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

Received: January Marginal deformations of 3d supersymmetric Yasuaki Hikida 1 Taiki Wada 0 Open Access c The Authors. 0 Department of Physical Sciences, College of Science and Engineering

Anomalous dimensions of higher spin currents in large N CFTs

We 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 type A and type B Vasiliev theories, respectively. We reproduce the known results on the anomalous dimensions to the leading order in 1/N by using conformal perturbation theory. This work can ...

Higgs phenomenon for higher spin fields on AdS3

In a previous work, a marginal deformation of 2d coset type model with \( \mathcal{N}=3 \) superconformal symmetry was studied, and it was interpreted as a change of boundary conditions for bulk fields in the dual higher spin theory. The deformation breaks generic higher spin gauge symmetry, and the generated mass of a spin 2 field was computed. The deformation might be related to ...

Correspondences between WZNW models and CFTs with W-algebra symmetry

We study theories with W-algebra symmetries and their relation to WZNW-type models on (super-)groups generalizing the H 3 + WZNW to Liouville correspondence. Correlation functions of the WZNW models are expressed in terms of correlators of CFTs with W-algebra symmetry. The symmetries of the theories involved in these correspondences are related by the Drinfeld-Sokolov reduction of ...

Marginal deformations and the Higgs phenomenon in higher spin AdS3 holography

Recently, a 2d coset model with \( \mathcal{N}=3 \) superconformal symmetry was pro-posed to be holographic dual to a higher spin supergravity on AdS3 and the relation to superstring theory was discussed. However, away from the tensionless limit, there is no higher spin symmetry and the higher spin states are massive. In this paper, we examine the deformations of the coset model ...

Higher spin AdS3 holography with extended supersymmetry

We propose a holographic duality between a higher spin AdS3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specific critical level k = N and a non-diagonal modular invariant. As evidence, we show the match of one-loop partition functions. Moreover, we construct symmetry generators of the coset model for low spins ...

Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry

We investigate whether there are unitary families of W-algebras with spin one fields in the natural example of the Feigin-Semikhatov \( W_n^{(2) } \)-algebra. This algebra is conjecturally a quantum Hamiltonian reduction corresponding to a non-principal nilpotent element. We conjecture that this algebra admits a unitary real form for even n. Our main result is that this conjecture ...