Profesor | Benjamín Pablo Norman | ma ju | 16 a 17:30 | P117 |
Ayudante | Juan Rosendo González Feria |
Supersimetría.
Clases Martes y jueves, 16:00 a 17:30 hrs.
1.1 El grupo SO(1,3) y su álgebra
1.2 Representaciones de so(1,3): Escalar, Vectorial y Adjunta.
1.3 Representaciones de SL(2,C), cubierta universal de SO(1,3)
1.4 El teorema de Coleman-Mandula.
2. Espinores de Majorana, Dirac & Weyl
2.1 El álgebra de Clifford
2.2 Espinores de Dirac
2.3 Espinores de Majorana
2.4 Espinores de Weyl
2.5 Álgebras de División
3. Supersimetría á la Física: Modelo de Wess-Zumino
3.1 Invarianza bajo trasformaciones de Poincaré
3.2 Invarianza bajo transformaciones de Súper-Poincaré
4. Supersimetría á la matemática: Álgebras Súpersimétricas
4.1 Álgebras graduadas: Súper-álgebras
4.2 El álgebra supersimétrica
4.3 Súpersimetría
5. Súper Espacio y Súper Campos
5.1 Súper Espacio
5.2 Súper Campos
5.3 Súper Campos quirales
5.4 Súper Potencial y Súper Campos Vectoriales
5.5 Súper Campos Spinoriales
5.6 Súper Yang-Mills
6. Mecanismos de Ruptura de (Súper) Simetría
1. M. E. Peskin, Supersymmetry in Elementary Particle Physics, arXiv:hep-th 0801.1928v1
2. P. Binetruy, Supersymmetry: Theory, Experiment, and Cosmology. (Oxford U. Press, 2004)
3. Y. Srivastava, Supersymmetry, Superfields and Supergravity: an Introduction. (Bristol:Institute
of Physics Publishing)
4. M. Drees, An Introduction to Supersymmetry, http://arxiv.org/PS_cache/hep-ph/pdf/9611/9611409v1.pdf
5. J. Wess and J. Bagger, Supersymmetry and Supergravity. (Princeton U. Press, 1992)
6. J. D. Lykken, Introduction to Supersymmetry, http://arxiv.org/PS_cache/hep-th/pdf/9612/9612114v1.pdf.
7. R. Haag, J. T. Lopuszanski and M. Sohnius, All Possible Generators Of Supersymmetries Of The S Matrix, Nucl. Phys. B 88, 257 (1975)
8. Callan, et. al. Supersymmetric String Solitons,hep-th/9112030
9. K.S. Stelle, Lectures on Supergravity p-Branes,hep-th/9701088
10. S. R. Coleman and J. Mandula, Phys. Rev. 159 (1967) 1251
11. J. Polchinski, String Theory (Vol. I & II). (Cambridge University Press, 1998)
12. E. Kiritsis, String Theory in a Nutshell. (Princeton University Press, 2007)
0. Akhiezer, et. al, Theory of Linear operators in Hilbert Space, Pitman Pub. Inc., 1981.
S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, Academic Press (1978)
www.cis.upenn.edu/~cis610/geombchap14.pdf (Breve introducción a las Álgebras de Lie)
Ta-Pei Cheng & Ling-Fong Li, Gauge Theory of Elementary Particle Physics, Clarendon Press Oxford.
R. Slansky, Group Theory for Unified Model Building, Physics Reports, 79, No. 1 (1981) 1-128.
Andrzej Derdzinski, Geometry of Standard Model of Elementary Particles, Springer, Berlin, 1992.
W. Miller, Symmetry Groups and their Applications, Academic Press, New York, 1972.
R. Gilmore, Lie Groups, Lie Algebras and some of their applications, Wiley, New York, 1974.
R.G. Wybourne, Classical Groups for Physicists, Wiley, New York, 1974.
T. Bröker & tom Diek, Representations of Compact Lie Groups, Springer-Verlag, 1985.
A. W. Knapp, Lie Gropus, Lie Algebras and Cohomology, Princetion University Press, 1988.