## Advances in Theoretical and Mathematical Physics

- Adv. Theor. Math. Phys.
- Volume 13, Number 4 (2009), 1077-1135.

### Defects and D-brane monodromies

Ilka Brunner, Hans Jockers, and Daniel Roggenkamp

#### Abstract

In this paper D-brane monodromies are studied from a world-sheet point of view. More precisely, defect lines are used to describe the parallel transport of D-branes along deformations of the underlying bulk conformal field theories. This method is used to derive B-brane monodromies in Kähler moduli spaces of non-linear sigma models on projective hypersurfaces. The corresponding defects are constructed at Landau–Ginzburg points in these moduli spaces where matrix factorization techniques can be used. Transporting them to the large volume phase by means of gauged linear sigma model we find that their action on B-branes at large volume can be described by certain Fourier–Mukai transformations which are known from target space geometric considerations to represent the corresponding monodromies.

#### Article information

**Source**

Adv. Theor. Math. Phys., Volume 13, Number 4 (2009), 1077-1135.

**Dates**

First available in Project Euclid: 6 July 2010

**Permanent link to this document**

https://projecteuclid.org/euclid.atmp/1278423131

**Mathematical Reviews number (MathSciNet)**

MR2661203

**Zentralblatt MATH identifier**

1267.81266

#### Citation

Brunner, Ilka; Jockers, Hans; Roggenkamp, Daniel. Defects and D-brane monodromies. Adv. Theor. Math. Phys. 13 (2009), no. 4, 1077--1135. https://projecteuclid.org/euclid.atmp/1278423131