A class of half-BPS boundary conditions for AK−1 circular quivers
Abstract
We study a string-motivated class of 1/2-BPS boundary conditions for 4d 𝒩=2 AK−1 circular quiver gauge theories with gauge group SU(N)K, engineered by D4-branes suspended between NS5-branes on a circle. For D4-branes ending on a boundary D6-brane sent to infinity, a single-pole ansatz reduces the BPS equations to a constrained algebraic problem. We characterize the structure of its solutions, which exhibit a winding phenomenon with no analogue for linear quivers, and solve several cases explicitly in closed form. A brane-duality argument suggests looking for the S-dual of the pure Neumann boundary condition within this class. We show that the residual gauge symmetry can be discrete only under a condition fixed by tracelessness, in which case it is the centre ℤN, and that solutions with this property exist for every N and K.
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BibTeX
@misc{bason2026class,
title = {{A class of half-BPS boundary conditions for $A_K-1$ circular quivers}},
author = {Davide Bason and Roberto Valandro},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.03339},
eprint = {2606.03339},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.03339},
}
RIS
TY - UNPB
TI - A class of half-BPS boundary conditions for A_K−1 circular quivers
AU - Davide Bason
AU - Roberto Valandro
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2606.03339
UR - https://arxiv.org/abs/2606.03339
AB - We study a string-motivated class of 1/2-BPS boundary conditions for 4d 𝒩=2 A_K−1 circular quiver gauge theories with gauge group SU(N)^K, engineered by D4-branes suspended between NS5-branes on a circle. For D4-branes ending on a boundary D6-brane sent to infinity, a single-pole ansatz reduces the BPS equations to a constrained algebraic problem. We characterize the structure of its solutions, which exhibit a winding phenomenon with no analogue for linear quivers, and solve several cases explicitly in closed form. A brane-duality argument suggests looking for the S-dual of the pure Neumann boundary condition within this class. We show that the residual gauge symmetry can be discrete only under a condition fixed by tracelessness, in which case it is the centre ℤ_N, and that solutions with this property exist for every N and K.
ER -