Monopoles on the edge
Abstract
Quantum M2-brane instantons are studied in eleven-dimensional Freund-Rubin backgrounds. The construction uses the identification of the Calabi-Yau cone over the Sasaki-Einstein manifold SE7 with the geometric branch of the abelian moduli space of the dual superconformal field theory. A class of BPS cycles in SE7 wrapped by M2-branes is identified as links of two-dimensional holomorphic cones whose coordinate rings contain BPS monopole operators. The algebraic structure and R-charge assignment on the moduli space further allow the computation of both the classical exponents and one-loop partition functions of the corresponding M2-brane instantons. Several three-dimensional superconformal field theories are analysed explicitly, and the relation to the corresponding localisation matrix models is discussed.
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BibTeX
@misc{kurlyand2026monopoles,
title = {{Monopoles on the edge}},
author = {Stefan A. Kurlyand},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18993},
eprint = {2610.18993},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18993},
}
RIS
TY - UNPB
TI - Monopoles on the edge
AU - Stefan A. Kurlyand
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18993
UR - https://arxiv.org/abs/2610.18993
AB - Quantum M2-brane instantons are studied in eleven-dimensional Freund-Rubin backgrounds. The construction uses the identification of the Calabi-Yau cone over the Sasaki-Einstein manifold SE_7 with the geometric branch of the abelian moduli space of the dual superconformal field theory. A class of BPS cycles in SE_7 wrapped by M2-branes is identified as links of two-dimensional holomorphic cones whose coordinate rings contain BPS monopole operators. The algebraic structure and R-charge assignment on the moduli space further allow the computation of both the classical exponents and one-loop partition functions of the corresponding M2-brane instantons. Several three-dimensional superconformal field theories are analysed explicitly, and the relation to the corresponding localisation matrix models is discussed.
ER -