Open AccessEmbeddings of integrable models in supergravity and their perturbative stability
Author(s) -
Γεώργιος Ίτσιος,
Pantelis Panopoulos,
Konstadinos Sfetsos
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2105/1/012004
Subject(s) - supergravity , physics , coset , parameter space , scalar (mathematics) , mathematical physics , supersymmetry , integrable system , stability (learning theory) , space (punctuation) , radius , mathematics , geometry , combinatorics , philosophy , linguistics , machine learning , computer science , computer security
We discuss the perturbative stability of an AdS 3 non-supersymmetric solution of the type-IIB supergravity, whose internal geometry is given by the direct product of a round three-sphere and two λ -deformed factors based on the coset CFTs SU (2)/ U (1) and SL (2, ℝ)/ SO (1,1). This solution admits a two-dimensional parametric space spanned by the inverse radius of the AdS 3 and the deformation parameter λ . Reality of the background imposes restrictions on the values of these parameters. Further limitations on the values of the inverse radius and the parameter λ arise after requiring the stability of the solution. Our approach relies on the study of scalar perturbations around the AdS 3 vacuum of a three-dimensional effective theory. This reveals the existence of a region in the parametric space where the Breitenlohner-Freedman bound is not violated.