Description and contextualization of the subject

Este curso aborda temas avanzados en el área de Física Fundamental, profundizando en aspectos tratados de manera más general en otras asignaturas del programa. En particular, se ofrece una introducción a la supersimetría y a la correspondencia AdS/CFT, uno de los desarrollos más innovadores en la física fundamental de las últimas décadas. Además, el curso incluye una introducción a los aspectos experimentales de la Física de Partículas, con énfasis en el estudio de la Materia Oscura y la Física de Colisionadores.

Learning outcomes of the subject

Knowledge or content:

RCO1. Demonstrate the ability to explain the fundamental principles of the quantum world, both at a basic and technical level.

RCO2. Have a basic knowledge of the relevant literature in quantum mechanics and be capable of effectively reading and understanding research articles.

RCO3. Be able to initiate the development of original ideas and applications within the context of quantum physics research.

RCO4. Possess the capacity for independent research, synthesis, and be able to present in a clear and structured way complex issues related to the various areas of quantum mechanics addressed in this Master¿s program.

RCO5. Under supervision, demonstrate the ability to write and defend original work that meets the quality standards required for publication in high-impact indexed journals.

RCO8. Know the basic literature and demonstrate the ability to solve standard problems in the field of Quantum Field Theory.

RCO9. Know the basic literature and demonstrate the ability to solve standard problems in the field of Quantum Statistical Physics.

RCO10. Know the basic literature and demonstrate the ability to solve standard problems in the field of Fields and Particle Physics.

RCO11. Know the basic literature and demonstrate the ability to solve standard problems in the field of Condensed Matter Physics.



Competencies:

RC1. Possess and understand knowledge that provides a basis or opportunity for developing and/or applying original ideas, often in a research context.

RC2. Apply acquired knowledge and problem-solving skills in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their field of study.

RC3. Demonstrate the ability to integrate knowledge and address the complexity of formulating judgments based on incomplete or limited information, including reflection on social and ethical responsibilities linked to the application of their knowledge and judgments.

RC4. Communicate conclusions, as well as the underlying knowledge and rationale, clearly and unambiguously to both specialized and non-specialized audiences.

RC5. Possess learning skills that enable continued study in a largely self-directed or autonomous manner.



Abilities or skills:



RHE1. Demonstrate proficiency in using tools for bibliographic resource searches.

RHE2. Exhibit critical capacity to read research articles and incorporate their findings into one¿s own work.

RHE3. Write and present original work in one of the official languages and in English.

RHE4. Communicate scientific concepts and results clearly and effectively to both specialized and non-specialized audiences, through presentations and publications.

RHE5. Demonstrate the ability for autonomous learning and staying current with scientific and technological advances.





RHT1. Understand and apply the fundamental principles of quantum mechanics to analyze and solve problems in basic research in quantum science.

RHT3. Effectively integrate into a fundamental or applied research project involving quantum aspects, and solve problems in multidisciplinary environments.

RHT4. Evaluate and select appropriate tools and techniques for research in fundamental physics.

Temary

Introducción a Supersimetría

Supersimetría como una simetría entre bosones y fermiones.

Superespacio y supercampos. Formulación de teorías supersimétricas con supercampos.

Teorías gauge supersimétricas.

Introducción a AdS/CFT.

Simetría conforme en teorías gauge.

Espacio Anti-de Sitter. Correspondencia AdS/CFT.

Correspondencia entre gravedad y teorías gauge.

Introducción a Materia Oscura

Evidencias a favor de la Materia Oscura.

Candidatos y mecanismos de producción: Freeze-out, freeze-in, misalignment, primordial black holes.

Métodos de detección: Detección directa, Detección indirecta, haloscopios.

Introducción a la Física Experimental de Partículas (Física en colisionadores y más allá)

De experimentos de laboratorio a instalaciones de km^3: principios básicos de experimentos de blanco fijo y colisionadores.

El ¿zoo¿ de partículas elementales.

El estudio de la estructura del nucleón mediante deep ineslastic scattering.

La frontera de altas energías en física de particulas: encontrando una aguja en un pajar.

La última frontera en la física de partículas: El futuro de los detectores de partículas.

Bibliography

Basic bibliography

1. Julius Wess and Jonathan Bagger, `¿Supersymmetry and Supergravity¿¿, Princeton Univ. Press 1992.

2. Martin Ammon and Johanna Erdmenger, ¿Gauge/Gravity duality¿, CUP 2015.

3. D.H. Perkins "Introduction to High Energy Physics¿

4. B. Povh, K. Rith et al.: ¿Particles and Nuclei: An Introduction to the Physical Concepts¿

5. Dan Hooper. ¿Particle Cosmology and Astrophysics¿.

6. M.E. Peskin "Concepts of Elementary Particle Physics"