The holographic contributions to the sphere free energy

  title={The holographic contributions to the sphere free energy},
  author={Damon J. Binder and Daniel Z. Freedman and Silviu S. Pufu and Bernardo Zan},
  journal={Journal of High Energy Physics},
We study which bulk couplings contribute to the S 3 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… 

The $$ \mathcal{N} $$ = 2 prepotential and the sphere free energy

Abstract We study the mass-deformed sphere free energy of three-dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories with holographic duals. Building on previous observations, we

Snowmass White Paper: Bootstrapping String Theory

We discuss progress and prospects in the application of bootstrap methods to string theory. ar X iv :2 20 2. 07 16 3v 1 [ he pth ] 1 5 Fe b 20 22



AdS4/CFT3 from weak to strong string coupling

We consider the four-point function of operators in the stress tensor multiplet of the $U(N)_k\times U(N)_{-k}$ ABJM theory, in the limit where $N$ is taken to infinity while $N/k^{5}$ is held fixed.

Boundary terms and three-point functions: an AdS/CFT puzzle resolved

A bstractN=8$$ \mathcal{N}=8 $$ superconformal field theories, such as the ABJM theory at Chern-Simons level k = 1 or 2, contain 35 scalar operators OIJ$$ {\mathcal{O}}_{IJ} $$ with Δ = 1 in the 35v

From Weak to Strong Coupling in ABJM Theory

The partition function of $${\mathcal{N}=6}$$ supersymmetric Chern–Simons-matter theory (known as ABJM theory) on $${\mathbb{S}^3}$$ , as well as certain Wilson loop observables, are captured by a

The M-theory archipelago

We combine supersymmetric localization results and the numerical conformal bootstrap technique to study the 3d maximally supersymmetric ( N $$ \mathcal{N} $$ = 8) CFT on N coincident M2-branes (the

Rigid supersymmetric theories in curved superspace

We present a uniform treatment of rigid supersymmetric field theories in a curved spacetime $ \mathcal{M} $, focusing on four-dimensional theories with four supercharges. Our discussion is

The holography of F -maximization

A bstractWe find new supersymmetric backgrounds of $ \mathcal{N} $ = 8 gauged supergravity in four Euclidean dimensions that are dual to deformations of ABJM theory on S3. The deformations encode the

$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization

Abstract We compute 1/λ corrections to the four-point functions of half-BPS operators in SU(N) $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory at large N and large ’t Hooft coupling λ

A one-dimensional theory for Higgs branch operators

A bstractWe use supersymmetric localization to calculate correlation functions of half-BPS local operators in 3d N=4$$ \mathcal{N}=4 $$ superconformal field theories whose Lagrangian descriptions

A crack in the conformal window

A bstractIn $ \mathcal{N}=2 $ superconformal three-dimensional field theory the R-symmetry is determined by locally maximizing the free energy F on the three-sphere. Using F-maximization, we study

Solving M-theory with the conformal bootstrap

A bstractWe use the conformal bootstrap to perform a precision study of 3d maximally supersymmetric (N=8$$ \mathcal{N}=8 $$) SCFTs that describe the IR physics on N coincident M2-branes placed either