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Higher spin gravity is an interesting toy model of stringy geometry. Particularly intriguing is the presence of higher spin gauge transformations that redefine notions of invariance in gravity: the existence of event horizons and…

High Energy Physics - Theory · Physics 2015-05-28 Martin Ammon , Michael Gutperle , Per Kraus , Eric Perlmutter

The search for a mathematical foundation for the path integral of Euclidean quantum gravity calls for the construction of random geometry on the spacetime manifold. Following developments in physics on the two-dimensional theory, random…

General Relativity and Quantum Cosmology · Physics 2023-07-20 Timothy Budd

We show that generic three-dimensional $\mathcal N=2$ quiver super Chern-Simons-matter theories admit Bogomol'nyi-Prasad-Sommerfield (BPS) Drukker-Trancanelli (DT) type Wilson loops. We investigate both Wilson loops along timelike infinite…

High Energy Physics - Theory · Physics 2016-04-12 Hao Ouyang , Jun-Bao Wu , Jia-ju Zhang

The title of this article refers to analytic continuation of three-dimensional Chern-Simons gauge theory away from integer values of the usual coupling parameter k, to explore questions such as the volume conjecture, or analytic…

High Energy Physics - Theory · Physics 2010-08-31 Edward Witten

We study the quantum properties of certain BPS Wilson loops in ${\cal N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on…

High Energy Physics - Theory · Physics 2014-11-18 Antonio Bassetto , Luca Griguolo , Fabrizio Pucci , Domenico Seminara

Quantum field theory on rotating black hole spacetimes is plagued with technical difficulties. Here, we describe a general method to renormalize and compute the vacuum polarization of a quantum field in the Hartle-Hawking state on rotating…

General Relativity and Quantum Cosmology · Physics 2015-05-06 Hugo R. C. Ferreira

In this paper, we consider spin-3 Chern-Simons-like theories of gravity as extended theories of spin-3 gravity in (2+1)- dimension. In order to determine the number of local degrees of freedom we present the Hamiltonian formulation of these…

High Energy Physics - Theory · Physics 2016-03-10 M. R. Setare , H. Adami

We show that 3D gravity, in its pure connection formulation, admits a natural 6D interpretation. The 3D field equations for the connection are equivalent to 6D Hitchin equations for the Chern-Simons 3-form in the total space of the…

High Energy Physics - Theory · Physics 2017-05-08 Yannick Herfray , Kirill Krasnov , Carlos Scarinci

We reconsider Chern-Simons gauge theory on a Seifert manifold M, which is the total space of a nontrivial circle bundle over a Riemann surface, possibly with orbifold points. As shown in previous work with Witten, the path integral…

High Energy Physics - Theory · Physics 2014-07-28 Chris Beasley

We study Lorentzian eternal black holes in the Chern-Simons sector of AdS$_3$ higher spin gravity. We probe such black holes using bulk Wilson lines and motivate new regularity conditions that must be obeyed by the bulk connections in order…

High Energy Physics - Theory · Physics 2016-08-24 Alejandra Castro , Nabil Iqbal , Eva Llabrés

The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective description is sufficient for most of the applications, it is…

High Energy Physics - Theory · Physics 2020-12-29 Danilo Artigas , Jakub Bilski , Sean Crowe , Jakub Mielczarek , Tomasz Trześniewski

While general relativity provides a complete geometric theory of gravity, it fails to explain the other three forces of nature, i.e., electromagnetism and weak and strong interactions. We require the quantum field theory (QFT) to explain…

General Relativity and Quantum Cosmology · Physics 2023-04-11 Santanu Das

A new class of two dimensional integrable field theories, based on the mathematical notion of Poisson manifolds, and containing gravity-Yang-Mills systems as well as the G/G gauged Wess-Zumino Witten-model, are presented. The local…

High Energy Physics - Theory · Physics 2007-05-23 P. Schaller , T. Strobl

We construct a spinning particle that reproduces the propagation of the graviton on those curved backgrounds which solve the Einstein equations, with or without cosmological constant, i.e. Einstein manifolds. It is obtained by modifying the…

High Energy Physics - Theory · Physics 2021-02-24 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

We consider $U(N)$ $\mathcal N=4$ super Yang-Mills theory and discuss how to extract the strong coupling limit of non-planar corrections to observables involving the $\frac{1}{2}$-BPS Wilson loop. Our approach is based on a suitable saddle…

High Energy Physics - Theory · Physics 2021-05-12 Matteo Beccaria , Azeem Hasan

We study the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large and positive central charge. The problem is considered in a semiclassical expansion about a…

High Energy Physics - Theory · Physics 2025-07-18 Dionysios Anninos , Teresa Bautista , Beatrix Mühlmann

We investigate the phase structure of three-dimensional quantum gravity coupled to an Ising spin system by means of numerical simulations. The quantum gravity part is modelled by the summation over random simplicial manifolds, and the Ising…

High Energy Physics - Lattice · Physics 2009-10-22 J. Ambjorn , Z. Burda , J. Jurkiewicz , C. F. Kristjansen

We study the algebra of Wilson line operators in three-dimensional N=2 supersymmetric U(M) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M,N), and its connection to K-theoretic Gromov-Witten invariants for Gr(M,N).…

High Energy Physics - Theory · Physics 2020-10-28 Hans Jockers , Peter Mayr , Urmi Ninad , Alexander Tabler

In this article we consider $SU(2)$ Chern-Simons/Higgs theory coupled to gravity in three-dimensions. It is shown that for a cylindrically symmetric vortex both the Einstein equations and the field equations can be reduced to a set of…

High Energy Physics - Theory · Physics 2009-10-28 M. E. X. Guimarães , L. A. J. London

We consider quantum Einstein gravity in three dimensional de Sitter space. The Euclidean path integral is formulated as a sum over geometries, including both perturbative loop corrections and non-perturbative instanton corrections coming…

High Energy Physics - Theory · Physics 2011-09-22 Alejandra Castro , Nima Lashkari , Alexander Maloney