SES # | TOPICS |
---|---|

1 |
Introduction to Branes Branes Ending on Branes 5 Superstring Theories, 11d Supergravity |

2-3 |
Central Charges in the Supersymmetry Algebra Branes in Type II Theories Dualities in String Theory Tensions of Branes |

4-5 |
Supergravity in Various Dimensions - 32 Supercharges Scalar Manifolds in Various Dimensions Cosmic Strings |

6-7 |
u-dualities and Representations of Electric and Magnetic Excitations on Branes SYM Actions in Various Dimensions Higgs Mechanism - Adjoint Representation |

8-9 |
Brane Realization of Classical Groups for Theories with 16 Supercharges McKay Correspondence Orientifolds Central Charge Formulas for W Bosons Root Systems of Lie Algebras |

10-11 |
BPS Objects Living on Branes Instantons Monopoles Brane Realization of E_n Gauge Theories E_n Representation Theory, Root Systems Supergravity Multiplets - 16 Supercharges, Vector Multiplets and Tensor Multiplets Gravitational Anomalies |

12-13 |
Enhanced Gauge Groups in Type I' W Bosons and Root Systems O8 Montonen Olive Duality and SL(2,Z), Brane Picture in Type IIB Strong Coupling Phenomena in N=8 SYM in 3d and its Brane Realization Orientifolds in Compact Backgrounds 5d SYM with 16 Supercharges and (0,2) Theories in 6d |

14-15 |
Magnetic Monopoles in Type I' SL(2,Z) Duality and N=4 SYM on a Circle UV Completion of 5d SYM with 16 Supercharges - D4 Brane Story Splitting of O3 Planes |

16-17 |
Anomalies in 6d 3d Gauge Theories with 16 Supercharges Theories with 8 Supercharges - Various Supermultiplets |

18 |
Theories with 8 Supercharges Higgs Branch - Moduli Space of Instantons Dual Coxeter Numbers and the Moduli Space of Instantons Matter Content for D Moduli Space of Instantons - ADHM Construction |

19-20 |
Higgs Branch and the Moduli Space of Instantons - Classical Groups A, B, C, D E_n Instantons String Coupling Equation and Beta Function of Supersymmetric Gauge Theories Vacuum Structure of Supersymmetric Gauge Theories with 8 Supercharges - Brane Picture D Branes near Orientifold Planes D4 Branes and 5d BPS States |

21 | Brane Intervals - Hanany Witten Brane Configurations |

22-23 |
The String Coupling and Vector Multiplets Effective Gauge Coupling at One Loop - D Asymptotically Free Gauge Theories with 8 Supercharges and D Brane Realization |

24-25 |
Mirror Symmetry in 3 Dimensions Five Dimensional Fixed Points and their Low Energy Gauge Theory Limits Brane Creation - The Hanany Witten Effect Continuation Past Infinite Coupling |

## Calendar

## Course Info

##### Learning Resource Types

*notes*Lecture Notes

*assignment_turned_in*Problem Sets with Solutions