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We study the possible BPS Wilson loops in three-dimensional ${\cal N}=4$ Chern-Simons-matter theory which involve only the gauge field and bilinears of the scalars. Previously known examples are the analogues of the Gaiotto-Yin loops…

高能物理 - 理论 · 物理学 2022-12-01 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

Canonical quantization of three dimensional gravity in the first order formalism suggests that one should allow singular solutions. This paper addresses the importance of singular solutions in the path integral approach to quantum gravity.…

高能物理 - 理论 · 物理学 2007-05-23 Bayram Tekin

We consider three-dimensional ${\mathcal N}=2$ supersymmetric field theories defined on general complex-valued backgrounds of Euclidean new minimal supergravity admitting two Killing spinors of opposite $R$-charges. We compute partition…

高能物理 - 理论 · 物理学 2024-04-17 Matteo Inglese , Dario Martelli , Antonio Pittelli

We show that the planar Chern-Simons (CS) theory on S^3 can be described by its dimensionally reduced model. This description of CS theory can be regarded as a novel large-N reduction for gauge theories on S^3. We find that if one expands…

高能物理 - 理论 · 物理学 2010-05-27 Goro Ishiki , Shinji Shimasaki , Asato Tsuchiya

We extend topologically massive electrodynamics, both by adding a higher derivative action to cast the entire three-term model in Chern-Simons (CS) form, and by embedding it in an AdS background. It can then be written as the sum of two CS…

高能物理 - 理论 · 物理学 2009-11-11 S. Deser

We use the Chern-Simons formulation of higher spin theories in three dimensions to study aspects of holographic W-gravity. Concepts which were useful in studies of pure bulk gravity theories, such as the Fefferman-Graham gauge and the…

高能物理 - 理论 · 物理学 2016-06-22 Wei Li , Stefan Theisen

We obtain the high energy, small angle, 2-particle gravitational scattering amplitudes in topologically massive gravity (TMG) and its two non-dynamical constituents, Einstein and Chern--Simons gravity. We use 't Hooft's approach, formally…

高能物理 - 理论 · 物理学 2008-11-26 S. Deser , J. McCarthy , Alan R. Steif

We elaborate on conformal higher-spin gauge theory in three-dimensional (3D) curved space. For any integer $n>2$ we introduce a conformal spin-$\frac{n}{2}$ gauge field $h_{(n)} =h_{\alpha_1\dots \alpha_n}$ (with $n$ spinor indices) of…

高能物理 - 理论 · 物理学 2018-11-14 Sergei M. Kuzenko , Michael Ponds

Continuing the development of the ZSM-Newton/Coulomb approach to semiclassical Newtonian gravity/electrodynamics [1], we formulate a ZSM-Newton/Coulomb version of the large N approximation scheme proposed by Oriols et al. [2]. We show that…

广义相对论与量子宇宙学 · 物理学 2017-02-09 Maaneli Derakhshani

A wide class of three-dimensional gravity models can be put into "Chern-Simons-like" form. We perform a Hamiltonian analysis of the general model and then specialise to Einstein-Cartan Gravity, General Massive Gravity, the recently proposed…

高能物理 - 理论 · 物理学 2014-12-15 Eric A. Bergshoeff , Olaf Hohm , Wout Merbis , Alasdair J. Routh , Paul K. Townsend

We consider 3-dimensional Euclidean gravity in the weak coupling limit of Smolin and show that it is BF-theory with $\text{U(1)}^3$ as a Lie group. The theory is quantised using loop quantum gravity methods. The kinematical degrees of…

广义相对论与量子宇宙学 · 物理学 2024-10-17 Hanno Sahlmann , Waleed Sherif

We consider Chern-Simons theory on 3-manifold $M$ that is the total space of a circle bundle over a 2d base $\Sigma$. We show that this theory is equivalent to a new 2d TQFT on the base, which we call Caloron BF theory, that can be obtained…

微分几何 · 数学 2017-11-06 Ryan Mickler

The Fierz-Pauli (FP) free field theory for massive spin 2 particles can be extended, in a spacetime of (1+2) dimensions (3D), to a generally covariant parity-preserving interacting field theory, in at least two ways. One is "new massive…

高能物理 - 理论 · 物理学 2014-11-20 Eric Bergshoeff , Olaf Hohm , Paul Townsend

We study three dimensional O(N)_k and U(N)_k Chern-Simons theories coupled to a scalar field in the fundamental representation, in the large N limit. For infinite k this is just the singlet sector of the O(N) (U(N)) vector model, which is…

高能物理 - 理论 · 物理学 2015-05-30 Ofer Aharony , Guy Gur-Ari , Ran Yacoby

In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, where G is a typically non-compact Lie group which depends on the signature of space-time and the…

量子代数 · 数学 2007-05-23 Bernd J Schroers

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

高能物理 - 理论 · 物理学 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

We show that the semi-classical analysis of generic Euclidean path integrals necessarily requires complexification of the action and measure, and consideration of complex saddle solutions. We demonstrate that complex saddle points have a…

高能物理 - 理论 · 物理学 2017-06-02 Alireza Behtash , Gerald V. Dunne , Thomas Schaefer , Tin Sulejmanpasic , Mithat Unsal

We explore thermodynamic contributions to the three-dimensional de Sitter horizon originating from metric and Chern-Simons gauge field fluctuations. In Euclidean signature these are computed by the partition function of gravity coupled to…

高能物理 - 理论 · 物理学 2022-01-14 Dionysios Anninos , Eleanor Harris

We show a large N reduction on S^3 in a BPS sector for a broad class of theories : N>=2 supersymmetric Chern-Simons theory with any number of adjoint and bi-fundamental chiral multiplets.We show that a localization method can be applied to…

高能物理 - 理论 · 物理学 2015-06-04 Masazumi Honda , Yutaka Yoshida

We show that an extended $3D$ Schr\"odinger algebra introduced in [1] can be reformulated as a $3D$ Poincar\'e algebra extended with an SO(2) R-symmetry generator and an $SO(2)$ doublet of bosonic spin-1/2 generators whose commutator closes…

高能物理 - 理论 · 物理学 2019-07-29 Dmitry Chernyavsky , Dmitri Sorokin