Exact Results in Supersymmetry - NJSF161

• Title: Exact Results in Supersymmetry
• Guaranteed by: Institute of Particle and Nuclear Physics (32-UCJF)
• Faculty: Faculty of Mathematics and Physics
• Actual: from 2022
• Semester: summer
• E-Credits: 3
• Hours per week, examination: summer s.:2/0, Ex [HT]
• Capacity: unlimited
• Min. number of students: unlimited
• 4EU+: no
• Virtual mobility / capacity: no
• State of the course: taught
• Language: English
• Teaching methods: full-time
• Guarantor: prof. RNDr. Karol Kampf, Ph.D.
• Teacher(s): Mikhail Shifman

Annotation

Aim of the course: Powerful methods based on supersymmetry allow one to find exact solutions to certain problems in strong coupling gauge theories. The inception of some of these methods but also some recent discoveries will be discussed.

Last update: Krtička Milan, prof. Mgr., Ph.D. (23.01.2023)

Literature

English

literatura:

M. Shifman, Supersymmetric tools in Yang-Mills theories at strong coupling: The beginning of a long journey,

Int. J. Mod. Phys. A \textbf{33} (2018) no.12, 1830009

doi:10.1142/S0217751X18300090

[arXiv:1804.01191 [hep-th]].

M. Shifman,

Nonperturbative dynamics in supersymmetric gauge theories,

Prog. Part. Nucl. Phys. \textbf{39} (1997), 1-116

doi:10.1016/S0146-6410(97)00042-2

[arXiv:hep-th/9704114 [hep-th]].

Last update: Krtička Milan, prof. Mgr., Ph.D. (23.01.2023)

Syllabus

English

• General introduction to supersymmetry

• Why supersymmetry is so powerful: central charges and holomorphy

• Short multiplets

• Witten’ index

• Exact result in two dimensional field theories

• Domain wall in supersymmetric glueodynamics: from a soliton to D-brane

• First exact results in four dimensional Yang-Mills theories

• Exact beta functions, gluino condensate and holomorphy

• Super-anomalies

• First analytic solution of confinement in N=2 SUSY Yang-Mills (Seiberg-Witten; outline)

Last update: Krtička Milan, prof. Mgr., Ph.D. (23.01.2023)