Phase transitions and black hole stability in gauged N=8 supergravity.
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Date
2026
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad de Concepción
Abstract
Esta tesis presenta un estudio termodinámico detallado de agujeros negros planares y solitones de Anti-de Sitter (AdS) en el marco del modelo STU en D = 4. Este se define como una truncación consistente de la teoría de supergravedad N = 8 gaugeada, teoría que describe el sector sin masa de la compactificación de Kaluza-Klein de la supergravedad en once dimensiones sobre una siete-esfera (S7). Finalmente, esta está identificada como el límite de bajas energías de la Teoría M. Específicamente, se explora la truncación T3, donde, tras imponer una simetría específica sobre las cargas, la dinámica de los tres campos dilatónicos se simplifica en un único dilatón efectivo acoplado a dos cargas independientes. El foco de esta investigación es la completación del espacio de fases térmico para configuraciones foliadas con hipersuperficies de codimensión-2 con topología planar, en las cuales los solitones AdS emergen como los candidatos naturales a vacío de la teoría y actúan como el análogo gravitacional de la fase de confinamiento en la teoría dual. El análisis se desarrolla tanto en el ensamble microcanónico como en el gran canónico, permitiendo una descripción analítica de las transiciones entre las distintas configuraciones gravitacionales. Un aporte fundamental y desafío técnico de este trabajo radica en el tratamiento de los múltiples campos de gauge y escalares propios de estas teorías, factores que complejizan significativamente el análisis termodinámico. Como resultado principal, se presenta un mapeo sistemático de las zonas de estabilidad en el espacio de parámetros del modelo, una tarea inédita que no ha sido documentada previamente en la literatura. Este mapeo permite una comprensión profunda de la estructura de fases de este sector de la supergravedad, llenando un vacío esencial en la descripción de estas soluciones.
This thesis presents a detailed thermodynamic study of planar black holes and Anti de Sitter (AdS) solitons within the framework of the D = 4 STU model. This is defined as a consistent truncation of gauged N = 8 supergravity, a theory that describes the massless sector of the Kaluza-Klein compactification of eleven dimensional supergravity on a seven sphere (S7). Finally, this is identified as the low energy limit of M theory. Specifically, we explore the T3 truncation where, after imposing a specific symmetry on the charges, the dynamics of the three dilatonic fields simplify into a single effective dilaton coupled to two independent charges. The focus of this research is the completion of the thermal phase space for configurations foliated with codimension two hypersurfaces of planar topology, in which AdS solitons emerge as natural vacuum candidates of the theory and act as the gravitational analog of the confining phase in the dual theory. The analysis is developed in both the microcanonical and grand canonical ensembles, allowing an analytical description of the transitions between different gravitational configurations. A fundamental contribution and technical challenge of this work lies in the treatment of the multiple gauge and scalar fields inherent to these theories, factors that significantly complicate the thermodynamic analysis. As a main result, we present a systematic mapping of the stability regions within the parameter space of the model, an unprecedented achievement not previously documented in the literature. This mapping provides a profound understanding of the phase structure in this sector of supergravity, filling an essential gap in the description of these solutions.
This thesis presents a detailed thermodynamic study of planar black holes and Anti de Sitter (AdS) solitons within the framework of the D = 4 STU model. This is defined as a consistent truncation of gauged N = 8 supergravity, a theory that describes the massless sector of the Kaluza-Klein compactification of eleven dimensional supergravity on a seven sphere (S7). Finally, this is identified as the low energy limit of M theory. Specifically, we explore the T3 truncation where, after imposing a specific symmetry on the charges, the dynamics of the three dilatonic fields simplify into a single effective dilaton coupled to two independent charges. The focus of this research is the completion of the thermal phase space for configurations foliated with codimension two hypersurfaces of planar topology, in which AdS solitons emerge as natural vacuum candidates of the theory and act as the gravitational analog of the confining phase in the dual theory. The analysis is developed in both the microcanonical and grand canonical ensembles, allowing an analytical description of the transitions between different gravitational configurations. A fundamental contribution and technical challenge of this work lies in the treatment of the multiple gauge and scalar fields inherent to these theories, factors that significantly complicate the thermodynamic analysis. As a main result, we present a systematic mapping of the stability regions within the parameter space of the model, an unprecedented achievement not previously documented in the literature. This mapping provides a profound understanding of the phase structure in this sector of supergravity, filling an essential gap in the description of these solutions.
Description
Tesis presentada para optar al grado de Magíster en Ciencias con mención en Física.
Keywords
Black holes (Astronomy), Supergravity, String theory, Solitons