## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 7, Number 4 (2003), 577-749

### Topological Correlators in Landau-Ginzburg Models with Boundaries

Anton Kapustin and Yi Li

#### Abstract

We compute topological correlators in Landau-Ginzburg models on a Riemann surface with arbitrary number of handles and boundaries. The boundaries may correspond to arbitrary topological D-branes of type B. We also allow arbitrary operator insertions on the boundary and in the bulk. The answer is given by an explicit formula which can be regarded as an open-string generalization of C. Vafa's formula for closed-string topological correlators. We discuss how to extend our results to the case of Landau-Ginzburg orbifolds.

#### Article information

**Source**

Adv. Theor. Math. Phys. Volume 7, Number 4 (2003), 727-749.

**Dates**

First available: 4 April 2005

**Permanent link to this document**

http://projecteuclid.org/euclid.atmp/1112627039

**Mathematical Reviews number (MathSciNet)**

MR2039036

**Zentralblatt MATH identifier**

1058.81061

#### Citation

Kapustin, Anton; Li, Yi. Topological Correlators in Landau-Ginzburg Models with Boundaries. Advances in Theoretical and Mathematical Physics 7 (2003), no. 4, 727--749. http://projecteuclid.org/euclid.atmp/1112627039.