Alessio, Francesco (2021) Asymptotic symmetries and modular covariance in General Relativity and gauge theories. [Tesi di dottorato]


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Item Type: Tesi di dottorato
Resource language: English
Title: Asymptotic symmetries and modular covariance in General Relativity and gauge theories
Date: 6 April 2021
Number of Pages: 206
Institution: Università degli Studi di Napoli Federico II
Department: Fisica
Dottorato: Fisica
Ciclo di dottorato: 33
Coordinatore del Corso di dottorato:
Arzano, MicheleUNSPECIFIED
Date: 6 April 2021
Number of Pages: 206
Keywords: General Relativity-Gauge Theories-Asymptotic Symmetries-Casimir-Temperature dualities in QFT
Settori scientifico-disciplinari del MIUR: Area 02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Date Deposited: 16 Apr 2021 05:28
Last Modified: 07 Jun 2023 10:33

Collection description

The first part of this thesis is devoted to the study of asymptotic symmetries in the theory of general relativity. We investigate properties of the Bondi-Metzner-Sachs (BMS) group in four dimensions, that is the asymptotic symmetry group of a certain class of asymptotically flat spacetimes. Particular emphasis is given on the construction of surface charges associated to BMS symmetries and on their connection with the soft graviton theorems, that are important cornerstones of the recently explored infrared structure of asymptotically flat gravity. Furthermore, in the context of asymptotically locally AdS3 spacetimes, we define conformally flat boundary conditions and, consequently, analyze the corresponding asymptotic symmetry and surface charge algebras. We construct a new sector of Weyl charges and examine the features of the holographic boundary theory. In the second part of this work, we deepen the notion of modular invariance and temperature dualities in quantum field theory. We show that the partition function of certain theories living on partially compactified manifolds exhibits modular covariance, allowing to derive interesting high-/low-temperature dualities. Moreover, we apply these results to the case of electromagnetism and linearized gravity in the Casimir effect setup. Even if the two subjects studied in this thesis are not directly related, they both share and make use of techniques in conformal field theory and strongly rely on the role of boundary conditions in gauge theories.


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