The holographic contributions to the sphere free energy
Name
13130_2022_Article_17663.pdf
Size
896.37 KB
Format
Unknown
Checksum (MD5)
85651f64f5feb7eee914186491b95f1b
Author(s)
Binder, Damon J.
Freedman, Daniel Z.
Pufu, Silviu S.
Zan, Bernardo
Date Issued
January 2022
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Journal of High Energy Physics. 2022 Jan 28;2022(1):171
Version
Final published version
Abstract
Abstract
We study which bulk couplings contribute to the S3 free energy F(
m
$$ \mathfrak{m} $$
) of three-dimensional
N
$$ \mathcal{N} $$
= 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F(
m
$$ \mathfrak{m} $$
) is independent of a large class of bulk couplings that include non-chiral F-terms and all D-terms. On the other hand, in general, F(
m
$$ \mathfrak{m} $$
) does depend non-trivially on bulk chiral F-terms, such as prepotential interactions, and on bulk real-mass terms. These conclusions can be reached solely from properties of the AdS super-algebra,
osp
$$ \mathfrak{osp} $$
(2|4). We also consider massive vector multiplets in AdS, which in the dual field theory correspond to long single-trace superconformal multiplets of spin zero. We provide evidence that F(
m
$$ \mathfrak{m} $$
) 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(
m
$$ \mathfrak{m} $$
) does not contain information about scaling dimensions or OPE coefficients of single-trace long scalar
N
$$ \mathcal{N} $$
= 2 superconformal multiplets.
Subjects
Nuclear and High Energy Physics
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/JHEP01(2022)171
