Quiver Approach to Symmetry Theories
Abstract
Global symmetry anomalies of a quantum field theory (QFT) can be packaged as specific couplings of a higher-dimensional symmetry theory (SymTh). In this work we show that for 5D superconformal field theories (SCFTs) engineered from M-theory backgrounds a Calabi-Yau cone, this data can be extracted from the path algebra of branes probing . This provides a complementary algebraic approach compared with more geometric computations based on the explicit calculation of triple intersection numbers in a resolved geometry and / or -invariants extracted from the boundary geometry . Our method applies in situations where the counterpart geometric computation is either unknown or combinatorially unwieldy. We illustrate with several toric threefold examples, including orbifolds and more general non-orbifold Calabi-Yau cones of Sasaki-Einstein five-manifolds.
Comments: 55 pages + appendices, 12 figures
Cite
@article{arxiv.2605.30354,
title = {Quiver Approach to Symmetry Theories},
author = {Vivek Chakrabhavi and Mirjam Cvetič and Jonathan J. Heckman and Shani Meynet},
journal= {arXiv preprint arXiv:2605.30354},
year = {2026}
}