Homehep-tharXiv:2605.30354

Quiver Approach to Symmetry Theories

hep-th2026-05v1license

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 XX a Calabi-Yau cone, this data can be extracted from the path algebra of branes probing XX. 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 η\eta-invariants extracted from the boundary geometry X\partial X. 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 C3/Γ\mathbb{C}^{3} / \Gamma 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}
}