Введение в М-теорию

Вторник 17:30-19:00, 403 ауд. ЛК

1. F1 and D2-brane action from the M2-brane action. S-duality between D5 and NS5 branes.

2. Super-Poincare in 11d, BPS states, correspondence between BPS states and objects. Central charges as gauge potentials.

3. U-duality
   - Weyl group of O(10,10), transformation of 1/2BPS states of string thery
   - Weyl group of exceptional algebras, orbits of 1/2BPS states of D=3 maximal SUGRA
   - Exotic branes

4. M-theory as a matrix theory
   - Large N limit of the maximally supersymmetric SU(N) matrix model of supersymmetric quantum mechanics from the membrane
   - BFSS and IKKT models
   - Branes from matrices \cite{Banks:1996nn,Kabat:1997im}

5. Quantization of the supermembrane
   - Instability of the quantum supermembrane
   - M-theory with discrete spectrum: M2 on the pp-wave background

6. М2-branes and CS theory with 16 supercharges, BLG
   - Nahm equation
   - 3-algebras symmetries and the action
   - Theory of two membranes

7. М2-branes and CS theory with 12 supercharges, ABJM