D-branes at multicritical points

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.

32 pages, 2 figures

References in corpus (8)

• Conformal boundary states for free bosons and fermions
• The conformal boundary states for SU(2) at level 1
• Morita classes of algebras in modular tensor categories
• Exceptional boundary states at c=1
• Boundary States of c=1 and 3/2 Rational Conformal Field Theories
• Symmetries of perturbed conformal field theories
• N=2 Superconformal boundary states for free bosons and fermions
• A Note on c=1 Virasoro Boundary States and Asymmetric Shift Orbifolds

Cited by in corpus (4)

• ${\mathbb{Z}}_2$ boundary twist fields and the moduli space of D-branes
• Bulk induced boundary perturbations for N=1 superconformal field theories
• Proper Orbifold Cohomology
• Bootstrapping Boundaries and Branes