A-I-B APPROACH TO MIRROR SYMMETRY

The schedule for this Journal Club on String Theory will be as follows: 

1) The latest news in the world of strings 

Please bring papers that caught your recent attention and briefly summarize motivations, methods and results. 

2) A-I-B approach to mirror symmetry 

Andrei Losev will lead a discussion on: 

"A-I-B approach to mirror symmetry" 

Abstract: Mirror symmetry on toric manifolds is understood as equivalence of conformal field theories. 
1. The Gromov-Witten theory is rewritten as a conformal sigma model in the first order formalizm. 
2. Compactification from $(C^*)_N$ to the full toric manifold is constructed with the help of special \"holomortex\" operators. 
3. A version of T-duality in the first order theory on $(C^*)^N$ is performed, that makes holomortexes local operators in new fundamental fields. That is how we get I-theory. 
4. B-model is obtained from I-theory by analytical continuation.