| 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 p-forms
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∧ Plane
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 Dp Branes on O(p+4) planes
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 - Dp-D(p+4) System
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 |