Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity

Abstract In this paper we study the supermultiplet structure of N $$ \mathcal{N} $$ = (1, 1) General Massive Supergravity at non-critical and critical points of its parameter space. To do this, we first linearize the theory around its maximally supersymmetric AdS3 vacuum and obtain the full lineariz...

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Main Authors: Nihat Sadik Deger, George Moutsopoulos, Jan Rosseel
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2018)105
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author Nihat Sadik Deger
George Moutsopoulos
Jan Rosseel
author_facet Nihat Sadik Deger
George Moutsopoulos
Jan Rosseel
author_sort Nihat Sadik Deger
collection DOAJ
description Abstract In this paper we study the supermultiplet structure of N $$ \mathcal{N} $$ = (1, 1) General Massive Supergravity at non-critical and critical points of its parameter space. To do this, we first linearize the theory around its maximally supersymmetric AdS3 vacuum and obtain the full linearized Lagrangian including fermionic terms. At generic values, linearized modes can be organized as two massless and 2 massive multiplets where supersymmetry relates them in the standard way. At critical points logarithmic modes appear and we find that in three of such points some of the supersymmetry transformations are non-invertible in logarithmic multiplets. However, in the fourth critical point, there is a massive logarithmic multiplet with invertible supersymmetry transformations.
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spelling doaj.art-2447c2863f6945b291ec97a3156a87f22022-12-22T00:48:04ZengSpringerOpenJournal of High Energy Physics1029-84792018-04-012018412510.1007/JHEP04(2018)105Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravityNihat Sadik Deger0George Moutsopoulos1Jan Rosseel2Department of Mathematics, Bogazici UniversityDepartment of Mathematics, Bogazici UniversityFaculty of Physics, University of ViennaAbstract In this paper we study the supermultiplet structure of N $$ \mathcal{N} $$ = (1, 1) General Massive Supergravity at non-critical and critical points of its parameter space. To do this, we first linearize the theory around its maximally supersymmetric AdS3 vacuum and obtain the full linearized Lagrangian including fermionic terms. At generic values, linearized modes can be organized as two massless and 2 massive multiplets where supersymmetry relates them in the standard way. At critical points logarithmic modes appear and we find that in three of such points some of the supersymmetry transformations are non-invertible in logarithmic multiplets. However, in the fourth critical point, there is a massive logarithmic multiplet with invertible supersymmetry transformations.http://link.springer.com/article/10.1007/JHEP04(2018)105Supergravity ModelsAdS-CFT Correspondence
spellingShingle Nihat Sadik Deger
George Moutsopoulos
Jan Rosseel
Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity
Journal of High Energy Physics
Supergravity Models
AdS-CFT Correspondence
title Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity
title_full Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity
title_fullStr Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity
title_full_unstemmed Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity
title_short Critical N $$ \mathcal{N} $$ = (1, 1) general massive supergravity
title_sort critical n mathcal n 1 1 general massive supergravity
topic Supergravity Models
AdS-CFT Correspondence
url http://link.springer.com/article/10.1007/JHEP04(2018)105
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