Understanding symmetries in quantum field theory is crucial for unraveling the fundamental principles that govern physical systems. Though less explored than ordinary symmetry, treading the path of generalized symmetries opens up new avenues for understanding complex phenomena. The goal of this thesis is to investigate these symmetries in 3dimensional QFTs through the derivation of a bulk topological theory in one dimension higher that describes the discrete generalized symmetries of strongly coupled 3d orthosymplectic ABJ (AharonyBergmanJafferis) theories. In order to achieve this, the research will rely on holographic duality, established through AdS/CFT correspondence, which eases the investigation of nonperturbative phenomena by mapping a given strongly coupled ddimensional QFTs to a weakly coupled gravitational theory in (d+1) dimensions. String theory, and in particular its lowenergy limit (IIA supergravity), does in fact offer a useful framework for capturing symmetries through a topological limit or, better said, truncation. With a particular focus on the flux sector of supergravity and by using the discrete torsions of the holographic geometry in IIA, i.e. AdS_4 x CP^3/Z_2, we construct the 4dimensional "Symmetry topological field theory (TFT)'' via compactification on the space, CP^3/Z_2. The resulting TFT then allows to identify generalized symmetries and anomalies of the original QFT in terms of couplings between branes, that are the fundamental extended dynamical objects of string theory. This thesis contributes to a deeper understanding of the nature of generalized symmetries in 3dimensional QFTs and their connections to holography and string theory. Such knowledge can have implications in various fields, including condensed matter physics and topological phases of matter.
Understanding symmetries in quantum field theory is crucial for unraveling the fundamental principles that govern physical systems. Though less explored than ordinary symmetry, treading the path of generalized symmetries opens up new avenues for understanding complex phenomena. The goal of this thesis is to investigate these symmetries in 3dimensional QFTs through the derivation of a bulk topological theory in one dimension higher that describes the discrete generalized symmetries of strongly coupled 3d orthosymplectic ABJ (AharonyBergmanJafferis) theories. In order to achieve this, the research will rely on holographic duality, established through AdS/CFT correspondence, which eases the investigation of nonperturbative phenomena by mapping a given strongly coupled ddimensional QFTs to a weakly coupled gravitational theory in (d+1) dimensions. String theory, and in particular its lowenergy limit (IIA supergravity), does in fact offer a useful framework for capturing symmetries through a topological limit or, better said, truncation. With a particular focus on the flux sector of supergravity and by using the discrete torsions of the holographic geometry in IIA, i.e. AdS_4 x CP^3/Z_2, we construct the 4dimensional "Symmetry topological field theory (TFT)'' via compactification on the space, CP^3/Z_2. The resulting TFT then allows to identify generalized symmetries and anomalies of the original QFT in terms of couplings between branes, that are the fundamental extended dynamical objects of string theory. This thesis contributes to a deeper understanding of the nature of generalized symmetries in 3dimensional QFTs and their connections to holography and string theory. Such knowledge can have implications in various fields, including condensed matter physics and topological phases of matter.
Generalized symmetries and symmetry topological field theory of 3dimensional ABJ theories from string theory and branes
ZERBINI, PAOLO
2023/2024
Abstract
Understanding symmetries in quantum field theory is crucial for unraveling the fundamental principles that govern physical systems. Though less explored than ordinary symmetry, treading the path of generalized symmetries opens up new avenues for understanding complex phenomena. The goal of this thesis is to investigate these symmetries in 3dimensional QFTs through the derivation of a bulk topological theory in one dimension higher that describes the discrete generalized symmetries of strongly coupled 3d orthosymplectic ABJ (AharonyBergmanJafferis) theories. In order to achieve this, the research will rely on holographic duality, established through AdS/CFT correspondence, which eases the investigation of nonperturbative phenomena by mapping a given strongly coupled ddimensional QFTs to a weakly coupled gravitational theory in (d+1) dimensions. String theory, and in particular its lowenergy limit (IIA supergravity), does in fact offer a useful framework for capturing symmetries through a topological limit or, better said, truncation. With a particular focus on the flux sector of supergravity and by using the discrete torsions of the holographic geometry in IIA, i.e. AdS_4 x CP^3/Z_2, we construct the 4dimensional "Symmetry topological field theory (TFT)'' via compactification on the space, CP^3/Z_2. The resulting TFT then allows to identify generalized symmetries and anomalies of the original QFT in terms of couplings between branes, that are the fundamental extended dynamical objects of string theory. This thesis contributes to a deeper understanding of the nature of generalized symmetries in 3dimensional QFTs and their connections to holography and string theory. Such knowledge can have implications in various fields, including condensed matter physics and topological phases of matter.File  Dimensione  Formato  

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https://hdl.handle.net/20.500.12608/64666