Asymptotic structure of maxwell chern-simons gravity theory coupled with spin-3 fields.
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Date
2025
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Universidad de Concepción
Abstract
En esta tesis analizamos las simetrías asintóticas de la teoría de gravedad Chern Simons (CS) en tres dimensiones para una extensión de espín más alto de la llamada álgebra de Maxwell. Proponemos un conjunto de condiciones de borde para la teoría de gravedad antes mencionada y mostramos que la correspondiente álgebra de carga define una extensión de espín más alto del álgebra max-bms3, la cual, a su vez, corresponde a la simetría asintótica de la gravedad CS de Maxwell. También mostramos que el álgebra hs3max-bms3 se puede obtener alternativamente como un límite plano desde tres copias del álgebra W3, con tres cargas centrales independientes.
In this thesis we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the aforementioned flat gravity theory and we show that the corresponding charge algebra defines a higher-spin extension of the max-bms3 algebra, which in turn corresponds the asymptotic symmetries of the Maxwell CS gravity. We also show that the hs3max-bms3 algebra can alternatively be obtained as a vanishing cosmological constant limit of three copies of the W3 algebra, with three independent central charges.
In this thesis we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the aforementioned flat gravity theory and we show that the corresponding charge algebra defines a higher-spin extension of the max-bms3 algebra, which in turn corresponds the asymptotic symmetries of the Maxwell CS gravity. We also show that the hs3max-bms3 algebra can alternatively be obtained as a vanishing cosmological constant limit of three copies of the W3 algebra, with three independent central charges.
Description
Tesis presentada para optar al grado de Magíster en Ciencias con Mención en Física
Keywords
Simetría (Física), Gravedad, Ecuaciones de movimiento