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.
The $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy
A bstract We study the massdeformed sphere free energy of threedimensional $$ \mathcal{N} $$ N = 2 superconformal field theories with holographic duals. Building on previous observations, we conjecture a proportionality relation between the sphere free energy on the boundary and the prepotential of the fourdimensional $$ \mathcal{N} $$ N = 2 supergravity theory in the bulk. We verify this formula by explicit computation in several examples of supergravity theories with vector multiplets and hypermultiplets.
 Award ID(s):
 2111977
 Publication Date:
 NSFPAR ID:
 10348505
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2022
 Issue:
 6
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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