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The higher-spin geometries of $W_\infty$-gravity and $W_N$-gravity are analysed and used to derive the complete non-linear structure of the coupling to matter and its symmetries. The symmetry group is a subgroup of the symplectic…

High Energy Physics - Theory · Physics 2016-09-06 C. M. Hull

We explore large-$N$ symmetric orbifolds of the $\mathcal N=2$ minimal models, and find evidence that their moduli spaces each contain a supergravity point. We identify single-trace exactly marginal operators that deform them away from the…

High Energy Physics - Theory · Physics 2020-10-02 Alexandre Belin , Nathan Benjamin , Alejandra Castro , Sarah M. Harrison , Christoph A. Keller

We study the dS/CFT duality between minimal type-A higher-spin gravity and the free Sp(2N) vector model. We consider the bulk spacetime as "elliptic" de Sitter space dS_4/Z_2, in which antipodal points have been identified. We apply a…

High Energy Physics - Theory · Physics 2020-06-30 Yasha Neiman

We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d $\mathcal{N}=2$ theories where such structures a priori are not manifest. These modular structures…

High Energy Physics - Theory · Physics 2020-05-28 Miranda C. N. Cheng , Sungbong Chun , Francesca Ferrari , Sergei Gukov , Sarah M. Harrison

We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge…

High Energy Physics - Theory · Physics 2010-12-09 Marc Henneaux , Soo-Jong Rey

We study a constructive gravitational dual of two-dimensional $T\bar{T}$-deformed conformal field theories (CFTs) grounded in their two-dimensional gravity description. This framework can be viewed as a Randall-Sundrum-type braneworld,…

High Energy Physics - Theory · Physics 2025-08-22 Shinji Hirano , Vinayak Raj

We find non-critical string backgrounds in five and eight dimensions, holographically related to four-dimensional conformal field theories with N=0 and N=1 supersymmetries. In the five-dimensional case we find an AdS_5 background metric for…

High Energy Physics - Theory · Physics 2010-12-03 F. Bigazzi , R. Casero , A. L. Cotrone , E. Kiritsis , A. Paredes

We propose a new $AdS_3/CFT_2$ duality, in which the bulk string theory has a target spacetime $AdS_3$ times a squashed three-sphere $S^3_\flat$, and the dual $CFT_2$ is a symmetric product of sigma models on $R_\phi\times S^3_\flat$,…

High Energy Physics - Theory · Physics 2022-01-19 Bruno Balthazar , Amit Giveon , David Kutasov , Emil J. Martinec

We consider Maxwell theory on a non-spin manifold. Depending on the choice of statistics for line operators, there are three non-anomalous theories and one anomalous theory with different symmetry fractionalizations. We establish the…

High Energy Physics - Theory · Physics 2024-11-05 Naoto Kan , Kohki Kawabata , Hiroki Wada

The U-dualities of maximally supersymmetric non-chiral supergravity (SUGRA) theories lead to strong constraints on the non-perturbative structure of quantum gravity. In this paper we determine Spin- and Pin-lifts of these dualities, which…

High Energy Physics - Theory · Physics 2026-03-31 Vivek Chakrabhavi , Arun Debray , Markus Dierigl , Jonathan J. Heckman

In this note we discuss a possible holographic dual of the two dimensional conformal field theory associated with the world-sheet of a macroscopic superstring in a compactification on four-torus. We assume the near horizon geometry of the…

High Energy Physics - Theory · Physics 2009-02-09 Mohsen Alishahiha , Subir Mukhopadhyay

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

We give an interpretation of holography in the form of the AdS/CFT correspondence in terms of homotopy algebras. A field theory such as a bulk gravity theory can be viewed as a homotopy Lie or $L_{\infty}$ algebra. We extend this dictionary…

High Energy Physics - Theory · Physics 2023-09-08 Christoph Chiaffrino , Talha Ersoy , Olaf Hohm

We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are $2N$ bosonic fields living on the future…

High Energy Physics - Theory · Physics 2017-11-29 Dionysios Anninos , Frederik Denef , Ruben Monten , Zimo Sun

We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the boundary theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$ flat…

High Energy Physics - Theory · Physics 2023-02-22 Felipe Rosso

We examine rectangular W-algebras with $so(M)$ or $sp(2M)$ symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels…

High Energy Physics - Theory · Physics 2020-01-08 Thomas Creutzig , Yasuaki Hikida , Takahiro Uetoko

We study conical geometry with the maximal number of fermionic symmetry in the higher spin supergravity described by sl(N+1|N) + sl(N+1|N) Chern-Simons gauge theory. It was proposed that a three dimensional N=2 higher spin supergravity is…

High Energy Physics - Theory · Physics 2015-06-12 Yasuaki Hikida

We study the general non-minimally coupled charged massive spin 3/2 model both for its low energy phenomenological properties and for its unitarity, causality and degrees of freedom behaviour. When the model is viewed as an effective…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , V. Pascalutsa , A. Waldron

We consider the holographic duality between type-A higher-spin gravity in AdS_4 and the free U(N) vector model. In the bulk, linearized solutions can be translated into twistor functions via the Penrose transform. We propose a holographic…

High Energy Physics - Theory · Physics 2020-06-30 Yasha Neiman

Recently proposed duality relates the critical level limit $\hat{k} \to -2$ of $SU(2)_{\hat{k}}$ WZW models to a classical three-dimensional Einstein gravity on a sphere. In this paper, we propose a dimensional reduced version of this…

High Energy Physics - Theory · Physics 2023-09-26 Kenta Suzuki , Yusuke Taki