Spin-2 excitations in Gaiotto-Maldacena solutions

Abstract In this paper we study spin-2 excitations for a class of N = 2 supersymmetric solutions of type-IIA supergravity found by Gaiotto and Maldacena. The mass spectrum of these excitations can be derived by solving a second order partial differential equation. As specific examples of this class...

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Published in:Journal of High Energy Physics
Main Authors: Georgios Itsios, José Manuel Penín, Salomón Zacarías
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)231
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author Georgios Itsios
José Manuel Penín
Salomón Zacarías
author_facet Georgios Itsios
José Manuel Penín
Salomón Zacarías
author_sort Georgios Itsios
collection DOAJ
container_title Journal of High Energy Physics
description Abstract In this paper we study spin-2 excitations for a class of N = 2 supersymmetric solutions of type-IIA supergravity found by Gaiotto and Maldacena. The mass spectrum of these excitations can be derived by solving a second order partial differential equation. As specific examples of this class we consider the Abelian and non-Abelian T-dual versions of the AdS5 × S 5 and we study the corresponding mass spectra. For the modes that do not “feel” the (non-)Abelian T-duality transformation we provide analytic formulas for the masses, while for the rest we were only able to derive the spectra numerically. The numerical values that correspond to large masses are compared with WKB approximate formulas. We also find a lower bound for the masses. Finally, we study the field theoretical implications of our results and propose dual spin-2 operators.
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spelling doaj-art-03f80faa4d2b44d3ac01f0659e6ea8ee2025-08-19T21:12:32ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191012710.1007/JHEP10(2019)231Spin-2 excitations in Gaiotto-Maldacena solutionsGeorgios Itsios0José Manuel Penín1Salomón Zacarías2Instituto de Física Teórica, UNESP-Universidade Estadual PaulistaDepartamento de Física de Partículas and Instituto Galego de Física de Altas Enerxías (IGFAE), Universidade de Santiago de CompostelaShanghai Center for Complex Physics, Department of Physics and Astronomy, Shanghai JiaoTong UniversityAbstract In this paper we study spin-2 excitations for a class of N = 2 supersymmetric solutions of type-IIA supergravity found by Gaiotto and Maldacena. The mass spectrum of these excitations can be derived by solving a second order partial differential equation. As specific examples of this class we consider the Abelian and non-Abelian T-dual versions of the AdS5 × S 5 and we study the corresponding mass spectra. For the modes that do not “feel” the (non-)Abelian T-duality transformation we provide analytic formulas for the masses, while for the rest we were only able to derive the spectra numerically. The numerical values that correspond to large masses are compared with WKB approximate formulas. We also find a lower bound for the masses. Finally, we study the field theoretical implications of our results and propose dual spin-2 operators.http://link.springer.com/article/10.1007/JHEP10(2019)231AdS-CFT CorrespondenceGauge-gravity correspondenceSupersymmetric Gauge Theory
spellingShingle Georgios Itsios
José Manuel Penín
Salomón Zacarías
Spin-2 excitations in Gaiotto-Maldacena solutions
AdS-CFT Correspondence
Gauge-gravity correspondence
Supersymmetric Gauge Theory
title Spin-2 excitations in Gaiotto-Maldacena solutions
title_full Spin-2 excitations in Gaiotto-Maldacena solutions
title_fullStr Spin-2 excitations in Gaiotto-Maldacena solutions
title_full_unstemmed Spin-2 excitations in Gaiotto-Maldacena solutions
title_short Spin-2 excitations in Gaiotto-Maldacena solutions
title_sort spin 2 excitations in gaiotto maldacena solutions
topic AdS-CFT Correspondence
Gauge-gravity correspondence
Supersymmetric Gauge Theory
url http://link.springer.com/article/10.1007/JHEP10(2019)231
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