Journal article
D-Brane Central Charge and Landau–Ginzburg Orbifolds
J Knapp, M Romo, E Scheidegger
Communications in Mathematical Physics | SPRINGER | Published : 2021
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 Kähler 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.
Grants
Awarded by University of Melbourne
Funding Acknowledgements
We thank Huai-Liang Chang, David Erkinger, Huijun Fan, Kentaro Hori, Hans Jockers, Maximilian Kreuzer, Wolfgang Lerche, Greg Moore, Daniel Pomerleano, Thorsten Schimannek, Yefeng Shen, Dmytro Shklyarov, and Harald Skarke for discussions and comments. JK thanks BICMR, CERN, and YMSC for hospitality. MR thanks Fields Institute, Caltech and Universidad Andres Bello for hospitality. ES thanks CERN and the University of Melbourne for hospitality. JK was partially supported by the Austrian Science Fund (FWF): [P30904-N27]. ES acknowledges support from NSFC grant No. 11431001. MR acknowledges support from the National Key Research and Development Program of China, grant No. 2020YFA0713000, and the Research Fund for International Young Scientists, NSFC grant No. 11950410500.