully computeExpand
Generating tree amplitudes in Script N = 4 SYM and Script N = 8 SG
We study n-point tree amplitudes of = 4 super Yang-Mills theory and = 8 supergravity for general configurations of external particles of the two theories. We construct generating functions forExpand
Instantons in supersymmetric Yang-Mills and D instantons in IIB superstring theory
The one-instanton contributions to various correlation functions of superconformal currents in four-dimensional = 4 supersymmetric SU(2) Yang-Mills theory are evaluated to the lowest order inExpand
Toroidal compactification and symmetry breaking in open-string theories
Abstract In toroidal compactification of open-string theories, the background fields of the “parent” closed string (metric and antisymmetric tensor, with suitable restrictions) are accompanied byExpand
Twist symmetry and open-string Wilson lines
Abstract The Mobius amplitude plays an important role in open-string theories, since it determines which sectors of a given model consist of unoriented open strings. It also fixes the Chan-PatonExpand
Explicit construction of Yang-Mills instantons on ALE spaces
Abstract We describe the explicit construction of Yang-Mills instantons on Asymptotically Locally Euclidean (ALE) spaces, following the work of Kronheimer and Nakajima. For multicenter ALE metrics,Expand
Anomalous dimensions in N=4 SYM theory at order g^4
We compute four-point correlation functions of scalar composite operators in the N=4 supercurrent multiplet at order g^4 using the N=1 superfield formalism. We confirm the interpretation ofExpand
Anatomy of two holographic renormalization group flows
We derive and solve a subset of the fluctuation equations about two domain wall solutions of D = 5, = 8 gauged supergravity. One solution is dual to D = 4, = 4 SYM theory perturbed by an = 1,Expand