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

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 th...

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Main Authors: Carlos Núñez, Dibakar Roychowdhury, Stefano Speziali, Salomón Zacarías
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321319300975
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author Carlos Núñez
Dibakar Roychowdhury
Stefano Speziali
Salomón Zacarías
author_facet Carlos Núñez
Dibakar Roychowdhury
Stefano Speziali
Salomón Zacarías
author_sort Carlos Núñez
collection DOAJ
description 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.
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spelling doaj.art-7a8a8ae6f4594a12af82af99397e6f6f2022-12-22T00:54:09ZengElsevierNuclear Physics B0550-32132019-06-01943Holographic aspects of four dimensional N=2 SCFTs and their marginal deformationsCarlos Núñez0Dibakar Roychowdhury1Stefano Speziali2Salomón Zacarías3Department of Physics, Swansea University, Swansea SA2 8PP, United Kingdom; Corresponding author.Department of Physics, Indian Institute of Technology Roorkee, Roorkee 247667, Uttaranchal, IndiaDepartment of Physics, Swansea University, Swansea SA2 8PP, United KingdomShanghai Center for Complex Physics, Department of Physics and Astronomy, Shanghai JiaoTong University, Shanghai 200240, Chinawe 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.http://www.sciencedirect.com/science/article/pii/S0550321319300975
spellingShingle Carlos Núñez
Dibakar Roychowdhury
Stefano Speziali
Salomón Zacarías
Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
Nuclear Physics B
title Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
title_full Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
title_fullStr Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
title_full_unstemmed Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
title_short Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
title_sort holographic aspects of four dimensional n 2 scfts and their marginal deformations
url http://www.sciencedirect.com/science/article/pii/S0550321319300975
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AT stefanospeziali holographicaspectsoffourdimensionaln2scftsandtheirmarginaldeformations
AT salomonzacarias holographicaspectsoffourdimensionaln2scftsandtheirmarginaldeformations