Journal article
Grade restriction and D-brane transport for a nonabelian GLSM of an elliptic curve
J Knapp
International Journal of Modern Physics A | WORLD SCIENTIFIC PUBL CO PTE LTD | Published : 2024
Abstract
In this paper, we discuss a simple model for D-brane transport in nonabelian GLSMs. The model is the elliptic curve version of a nonabelian GLSM introduced by Hori and Tong and has gauge group U(2). It has two geometric phases, both of which describe the same elliptic curve, once realized as a codimension five complete intersection in G(2,5) and once as a determinantal variety. The determinantal phase is strongly coupled with unbroken SU(2). There are two singular points in the moduli space where the theory has a Coulomb branch. Using grade restriction rules, we show how to transport B-branes between the two phases along paths avoiding the singular points. With the help of the GLSM hemispher..
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Grants
Awarded by Australian Research Council
Funding Acknowledgements
I would like to thank the people who have worked with me on GLSMs over the past years: Richard Eager, David Erkinger, Kentaro Hori, Robert Pryor, Mauricio Romo, Emanuel Scheidegger, Thorsten Schimannek, Eric Sharpe and many others who I had the pleasure to interact with on this and related topics. I thank the Simons Center for Geometry and Physics for hospitality during two workshops in 2023. Thanks to my co-authors19 for giving me permission to prepare these notes for the GLSMs@30 proceedings volume. Finally, special thanks go to Eric Sharpe for pitching the idea of a GLSMs@30 workshop and for shouldering most of the organization. I am supported by the Australian Research Council Discovery Project DP210101502 and the Australian Research Council Future Fellowship FT210100514.