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Related papers: A note on the $\mathcal{N}=2$ super-$\mathcal{W}_3…

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We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP^2. By reexaming the AdS_4 supergravity scalar potential, the holographic…

High Energy Physics - Theory · Physics 2009-02-12 Changhyun Ahn

Celestial holography promisingly reformulates the scattering amplitude holographically in terms of celestial conformal field theory living at null infinity. Recently, an infinite-dimensional symmetry algebra was discovered in…

High Energy Physics - Theory · Physics 2022-02-09 Hongliang Jiang

WAdS/WCFT correspondence is an interesting realization of non-AdS holography. It relates 3-dimensional Warped-Anti-de Sitter (WAdS$_3$) spaces to a special class of 2-dimensional quantum field theory with chiral scaling symmetry that acts…

High Energy Physics - Theory · Physics 2023-01-11 Gerónimo Caselli , Gaston Giribet , Andrés Goya

The 3d spin-3 gravity theory is holographically dual to a 2d ${\cal W}_3$-extended CFT. In a large-c limit the symmetry algebra of the CFT reduces to $SU(1,2) \times SU(1,2)$. On the ground of symmetry the dual bulk space-time will be given…

High Energy Physics - Theory · Physics 2019-03-27 Ryuichi Nakayama , Kenji Shiohara , Tomotaka Suzuki

We reconsider the Hamiltonian reduction of the action for three dimensional AdS supergravity and $W_3$ higher spin AdS gravity in the Chern-Simons formulation under asymptotically anti-de Sitter boundary conditions. We show that the…

High Energy Physics - Theory · Physics 2023-07-12 Wout Merbis , Turmoli Neogi , Arash Ranjbar

We discuss alternative definitions of the semiclassical partition function in two-dimensional CFTs with higher spin symmetry, in the presence of sources for the higher spin currents. Theories of this type can often be described via…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Juan I. Jottar

We study theories with W-algebra symmetries and their relation to WZNW models on (super-)groups. Correlation functions of the WZNW models are expressed in terms of correlators of CFTs with W-algebra symmetry. The symmetries of the theories…

High Energy Physics - Theory · Physics 2016-03-23 Thomas Creutzig , Yasuaki Hikida , Peter B. Ronne

We develop in detail the holographic framework for an $\mathcal{N}=2$ pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization. We work in…

High Energy Physics - Theory · Physics 2021-02-23 L. Andrianopoli , B. L. Cerchiai , R. Matrecano , O. Miskovic , R. Noris , R. Olea , L. Ravera , M. Trigiante

We discuss the emergence of W-algebras as asymptotic symmetries of higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative cosmological constant. We focus on models involving a finite number of bosonic…

High Energy Physics - Theory · Physics 2010-11-08 Andrea Campoleoni , Stefan Fredenhagen , Stefan Pfenninger , Stefan Theisen

We determine the ${\cal N}=4$ supersymmetric $W_{1+\infty}^{2,2}[\lambda=\frac{1}{4}]$ algebra which is an extension of ${\cal N}=4$ $SO(4)$ superconformal algebra with vanishing central charge. We identify the soft current algebra between…

High Energy Physics - Theory · Physics 2025-07-03 Changhyun Ahn , Man Hea Kim

In this paper we review aspects of anti de Sitter/conformal field theory (AdS/CFT) duality and the notion of holographic renormalization group (RG) flow. We start by discussing supersymmetry and construct the N = 4 super Yang-Mills theory…

High Energy Physics - Theory · Physics 2024-12-10 Han Huang

We investigate the structure of conformal manifolds around AdS$_3 \times S^3$ which lift from continuous flat directions in the scalar potential of gauged supergravity resulting from six-dimensional $\mathcal{N}=(1,1)$ supergravity. Our…

High Energy Physics - Theory · Physics 2025-11-06 Bastien Duboeuf , Camille Eloy , Gabriel Larios

We propose a holographic duality between a 2 dimensional (2d) chiral superconformal field theory and a certain theory of supergravity in 3d with flatspace boundary conditions that is obtained as a double scaling limit of a parity breaking…

High Energy Physics - Theory · Physics 2018-05-30 Arjun Bagchi , Rudranil Basu , Stéphane Detournay , Pulastya Parekh

We develop a consistent partially off-shell framework for evaluating higher-derivative actions of five-dimensional $\cal{N}=1$ gauged supergravity with abelian vector multiplets on AdS$_5$. Using the superconformal formalism, we show that…

High Energy Physics - Theory · Physics 2025-12-01 Kiril Hristov , Saurish Khandelwal , Yi Pang , Gabriele Tartaglino-Mazzucchelli

It is argued that recent developments point to the existence of an AdS_3 x S^2 x T^5 holographic dual for the 2D CFT living on the worldsheet of N coincident heterotic strings in a T^5 compactification, which can in turn be described by an…

High Energy Physics - Theory · Physics 2008-04-01 Joshua M. Lapan , Aaron Simons , Andrew Strominger

We define a 3-algebra with structure constants being symmetric in the first two indices. We also introduce an invariant anti-symmetric tensor into this 3-algebra and call it a symplectic 3-algebra. The general N=5 superconformal…

High Energy Physics - Theory · Physics 2010-08-19 Fa-Min Chen

We study matter-coupled $N=3$ gauged supergravity in four dimensions with various semisimple gauge groups. When coupled to $n$ vector multiplets, the gauged supergravity contains $3+n$ vector fields and $3n$ complex scalars parametrized by…

High Energy Physics - Theory · Physics 2016-06-22 Parinya Karndumri , Khem Upathambhakul

We investigate various aspects of higher-spin anti-de Sitter supergravity in three dimensions as described by Chern-Simons theory based on the finite-dimensional superalgebra sl(N |N - 1), with the particular case of N = 3 as our prime…

High Energy Physics - Theory · Physics 2015-06-11 H. S. Tan

We obtain a new free field realization of $N=2$ super $W_{3}$ algebra using the technique of quantum hamiltonian reduction. The construction is based on a particular choice of the simple root system of the affine Lie superalgebra…

High Energy Physics - Theory · Physics 2015-06-26 Katsushi Ito , Hiroaki Kanno

For the proposed duality relating a family of N=4 superconformal coset models to a certain supersymmetric higher spin theory on AdS_3, the asymptotic symmetry algebra of the bulk description is determined. It is shown that, depending on the…

High Energy Physics - Theory · Physics 2015-06-19 Matthias R. Gaberdiel , Cheng Peng