Teorías no-abelianas: Yang-Mills y gravitación

Programa:

1. Introducción: analogías y diferencias entre las teorías de Yang-Mills no-abelianas y la Relatividad General.
1. BPS y autodualidad euclídea. Instantones. (Yang-Mills)
2. BPS y autodualidad euclídea. Instantones. (Gravitación)
3. Schwarzschild euclídeo y radiación de Hawking. Termodinámica de agujeros negros.
1. Monopolos: Dirac, ˜t Hooft-Polyakov, diones.
2. Agujeros negros cargados.
2. Vacíos theta, fermiones sin masa, eta˜.
1. Solitones e instantones Yang-Mills.
2. Agujeros negros cargados y otras soluciones con supersimetría residual.
3. BPS y supersimetría.
4. Gravitación y el cuadrado de teorías de Yang-Mills.

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