# Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry

@article{Hikida2017MarginalDO, title={Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry}, author={Yasuaki Hikida and Taiki Wada}, journal={Journal of High Energy Physics}, year={2017}, volume={2017}, pages={1-31} }

A bstractWe examine the marginal deformations of double-trace type in 3d supersymmetric U(N) model with N complex free bosons and fermions. We compute the anomalous dimensions of higher spin currents to the 1/N order but to all orders in the deformation parameters by mainly applying the conformal perturbation theory. The 3d field theory is supposed to be dual to 4d supersymmetric Vasiliev theory, and the marginal deformations are argued to correspond to modifying boundary conditions for bulk…

## 13 Citations

### Supersymmetric dS/CFT

- Physics
- 2017

A bstractWe put forward new explicit realisations of dS/CFT that relate N$$ \mathcal{N} $$ = 2 supersymmetric Euclidean vector models with reversed spin-statistics in three dimensions to specific…

### Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections

- Physics
- 2017

We study the correlators of the 2d W_N minimal model in the semiclassical regime with large central charge from bulk viewpoint by utilizing open Wilson lines in sl(N) Chern-Simons gauge theory. We…

### Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals

- Physics
- 2020

For a nonlinear partial differential equation for (pseudo)scalars in the bulk of Euclidean AdS_4, arising from a truncation of 11-dimensional supergravity over AdS_4 x S^7/Z_k, we use math tools and…

### Fermions in geodesic Witten diagrams

- PhysicsJournal of High Energy Physics
- 2018

A bstractWe develop the embedding formalism for odd dimensional Dirac spinors in AdS and apply it to the (geodesic) Witten diagrams including fermionic degrees of freedom. We first show that the…

### Fermions in geodesic Witten diagrams

- PhysicsJournal of High Energy Physics
- 2018

We develop the embedding formalism for odd dimensional Dirac spinors in AdS and apply it to the (geodesic) Witten diagrams including fermionic degrees of freedom. We first show that the geodesic…

### Spinning AdS loop diagrams: two point functions

- PhysicsJournal of High Energy Physics
- 2018

We develop a systematic approach to evaluating AdS loop amplitudes with spinning legs based on the spectral (or “split”) representation of bulk-to-bulk propagators, which re-expresses loop diagrams…

### Propagator identities, holographic conformal blocks, and higher-point AdS diagrams

- MathematicsJournal of High Energy Physics
- 2019

A bstractConformal blocks are the fundamental, theory-independent building blocks in any CFT, so it is important to understand their holographic representation in the context of AdS/CFT. We describe…

### Spinor vertices and bubbles in the old conformal bootstrap in AdS/CFT and the fermion mass hierarchy problem: The Yukawa model

- PhysicsPhysical Review D
- 2020

Attempts to resolve the long-standing Fermion mass hierarchy problem in frames of the AdS/CFT correspondence demand the knowledge of bulk fermion masses. The approach of the “old” conformal bootstrap…

### Supersymmetric dS/CFT

- PhysicsJournal of High Energy Physics
- 2018

We put forward new explicit realisations of dS/CFT that relate N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}…

### Instantons in AdS$$_4$$ from (anti)membranes wrapping $$S^7$$ to Bose–Fermi duality in CFT$$_3$$’s

- PhysicsThe European Physical Journal Plus
- 2023

We present new SO(4)-invariant and non-supersymmetric instanton solutions for the conformally coupled m 2 (cid:2) − 2 and massive m 2 (cid:2) +4 (pseudo)scalars arising from a consistent truncation…

## References

SHOWING 1-10 OF 55 REFERENCES

### Masses of higher spin fields on AdS 4 and conformal perturbation theory

- Physics
- 2016

We study the breaking of gauge symmetry for higher spin theory on AdS_4 dual to the 3d critical O(N) vector model. It was argued that the breaking is due to the change of boundary condition for a…

### Anomalous dimensions in CFT with weakly broken higher spin symmetry

- Mathematics
- 2016

A bstractIn a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the…

### Holography of the N=1 higher spin theory on AdS(4)

- Physics
- 2003

We argue that the N = 1 higher-spin theory on AdS4 is holographically dual to the N = 1 supersymmetric critical O(N) vector model in three dimensions. This appears to be a special form of the AdS/CFT…

### Marginal deformations and the Higgs phenomenon in higher spin AdS3 holography

- Physics
- 2015

A bstractRecently, a 2d coset model with N=3$$ \mathcal{N}=3 $$ superconformal symmetry was pro-posed to be holographic dual to a higher spin supergravity on AdS3 and the relation to superstring…

### Higgs phenomenon for higher spin fields on AdS3

- Physics
- 2015

A bstractIn a previous work, a marginal deformation of 2d coset type model with N=3$$ \mathcal{N}=3 $$ superconformal symmetry was studied, and it was interpreted as a change of boundary conditions…

### On the higher-spin spectrum in large N Chern-Simons vector models

- Physics
- 2016

A bstractChern-Simons gauge theories coupled to massless fundamental scalars or fermions define interesting non-supersymmetric 3d CFTs that possess approximate higher-spin symmetries at large N . In…

### Constraining conformal field theories with a slightly broken higher spin symmetry

- Physics
- 2013

We consider three-dimensional conformal field theories that have a higher spin symmetry that is slightly broken. The theories have a large-N limit in the sense that the operators separate into single…

### Anomalous dimensions of higher spin currents in large N CFTs

- Physics
- 2016

A bstractWe examine anomalous dimensions of higher spin currents in the critical O(N) scalar model and the Gross-Neveu model in arbitrary d dimensions. These two models are proposed to be dual to the…

### d = 3 bosonic vector models coupled to Chern-Simons gauge theories

- Mathematics
- 2012

A bstractWe study three dimensional O(N)k and U(N)k Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For infinite k this is just the singlet…