Calendar

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 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

Course Info

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As Taught In
Fall 2004
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