A bstract We initiate a study of the holographic duals of a class of fourdimensional $$ \mathcal{N} $$ N = 2 superconformal field theories that are engineered by wrapping M5branes on a sphere with an irregular puncture. These notably include the stronglycoupled field theories of ArgyresDouglas type. Our solutions are obtained in 7d gauged supergravity, where they take the form of a warped product of AdS 5 and a “halfspindle.” The irregular puncture is modeled by a localized M5brane source in the internal space of the gravity duals. Our solutions feature a realization of supersymmetry that is distinct from the usual topological twist, as well as an interesting Stückelberg mechanism involving the gauge field associated to a generator of the isometry algebra of the internal space. We check the proposed duality by computing the holographic central charge, the flavor symmetry central charge, and the dimensions of various supersymmetric probe M2branes, and matching these with the dual ArgyresDouglas field theories. Furthermore, we compute the large N ’t Hooft anomalies of the field theories using anomaly inflow methods in Mtheory, and find perfect agreement with the proposed duality.
Discrete and higherform symmetries in SCFTs from wrapped M5branes
A bstract We analyze topological mass terms of BF type arising in supersymmetric Mtheory compactifications to AdS 5 . These describe spontaneously broken higherform gauge symmetries in the bulk. Different choices of boundary conditions for the BF terms yield dual field theories with distinct global discrete symmetries. We discuss in detail these symmetries and their ’t Hooft anomalies for 4d $$ \mathcal{N} $$ N = 1 SCFTs arising from M5branes wrapped on a Riemann surface without punctures, including theories from M5branes at a ℤ 2 orbifold singularity. The anomaly polynomial is computed via inflow and contains background fields for discrete global 0, 1, and 2form symmetries and continuous 0form symmetries, as well as axionic background fields. The latter are properly interpreted in the context of anomalies in the space of coupling constants.
 Award ID(s):
 1820784
 Publication Date:
 NSFPAR ID:
 10311166
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2021
 Issue:
 3
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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