Boundary states, matrix factorisations and correlation functions for the E-models

TL;DR

This paper computes open string spectra for B-type D-branes in N=2 E-models, matches boundary states to matrix factorisations, and calculates brane superpotentials to test recent theoretical results.

Contribution

It provides a detailed match between boundary states and matrix factorisations in E-models and computes superpotentials using conformal field theory methods.

Findings

Successfully matched boundary states to matrix factorisations.

Calculated specific terms in the brane superpotential for E6.

Tested and confirmed recent theoretical predictions.

Abstract

The open string spectra of the B-type D-branes of the N=2 E-models are calculated. Using these results we match the boundary states to the matrix factorisations of the corresponding Landau-Ginzburg models. The identification allows us to calculate specific terms in the effective brane superpotential of E_6 using conformal field theory methods, thereby enabling us to test results recently obtained in this context.