D-branes at multicritical points

TL;DR

This paper investigates the boundary states in two equivalent descriptions of a c=1 conformal field theory at a multicritical point, demonstrating that their brane spectra coincide, thus extending the equivalence to boundary sectors.

Contribution

It provides a detailed analysis of conformal branes at multicritical points, showing the equivalence of brane spectra in different descriptions of the theory.

Findings

Brane spectra in circle and orbifold descriptions are identical at the multicritical point.

The equivalence of the two descriptions extends to boundary sectors.

Similar analysis confirms this for N=1 superconformal theories at c=3/2.

Abstract

The moduli space of c=1 conformal field theories in two dimensions has a multicritical point, where a circle theory is equivalent to an orbifold theory. We analyse all the conformal branes in both descriptions of this theory, and find convincing evidence that the full brane spectrum coincides. This shows that the equivalence of the two descriptions at this multicritical point extends to the boundary sector. We also perform the analogous analysis for one of the multicritical points of the N=1 superconformal field theories at c=3/2. Again the brane spectra are identical for both descriptions, however the identification is more subtle.