Abstract
we study the holographic description of N=2 Super Conformal Field Theories in four dimensions first given by Gaiotto and Maldacena. We present new expressions that holographically calculate characteristic numbers of the CFT and associated Hanany-Witten set-ups, or more dynamical observables, like the central charge. A number of examples of varying complexity are studied and some proofs for these new expressions are presented. We repeat this treatment for the case of the marginally deformed Gaiotto-Maldacena theories, presenting an infinite family of new solutions and compute some of its observables. These new backgrounds rely on the solution of a Laplace equation and a boundary condition, encoding the kinematics of the original conformal field theory.
Highlights
We study holographic aspects of N = 2 and N = 1 Super Conformal Field Theories (SCFTs) in four dimensions
We present compact expressions that calculate the charges, number of branes composing the associated Hanany-Witten set-up, a new formula for the linking numbers of these branes and central charge of the SCFTs, all of these in terms of the function that specify the boundary conditions for the Laplace equation defining the dynamics of the system
In this work we have presented several new entries in the dictionary between SCFTs in four dimensions and supergravity backgrounds with an AdS5 factor
Summary
The associated eleven dimensional picture realises the field theories on different stacks of M5 branes wrapping a Riemann surface [8], which encodes the Seiberg-Witten curve. This relates the problem to integrable systems in two dimensions [9]. This makes feasible a reduction to Type IIA.
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