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We construct all eleven-dimensional, three-charge BPS solutions that preserve a fixed, standard set of supersymmetries. Our solutions include all BPS three-charge rotating black holes, black rings, supertubes, as well as arbitrary…

High Energy Physics - Theory · Physics 2007-05-23 Iosif Bena , Nicholas P. Warner

We investigate the vortex-type BPS equations in the ABJM theory without and with mass-deformation. We systematically classify the BPS equations in terms of the number of supersymmetry and the R-symmetries of the undeformed and mass-deformed…

High Energy Physics - Theory · Physics 2015-06-12 Gyungchoon Go , Chanju Kim , Yoonbai Kim , O-Kab Kwon , Hiroaki Nakajima

We propose a formulation of 11-dimensional M-theory in terms of five-branes with closed strings on their world-volume. We use this description to construct the complete spectrum of BPS states in compactifications to six and five dimensions.…

High Energy Physics - Theory · Physics 2009-07-09 R. Dijkgraaf , E. Verlinde , H. Verlinde

We report on duality invariant constraints, which allow a classification of BPS black holes preserving different fractions of supersymmetry. We then relate this analysis to the orbits of the exceptional groups $E_{6(6)}, E_{7(7)}$, relevant…

High Energy Physics - Theory · Physics 2015-06-26 S. Ferrara

The invariant integration method for Chern-Simons theory for gauge group SU(2) and manifold \Gamma\H^3 is verified in the semiclassical approximation. The semiclassical limit for the partition function associated with a connected sum of…

High Energy Physics - Theory · Physics 2009-10-31 A. A. Bytsenko , A. E. Goncalves , W. da Cruz

We consider the Witten-Reshetikhin-Turaev invariants or Chern-Simons partition function at or around roots of unity $q=e^{2\pi i \frac{1}{K}}$ with rational level $K=\frac{r}{s}$ where $r$ and $s$ are coprime integers. From the exact…

High Energy Physics - Theory · Physics 2021-01-29 Hee-Joong Chung

We derive the BPS type of first order differential equations for the rotating black hole solutions in the three-dimensional Einstein gravity coupled minimally with a self-interacting scalar field, using fake supersymmetry formalism. It…

High Energy Physics - Theory · Physics 2013-04-03 Seungjoon Hyun , Jaehoon Jeong , Sang-Heon Yi

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…

High Energy Physics - Theory · Physics 2022-12-01 Nadav Drukker , Ziwen Kong , Malte Probst , Marcia Tenser , Diego Trancanelli

We propose a new nonrelativistic Chern-Simons theory based on a simple modification of the standard Lagrangian. This admits asymptotically nonvanishing field configurations and is applicable to the description of systems of repulsive…

High Energy Physics - Theory · Physics 2009-10-28 Igor V. Barashenkov , Alexander O. Harin

We study the line defect half-indices of 3d $\mathcal{N}=2$ supersymmetric Chern-Simons (CS) theories with (special)unitary, symplectic, orthogonal and exceptional gauge groups. We find that they have several beautiful infinite product…

High Energy Physics - Theory · Physics 2025-07-29 Tadashi Okazaki , Douglas J. Smith

We compute the quasi-normal mode (QNM) frequencies of slowly rotating black holes in dynamical Chern-Simons (dCS) gravity, including corrections up to second order in the black hole's dimensionless spin parameter $\chi = J/M^2$ and second…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Tharaka Alapati , S. Shankaranarayanan

The Chern-Simons theory defined on a 3-dimensional manifold with boundary is written as a two-dimensional field theory defined only on the boundary of the three-manifold. The resulting theory is, essentially, the pullback to the boundary of…

High Energy Physics - Theory · Physics 2011-08-09 Alejandro Gallardo , Merced Montesinos

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

Stationary black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory possess surprising properties. When considering the Chern-Simons coefficient $\lambda$ as a parameter, two critical values of $\lambda$ appear: the supergravity…

High Energy Physics - Theory · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida

By means of an identity that equates elliptic genus partition function of a supersymmetric sigma model on the $N$-fold symmetric product $S^N X$ of $X$ ($S^N X=X^N/S_N$, $S_N$ is the symmetric group of $N$ elements) to the partition…

High Energy Physics - Theory · Physics 2009-11-10 M. C. B. Abdalla , A. A. Bytsenko , M. E. X. Guimaraes

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

We study a certain class of supersymmetric (SUSY) observables in 3d $\mathcal{N}=2$ SUSY Chern-Simons (CS) matter theories and investigate how their exact results are related to the perturbative series with respect to coupling constants…

High Energy Physics - Theory · Physics 2018-12-27 Toshiaki Fujimori , Masazumi Honda , Syo Kamata , Tatsuhiro Misumi , Norisuke Sakai

We study asymptotically Lifshitz solutions to three dimensional higher spin gravity in the SL(3,R)xSL(3,R) Chern-Simons formulation. We begin by specifying the most general connections satisfying Lifshitz boundary conditions, and we verify…

High Energy Physics - Theory · Physics 2015-06-17 Michael Gutperle , Eliot Hijano , Joshua Samani

Chern-Simons gauge theories in 3 dimensions and the Poisson Sigma Model (PSM) in 2 dimensions are examples of the same theory, if their field equations are interpreted as morphisms of Lie algebroids and their symmetries (on-shell) as…

Differential Geometry · Mathematics 2007-05-23 Martin Bojowald , Alexei Kotov , Thomas Strobl

Recently, the BTZ black hole in the presence of the gravitational Chern-Simons (GCS) term has been studied and it has been found that the usual thermodynamical quantities, like as the black hole mass, angular momentum, and black hole…

High Energy Physics - Theory · Physics 2008-11-26 Mu-in Park