Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations

Núñez, Carlos (Department of Physics, Swansea University, Swansea, SA2 8PP, United Kingdom) ; Roychowdhury, Dibakar (Department of Physics, Indian Institute of Technology Roorkee, Roorkee, Uttaranchal, 247667, India) ; Speziali, Stefano (Department of Physics, Swansea University, Swansea, SA2 8PP, United Kingdom) ; Zacarías, Salomón (Shanghai Center for Complex Physics, Department of Physics and Astronomy, Shanghai JiaoTong University, Shanghai, 200240, China)

12 April 2019

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.

Published in: Nuclear Physics B (2019)
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.114617
License: CC-BY-3.0

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