2020/03/31 by Johanna Knapp, Mauricio Romo, Emanuel Scheidegger
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #Brane #Central charge #Charge (physics) #Combinatorics #Computer science #Fixed charge #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematical physics #Mathematics #Moduli #Moduli space #Partition (number theory) #Partition function (quantum field theory) #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Space (punctuation) #Theoretical physics #hep-th #math.AG
paper · pdf · doi:10.1007/s00220-021-04042-w
91 pages, 2 figures, typos corrected, references added. Published version
openalex publication_date 2021/03/29 · arxiv created 2021/04/02 · arxiv updated 2021/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.