A bstract We study which bulk couplings contribute to the S 3 free energy F ( $$ \mathfrak{m} $$ m ) of threedimensional $$ \mathcal{N} $$ N = 2 superconformal field theories with holographic duals, potentially deformed by boundary realmass parameters m. In particular, we show that F ( $$ \mathfrak{m} $$ m ) is independent of a large class of bulk couplings that include nonchiral Fterms and all Dterms. On the other hand, in general, F ( $$ \mathfrak{m} $$ m ) does depend nontrivially on bulk chiral Fterms, such as prepotential interactions, and on bulk realmass terms. These conclusions can be reached solely from properties of the AdS superalgebra, $$ \mathfrak{osp} $$ osp (24). We also consider massive vector multiplets in AdS, which in the dual field theory correspond to long singletrace superconformal multiplets of spin zero. We provide evidence that F ( $$ \mathfrak{m} $$ m ) is insensitive to the vector multiplet mass and to the interaction couplings between the massive vector multiplet and massless ones. In particular, this implies that F ( $$ \mathfrak{m} $$ m ) does not contain information about scaling dimensions or OPE coefficients of singletrace long scalar $$ \mathcal{N} $$ Nmore »
Deformations of surface defect moduli spaces
A bstract Given a 4d $$ \mathcal{N} $$ N = 2 superconformal theory with an $$ \mathcal{N} $$ N = (2 , 2) superconformal surface defect, a marginal perturbation of the bulk theory induces a complex structure deformation of the defect moduli space. We describe a concrete way of computing this deformation using the bulkdefect OPE.
 Award ID(s):
 1914679
 Publication Date:
 NSFPAR ID:
 10339488
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2021
 Issue:
 10
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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