The geometry of decoupling fields

• DOI: 10.1007/jhep09(2022)197
• Publication Date: 2022-09-24T07:02:48Z
• Authors: Ibrahima Bah; Federico Bonetti; Enoch Leung; Peter Weck
• Keywords: Anomaly (physics)

We consider 4d field theories obtained by reducing the 6d (1,0) SCFT of $N$ M5-branes probing a $\mathbb C^2/\mathbb Z_k$ singularity on Riemann surface with fluxes. follow two different routes. On one hand, we integration anomaly polynomial parent surface. other perform an inflow analysis directly from eleven dimensions, setup resolved fibered over By comparing polynomials, provide characterization class modes that decouple along RG flow six to four for generic $N$, $k$, and genus. These are identified flip fields encountered in Lagrangian descriptions these models, when they available. show such couple operators originating M2-branes wrapping resolution cycles. This provides geometric origin fields. They interpolate between theory UV, where M2-brane projected out, IR, part spectrum.