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In a quantum theory of gravity the gravitational Wilson loop, defined as a suitable quantum average of a parallel transport operator around a large near-planar loop, provides important information about the large-scale curvature properties…

High Energy Physics - Theory · Physics 2008-11-26 Herbert W. Hamber , Ruth M. Williams

We study complex saddles of the Lorentzian path integral for 4D axion gravity and its dual description in terms of a 3-form flux, which include the Giddings-Strominger Euclidean wormhole. Transition amplitudes are computed using the…

High Energy Physics - Theory · Physics 2022-08-24 Gregory J. Loges , Gary Shiu , Nidhi Sudhir

We study the coupling of massive fermions to the quantum mechanical dynamics of spacetime emerging from the spinfoam approach in three dimensions. We first recall the classical theory before constructing a spinfoam model of quantum gravity…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Winston Fairbairn

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

Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various…

High Energy Physics - Theory · Physics 2024-09-20 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov

These are notes of introductory lectures on (a) elements of 2+1 dimensional gravity, (b) some aspects of its relation to Chern-Simons theory, (c) its generalization to couple higher spins, and (d) cosmic singularity resolution as an…

High Energy Physics - Theory · Physics 2015-09-16 K. Surya Kiran , Chethan Krishnan , Avinash Raju

We propose a method for demonstrating equivalences beyond the saddlepoint approximation between quantities in quantum gravity that are defined by the Euclidean path integral, without assumptions about holographic duality. The method…

High Energy Physics - Theory · Physics 2026-02-24 Vijay Balasubramanian , Tom Yildirim

In this note we construct asymptotically Lifshitz spacetimes in the Chern-Simons formulation of three dimensional higher spin gravity and relate the resulting theories to integrable systems which are elements of the KdV hierarchy.

High Energy Physics - Theory · Physics 2015-03-05 Michael Gutperle , Yi Li

Recent work on the loop representation of quantum gravity has revealed previously unsuspected connections between knot theory and quantum gravity, or more generally, 3-dimensional topology and 4-dimensional generally covariant physics. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 John Baez

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 derive analytic all-order-in-spin expressions for the leading-order time-domain waveforms generated in the scattering of two Kerr black holes with arbitrary masses and spin vectors in the presence of all independent cubic deformations of…

High Energy Physics - Theory · Physics 2024-08-02 Andreas Brandhuber , Graham R. Brown , Gang Chen , Gabriele Travaglini , Pablo Vives Matasan

We review some relevant results in the context of higher spin black holes in three-dimensional spacetimes, focusing on their asymptotic behaviour and thermodynamic properties. For simplicity, we mainly discuss the case of gravity…

High Energy Physics - Theory · Physics 2014-05-14 Alfredo Perez , David Tempo , Ricardo Troncoso

We study the relation between the frame-like and metric-like formulation of higher-spin gauge theories in three space-time dimensions. We concentrate on the theory that is described by an SL(3) x SL(3) Chern-Simons theory in the frame-like…

High Energy Physics - Theory · Physics 2015-06-22 Stefan Fredenhagen , Pan Kessel

We provide a necessary and sufficient condition for the consistency of the supertrace, through the existence of a certain ground state projector. We build this projector and check its properties to the first two orders in the number…

High Energy Physics - Theory · Physics 2016-03-03 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela

We study complex Chern-Simons theory on a Seifert manifold $M_3$ by embedding it into string theory. We show that complex Chern-Simons theory on $M_3$ is equivalent to a topologically twisted supersymmetric theory and its partition function…

High Energy Physics - Theory · Physics 2016-06-01 Sergei Gukov , Du Pei

The coupling of spin-3 gauge fields to three-dimensional Maxwell and $AdS$-Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the $AdS$ and the Poincar\'e algebras in three dimensions can be obtained as…

High Energy Physics - Theory · Physics 2018-07-19 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez , Patricio Salgado-Rebolledo

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

High Energy Physics - Theory · Physics 2015-06-23 Varun Vaidya

In 2+1 dimensional Chern-Simons gravity, Wilson loops in the three dimensional Anti de Sitter group, $SO(2,2)$, reproduce the spinning black hole of Ba\~nados, Teitelboim and Zanelli (BTZ) by naturally duplicating the necessary…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Cenalo Vaz , Louis Witten

Three dimensional supersymmetric field theories have large moduli spaces of circular Wilson loops preserving a fixed set of supercharges. We simplify previous constructions of such Wilson loops and amend and clarify their classification.…

High Energy Physics - Theory · Physics 2020-07-16 Nadav Drukker

The N=2 spinning particle action describes the propagation of antisymmetric tensor fields, including vector fields as a special case. In this paper we study the path integral quantization on a one-dimensional torus of the N=2 spinning…

High Energy Physics - Theory · Physics 2009-11-11 Fiorenzo Bastianelli , Paolo Benincasa , Simone Giombi