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 »
Factorized class S theories and surface defects
A bstract It is known that some theories of class S are actually factorized into multiple decoupled nontrivial fourdimensional $$ \mathcal{N} $$ N = 2 theories. We propose a way of constructing examples of this phenomenon using the physics of halfBPS surface defects, and check that it works in one simple example: it correctly reproduces a known realization of two copies of $$ \mathcal{N} $$ N = 2 superconformal SU(2) QCD, describing this factorized theory as a class S theory of type A 3 on a fivepunctured sphere with a twist line. Separately, we also present explicit checks that the Coulomb branch of a putative factorized class S theory has the expected product structure, in two examples.
 Award ID(s):
 1914679
 Publication Date:
 NSFPAR ID:
 10339477
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2021
 Issue:
 12
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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