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arXiv · 2503.06293

B-brane transport in nonabelian GLSMs for $K_{Gr(2,N)}$

Jirui Guo·Mauricio Romo·Lucy Smith
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Abstract

We study the properties of B-branes in a class of nonabelian GLSMs realizing the canonical line bundle $K_{Gr(2,N)}$ in their geometric phase. By analysing the hemisphere partition function, i.e. B-brane central charge, we propose a grade restriction rule and the corresponding window categories for a specific class of paths between phases. We find very striking differences between the cases of N even and N odd. In particular, for the case of N even, we suggest that more than one window category can be possible, for a fixed path. A detailed computation of the open Witten index and some monodromies provides evidence for our proposal for window categories. In addition, we make some remarks about B-branes on the the strongly coupled phase, for the case $N=4$, based on our window proposal.

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Jirui Guo, Mauricio Romo, Lucy Smith. 2025-03-08. B-brane transport in nonabelian GLSMs for $K_{Gr(2,N)}$. https://arxiv.org/abs/2503.06293

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