1. Introduction to Supersymmetry (SUSY) and Extra Dimensions
2. Review of SUSY Algebra and Representations
3. Poincaré Symmetry and Spinors
4. Supersymmetry Algebra
5. Supersymmetry Representations
6. Massless and Massive Supermultiplets
7. Introduction to Extended Supersymmetry
8. Algebra of Extended Supersymmetry
9. Representations of N > 1 Supersymmetry
10. Basics about Superspace
11. Transformation of the General Scalar Superfield
12. Superfield Properties & Chiral Superfields
13. Properties of Chiral and Vector Superfields
14. 4D Supersymmetry Lagrangians (No Audio)
15. Remarks on N = 1 Global Supersymmetry
16. Action as a Superspace Integral
17. Non-renormalization Theorems
18. N = 2, 4 Global Supersymmetry
19. Introduction to Supersymmetry Breaking
20. N = 1 Supergravity & The MSSM
21. The Hierarchy Problem
22. Basics of Kaluza Klein theories: The Mathematics of Extra Dimensions
23. Antisymmetric Tensor Fields (Partial Audio)
24. Gravitation in Kaluza Klein theory
25. The Brane World & SUSY in Higher Dimensions

This is a complete advanced graduate-level physics course delivered by Fernando Quevedo at Cambridge University on the science and mathematics of supersymmetry (SUSY) and extra dimensions. Unfortunately, lecture 14 has no audio, and lecture 23 only has partial audio. These lectures are accompanied by a full set of notes found under the “Read Textbook” button.

Based on the lecture notes, the title of each lecture was named as close to the notes as possible.

Topics covered in this course include: supersymmetry algebra, Poincaré symmetry, spinors, SUSY representations, massless supermultiplets, massive supermultiplets, extended SUSY, N = 1 SUSY, representation of N > 1 SUSY, superfields, superspace, general scalar superfield, chiral superfields, vector superfields, 4D SUSY Lagrangians, N = 1 global SUSY, action as a superspace integral, SUSY breaking, O’Raifeartaigh model, F term breaking, D term breaking, supergravity, MSSM, MSSM particles and interactions, hierarchy problem, cosmological constant problem, extra dimensions, Kaluza Klein theories, Klein-Gordon equation, Scalar and Vector field in 5D, duality and antisymmetric tensor fields, brane world scenario, large extra dimensions, warped compactifications, and more.