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We compute correlation functions of local operator insertions on the 1/2 BPS Wilson lines of N=4 Chern-Simons-matter theories in 3 dimensions. We study the algebra preserved by the defect CFT supported on the line, identify the…

High Energy Physics - Theory · Physics 2024-09-06 Riccardo Giordana Pozzi , Diego Trancanelli

Motivated by the question of bulk localization in holography, we study the problem of constructing multi-centered solutions in higher spin gravity which describe point particles in the interior of AdS$_3$. In the Chern-Simons formulation…

High Energy Physics - Theory · Physics 2018-12-05 Ondrej Hulik , Joris Raeymaekers , Orestis Vasilakis

${\cal N} = 8$ superconformal field theories, such as the ABJM theory at Chern-Simons level $k=1$ or $2$, contain 35 scalar operators ${\cal O}_{IJ}$ with $\Delta=1$ in the ${\bf 35}_v$ representation of SO(8). The 3-point correlation…

High Energy Physics - Theory · Physics 2017-06-28 Daniel Z. Freedman , Krzysztof Pilch , Silviu S. Pufu , Nicholas P. Warner

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of…

High Energy Physics - Theory · Physics 2020-01-08 Joris Raeymaekers

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 introduce a new Lie bialgebra structure for the anti de Sitter (AdS) Lie algebra in (2+1)-dimensional spacetime. By gauging the resulting \textit{AdS Lie bialgebra}, we write a Chern-Simons gauge theory of bi-gravity involving two…

High Energy Physics - Theory · Physics 2018-08-28 S. Hoseinzadeh , A. Rezaei-Aghdam

A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it. We explore fermionic conformal field theories (CFTs) that…

High Energy Physics - Theory · Physics 2025-07-29 Kohki Kawabata , Tatsuma Nishioka , Takuya Okuda , Shinichiro Yahagi

In large part, the future utility of modern numerical conformal bootstrap depends on its ability to accurately predict the existence of hitherto unknown non-trivial conformal field theories (CFTs). Here we investigate the extent to which…

High Energy Physics - Theory · Physics 2021-03-31 Matthew T. Dowens , Chris A. Hooley

Chern-Simons theories in three dimensions are topological field theories that may have a holographic interpretation for suitable chosen gauge groups and boundary conditions on the fields. Conformal Chern-Simons gravity is a topological…

High Energy Physics - Theory · Physics 2015-06-19 H. Afshar , A. Bagchi , S. Detournay , D. Grumiller , S. Prohazka , M. Riegler

Based on the gauge-gravity duality, we study the three-dimensional QCD ($\mathrm{QCD}_{3}$) and Chern-Simons theory by constructing the anisotropic black D3-brane solution in IIB supergravity. The deformed bulk geometry is obtained by…

High Energy Physics - Theory · Physics 2022-06-10 Si-wen Li , Sen-kai Luo , Ya-qian Hu

We consider $AdS_3$ $N$-extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable…

High Energy Physics - Theory · Physics 2019-06-26 L. Andrianopoli , B. L. Cerchiai , P. A. Grassi , M. Trigiante

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary…

High Energy Physics - Theory · Physics 2014-11-20 Daniel Grumiller , Ivo Sachs

We perform Monte Carlo calculation of correlation functions in 4d N=4 super Yang-Mills theory on R*S^3 in the planar limit. In order to circumvent the well-known problem of lattice SUSY, we adopt the idea of a novel large-N reduction, which…

High Energy Physics - Lattice · Physics 2010-11-18 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field…

High Energy Physics - Theory · Physics 2023-02-22 Heng-Yu Chen , Shi Chen , Yasuaki Hikida

We discuss some interesting holographical aspects of three-dimensional higher-spin gravity with a negative cosmological constant in the framework of SL(4, R) \times SL(4, R) Chern-Simons theory. Using a recently found technique, we…

High Energy Physics - Theory · Physics 2015-06-03 H. S. Tan

Four-dimensional homogeneous static and rotating black strings in dynamical Chern-Simons modified gravity, with and without torsion, are presented. Each solution is supported by a scalar field that depends linearly on the coordinate that…

General Relativity and Quantum Cosmology · Physics 2019-05-16 Adolfo Cisterna , Cristóbal Corral , Simón del Pino

We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Myung Seok Yoon

Bosonization of the gauged, massive Thirring model in 2+1-dimensions produces a Maxwell-Chern-Simons gauge theory, coupled to a dynamical, massive vector field. Exploiting the Master Lagrangian formalism, two dual theories are constructed,…

High Energy Physics - Theory · Physics 2007-05-23 Subir Ghosh

We study three-dimensional conformal field theories with a large-$N$ limit. Leveraging the framework of slightly broken higher-spin symmetry, we bootstrap correlation functions between the single-trace, local operators and straight,…

High Energy Physics - Theory · Physics 2025-05-16 Gwenaël Ferrando , Amit Sever , Elior Urisman

The 3d $A$-model is a two-dimensional approach to the computation of supersymmetric observables of three-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. In principle, it allows us to compute half-BPS partition functions on any…

High Energy Physics - Theory · Physics 2025-10-22 Cyril Closset , Elias Furrer , Adam Keyes , Osama Khlaif