Year: 2022
Type: dissertation
Abstract: This thesis focuses on the study of rigid supersymmetry and supergravity theories with the aim of exploiting them in the analysis of 2+1 dimensional condensed matter systems, like graphene.In the first part, we perform a holographic analysis, in the context of the AdS/CFT conjecture, of the four dimensional pure N = 2 anti-de Sitter supergravity.It is carried out by including all the contributions coming from fermionic fields and studying the behaviour of the bulk fields and parameters at the boundary of asymptotically locally AdS spacetimes.Furthermore, we construct the corresponding currents of the conformal field theory and show, by following the prescription of the AdS/CFT correspondence, that they are in fact conserved at the quantum level.In the second part of the thesis, inspired by a duality discovered by Kapustin and Saulina, we construct the superspace Lagrangian for an N = 4 rigid supersymmetric theory of hypermultiplets, whose superspace isometry is encoded in the D 2 (2, 1; α) exceptional supergroup.After projecting the Lagrangian to spacetime, in order to enlight some features of the model, we perform two different twists on the spinorial fields of the hypermultiplets.The first one relates our work to that of Kapustin and Saulina, generalising it to the case in presence of a cosmological constant.The second allows to obtain a Lagrangian whose structure admits the "unconventional supersymmetry".
Source: PORTO@Iris
Author: MATRECANO, RICCARDO
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7219225547