Corpus ID: 236447733

The Holographic Contributions to the Sphere Free Energy

@inproceedings{Binder2021TheHC,
  title={The Holographic Contributions to the Sphere Free Energy},
  author={Damon J. Binder and Daniel Z. Freedman and Silviu S. Pufu and Bernardo Zan},
  year={2021}
}
We study which bulk couplings contribute to the S free energy F (m) of three-dimensional N = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F (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) does depend non-trivially on bulk chiral F-terms, such as prepotential interactions, and on bulk real-mass terms. These… Expand

Tables from this paper

References

SHOWING 1-10 OF 73 REFERENCES
ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level k = 2, which in the large N limit is holographically dual to weaklyExpand
Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories
A bstractWe consider three-dimensional $ \mathcal{N}=2 $ superconformal field theories on a threesphere and analyze their free energy F as a function of background gauge and supergravity fields. AExpand
Squashing, mass, and holography for 3d sphere free energy
We consider the sphere free energy F (b;mI) in N = 6 ABJ(M) theory deformed by both three real masses mI and the squashing parameter b, which has been computed in terms of an N dimensional matrixExpand
Geometric free energy of toric AdS4/CFT3 models
A bstractWe study the supersymmetric free energy of three dimensional Chern-Simons-matter theories holographically dual to AdS4 times toric Sasaki-Einstein seven-manifolds. In the large N limit, weExpand
Three-sphere free energy for classical gauge groups
A bstractIn this note, we calculate the S3 free energy F of 3-d $ \mathcal{N} $ ≥ 4 supersymmetric gauge theories with U(N), O(N), and USp(2N) gauge groups and matter hypermultiplets in theExpand
Nonperturbative tests of three-dimensional dualities
We test several conjectural dualities between strongly coupled superconformal field theories in three dimensions by computing their exact partition functions on a three sphere as a function ofExpand
F-theorem without supersymmetry
The conjectured F-theorem for three-dimensional field theories states that the finite part of the free energy on S3 decreases along RG trajectories and is stationary at the fixed points. In previousExpand
ABJ correlators with weakly broken higher spin symmetry
We consider four-point functions of operators in the stress tensor multiplet of the 3d N = 6 U(N)k×U(N +M)−k or SO(2)2k×USp(2 + 2M)−k ABJ theories in the limit where M and k are taken to infinityExpand
Holographic c-theorems in arbitrary dimensions
We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning theExpand
On N=1 partition functions without R-symmetry
We examine the dependence of four-dimensional Euclidean $\mathcal{N}=1$ partition functions on coupling constants. In particular, we focus on backgrounds without R-symmetry, which arise in the rigidExpand
...
1
2
3
4
5
...