D-brane central charge and Landau-Ginzburg orbifolds

Abstract

We propose a formula for the exact central charge of a B-type D-brane that is expected to hold in all regions of the Kahler moduli space of a Calabi-Yau. For Landau-Ginzburg orbifolds we propose explicit expressions for the mathematical objects that enter into the central charge formula. We show that our results are consistent with results in FJRW theory and the hemisphere partition function of the gauged linear sigma model.

91 pages, 2 figures, typos corrected, references added. Published version

References in corpus (3)

• Phases Of N=2 Theories In 1+1 Dimensions With Boundary
• FJRW rings and Landau-Ginzburg Mirror Symmetry
• Lectures on Mirror Symmetry and Topological String Theory

Cited by in corpus (7)

• Topological Strings on Non-Commutative Resolutions
• On Supersymmetric Interface Defects, Brane Parallel Transport, Order-Disorder Transition and Homological Mirror Symmetry
• On genus-0 invariants of Calabi-Yau hybrid models
• From equivariant volumes to equivariant periods
• Phase transitions in GLSMs and defects
• Nonabelian mirrors and Gromov-Witten invariants
• B-type D-branes in hybrid models