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Related papers: Gravitational Wilson Lines in 3D de Sitter

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We introduce a novel reformulation of three-dimensional gravity in terms of divergenceless vector frames, inspired by the double copy for Chern-Simons theory. This formulation is on-shell equivalent to conventional 3D gravity and provides a…

High Energy Physics - Theory · Physics 2026-03-31 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

Berry connection is conventionally defined as a static gauge field in the Brillouin zone. Here we show that for three-dimensional (3d) time-reversal invariant superconductors, a generalized Berry gauge field behaves as a fluctuating field…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Biao Lian , Cumrun Vafa , Farzan Vafa , Shou-Cheng Zhang

We consider the quantum mechanical description of the de Sitter static patch in three-dimensional general relativity. We consider a Lorentzian path integral that conjecturally computes the Fourier transform of the spectrum of the static…

High Energy Physics - Theory · Physics 2025-05-13 Joydeep Chakravarty , Alexander Maloney , Keivan Namjou , Simon F. Ross

We study the Wilson line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric $SU(N)$ Chern-Simons theories of level $k\le -N$ with Neumann boundary conditions for the gauge fields, together with 2d Fermi multiplets and fundamental 3d…

High Energy Physics - Theory · Physics 2024-06-07 Tadashi Okazaki , Douglas J. Smith

We study $\mathcal{W}_3$ toroidal conformal blocks for degenerate primary fields in AdS/CFT context. In the large central charge limit $\mathcal{W}_3$ algebra reduces to $\mathfrak{sl}_3$ algebra and $\mathfrak{sl}_3$ blocks are defined as…

High Energy Physics - Theory · Physics 2023-05-03 Vladimir Belavin , Pietro Oreglia , Juan Ramos Cabezas

Holographic entanglement entropy provides a direct connection between classical geometry and quantum entanglement; however the usual prescription does not apply to theories of higher spin gravity, where standard notions of geometry are no…

High Energy Physics - Theory · Physics 2016-03-08 Martin Ammon , Alejandra Castro , Nabil Iqbal

We present a class of generally covariant nonlocal gravity models which have a flat-space general relativistic (GR) limit and also possess a stable de Sitter (dS) or Anti-de Sitter (AdS) background with an arbitrary value of its…

High Energy Physics - Theory · Physics 2013-05-30 Andrei O. Barvinsky

We study self-duality in the context of the 3+1-split formalism of gravity with non-zero cosmological constant. Lorentzian self-dual configurations are conformally flat spacetimes and have boundary data determined by classical solutions of…

High Energy Physics - Theory · Physics 2009-02-09 Diego S. Mansi , Anastasios C. Petkou , Giovanni Tagliabue

In Abelian gauge theories with dynamical matter, Wilson lines can end on the insertions of charged fields. We study the endpoints of Wilson lines in large $N$ bosonic QED$_3$. at its critical point. We first study the stability of an…

High Energy Physics - Theory · Physics 2025-12-25 Nabil Iqbal , Navonil Neogi

Noncommutative three-dimensional gravity can be described in terms of a noncommutative Chern-Simons theory. We extend this structure and also propose an action for gravitational fields on an even dimensional noncommutative space. The action…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Nair

We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm

We implement Wilson fermions on 2D Lorentzian triangulation and determine the spectrum of the Dirac-Wilson operator. We compare it to the spectrum of the corresponding operator in the Euclidean background. We use fermionic particle to probe…

High Energy Physics - Lattice · Physics 2008-11-26 L. Bogacz , Z. Burda , J. Jurkiewicz

We investigate the Chern-Simons-like formulation of 3D MMG-like massive gravity models that are "third-way consistent". Building on previous work on exotic massive gravities, we analyze a class of MMG-like theories characterized by a…

High Energy Physics - Theory · Physics 2026-01-08 Büşra Dedeoğlu , Mehmet Ozkan , Özgür Sarıoğlu

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Blagojevic , M. Vasilic

We first derive the boundary theory from the U(1) Chern-Simons theory. The boundary action on an $n$-sheet manifold appears from its back-reaction of the Wilson line. The reason is that the U(1) Chern-Simons theory can provide an exact…

High Energy Physics - Theory · Physics 2022-09-21 Xing Huang , Chen-Te Ma , Hongfei Shu , Chih-Hung Wu

We present a new mass generation mechanism for linearized gravity in three spacetime dimensions, which consists of a lower-dimensional Chern-Simons-like term added to the invariant action. The propagators of the gauge fixed massive action…

High Energy Physics - Theory · Physics 2025-08-20 Erica Bertolini , Edoardo Lui , Nicola Maggiore

We analyze a two dimensional SU(3) gauge model of Wilson lines as a dimensionally reduced model of high temperature QCD_3. In contrast to perturbative dimensional reduction it has an explicit global Z(3) symmetry in the action. The phase…

High Energy Physics - Lattice · Physics 2009-11-10 P. Bialas , A. Morel , B. Petersson

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

Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-$x$ calculations, calculations concerning validation of factorisation schemes and in…

High Energy Physics - Phenomenology · Physics 2015-02-03 Frederik F. Van der Veken

We show that the asymptotic structures of topologically massive gravity in the spacelike stretched AdS sector and an $SL(2,R)\times U(1)$ Chern-Simons gauge theory can be identified by adopting a natural correspondence between their fields…

General Relativity and Quantum Cosmology · Physics 2014-11-20 M. Blagojević , B. Cvetković