1. Critical $$ \mathcal{N} $$ = (1, 1) general massive supergravity
- Author
-
George Moutsopoulos, Jan Rosseel, and Nihat Sadik Deger
- Subjects
Physics ,Nuclear and High Energy Physics ,010308 nuclear & particles physics ,Supergravity ,High Energy Physics::Phenomenology ,Supersymmetry ,AdS-CFT Correspondence ,Parameter space ,Computer Science::Digital Libraries ,01 natural sciences ,Critical point (mathematics) ,Massless particle ,High Energy Physics::Theory ,AdS/CFT correspondence ,Supermultiplet ,0103 physical sciences ,lcsh:QC770-798 ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,010306 general physics ,Supergravity Models ,Multiplet ,Mathematical physics - Abstract
In this paper we study the supermultiplet structure of $$ \mathcal{N} $$ 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.
- Published
- 2018