Chern–Simons theory ≈ Chern–Simons theory
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Level/rank duality and Chern-Simons-matter theories Open
We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including …
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Numerical binary black hole mergers in dynamical Chern-Simons gravity: Scalar field Open
Testing general relativity in the nonlinear, dynamical, strong-field regime of gravity is one of the major goals of gravitational wave astrophysics. Performing precision tests of general relativity (GR) requires numerical inspiral, merger,…
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Edge theory approach to topological entanglement entropy, mutual information, and entanglement negativity in Chern-Simons theories Open
We develop an approach based on edge theories to calculate the entanglement entropy and related quantities in (2+1)-dimensional topologically ordered phases. Our approach is complementary to, e.g., the existing methods using replica trick …
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Classification and properties of symmetry-enriched topological phases: Chern-Simons approach with applications tospin liquids Open
We study 2+1 dimensional phases with topological order, such as fractional\nquantum Hall states and gapped spin liquids, in the presence of global\nsymmetries. Phases that share the same topological order can then differ\ndepending on the …
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Numerical binary black hole collisions in dynamical Chern-Simons gravity Open
We produce the first numerical relativity binary black hole gravitational waveforms in a higher-curvature theory beyond general relativity. In particular, we study head-on collisions of binary black holes in order-reduced dynamical Chern-S…
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Nonrelativistic Chern-Simons theories and three-dimensional Hořava-Lifshitz gravity Open
We show that certain three-dimensional Horava-Lifshitz gravity theories can\nbe written as Chern-Simons gauge theories on various non-relativistic algebras.\nThe algebras are specific extensions of the Bargmann, Newton-Hooke and\nSchroedin…
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Factorization and global symmetries in holography Open
We consider toy models of holography arising from 3d Chern-Simons theory. In this context a duality to an ensemble average over 2d CFTs has been recently proposed. We put forward an alternative approach in which, rather than summing over b…
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Quasinormal modes of slowly-rotating black holes in dynamical Chern-Simons gravity Open
The detection of gravitational waves from compact binary mergers by the\nLIGO/Virgo collaboration has, for the first time, allowed us to test\nrelativistic gravity in its strong, dynamical and nonlinear regime, thus\nopening a new arena to…
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Complex Chern-Simons from M5-branes on the squashed three-sphere Open
A bstract We derive an equivalence between the (2,0) superconformal M5-brane field theory dimensionally reduced on a squashed three-sphere, and Chern-Simons theory with complex gauge group. In the reduction, the massless fermions obtain an…
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Resurgence in complex Chern-Simons theory Open
We study resurgence properties of partition function of SU(2) Chern-Simons theory (WRT invariant) on closed three-manifolds. We check explicitly that in various examples Borel transforms of asymptotic expansions posses expected analytic pr…
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Roadmap on Wilson loops in 3d Chern–Simons-matter theories Open
This is a compact review of recent results on supersymmetric Wilson loops in ABJ(M) and related theories. It aims to be a quick introduction to the state of the art in the field and a discussion of open problems. It is divided into short c…
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Analytical computation of quasinormal modes of slowly rotating black holes in dynamical Chern-Simons gravity Open
Using gravitational wave observations to search for deviations from general relativity (GR) in the strong-gravity regime has become an important research direction. One aspect of the strong gravity modifications to GR is parity violation. …
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Note on monopole operators in Chern-Simons-matter theories Open
A bstract Monopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on ℝ × S 2 with background magnetic flux on S 2 . Gauge invariance requires a dressing with matter …
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Multikink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF field theories Open
Quantum-disordering a discrete-symmetry breaking state by condensing\ndomain-walls can lead to a trivial symmetric insulator state. In this work, we\nshow that if we bind a 1D representation of the symmetry (such as a charge) to\nthe inter…
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Surface theorem for the Chern-Simons axion coupling Open
The Chern-Simons axion coupling of a bulk insulator is only defined modulo a quantum of e2/h. The quantized part of the coupling is uniquely defined for a bounded insulating sample, but it depends on the specific surface termination. Worki…
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Normalized solutions for the Chern–Simons–Schrödinger equation in R^2 Open
In this paper, we study the existence and multiplicity of solutions with a prescribed L 2 -norm for a class of nonlinear Chern-Simons-Schrödinger equations in R 2To get such solutions we look for critical points of the energy functionalWhe…
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Propagation of gravitational waves in Chern-Simons axion Einstein gravity Open
In this paper we shall investigate the propagation of gravitational waves in a flat Friedman-Robertson-Walker background, in the context of a string motivated corrected Einstein gravity. Particularly, we shall consider a misalignment axion…
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Chern-Simons Current of Left and Right Chiral Superspace in Graphene Wormhole Open
Starting from the basic definitions of Chern-Simons current, it is possible to calculate its values with a quantum machine learning approach, the so-called supersymmetric support Dirac machine. The related supercurrent is generated from th…
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Construction and classification of novel BPS Wilson loops in quiver Chern–Simons-matter theories Open
In this paper we construct and classify novel Drukker-Trancanelli (DT) type\nBPS Wilson loops along infinite straight lines and circles in $\\mathcal N=2,3$\nquiver superconformal Chern-Simons-matter theories,\nAharony-Bergman-Jafferis-Mal…
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Scalar perturbations on the background of Kerr black holes in the quadratic dynamical Chern-Simons gravity Open
We study the scalar perturbation on the background of a Kerr black hole in the dynamical Chern-Simons modified gravity with a quadratic coupling between the scalar field and Chern-Simons term. In particular, the late-time tails of scalar p…
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Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity Open
We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken b…
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The existence of nontrivial solutions to Chern-Simons-Schrödinger systems Open
We show the existence of nontrivial solutions to Chern-Simons-Schrödinger systems by using the concentration compactness principle and the argument of global compactness.
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Pure Lovelock gravity and Chern-Simons theory Open
We explore the possibility of finding Pure Lovelock gravity as a particular limit of a Chern-Simons action for a specific expansion of the AdS algebra in odd dimensions. We derive this relation at the level of the action in five and seven …
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Chiral Higher Spin Gravity in (A)dS${}_4$ and secrets of Chern-Simons\n Matter Theories Open
Chiral Higher Spin Gravity with cosmological constant is constructed as a\nFree Differential Algebra, i.e. at the level of equations of motion, which is a\nsmooth deformation of its flat space cousin arXiv:2205.07794. Chiral Higher\nSpin G…
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Onset of rotating scalarized black holes in Einstein-Chern-Simons-Scalar theory Open
We perform the stability analysis of the Kerr black hole in the Einstein-Chern-Simons-Scalar theory with quadratic scalar coupling. For positive coupling parameter (α>0), we introduce the (2+1)-dimensional hyperboloidal foliation method to…
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Chern-Simons Theory on L(p,q) Lens Spaces and Localization Open
Using localization technique, we calculate the partition function and the expectation value of Wilson loop operator in Chern-Simons theory on general lens spaces L(p,q)(including S2XS1). Our results are consistent with known results.
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Global wellposedness of the equivariant Chern–Simons–Schrödinger equation Open
In this article we consider the initial value problem for the m -equivariant Chern–Simons–Schrödinger model in two spatial dimensions with coupling parameter g \in \mathbb R . This is a covariant NLS type problem that is L^2 -critical. We …
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Spontaneously scalarized black holes in dynamical Chern-Simons gravity: Dynamics and equilibrium solutions Open
In the present paper, we construct spontaneously scalarized rotating black\nhole solutions in dynamical Chern-Simons (dCS) gravity by following the scalar\nfield evolution in the decoupling limit. For the range of parameters where the\nKer…
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Chern-Simons Origin of Superstring Integrability Open
We derive the AdS_{5}×S^{5} Green-Schwarz superstring from four-dimensional Beltrami-Chern-Simons theory reduced on a manifold with singular boundary conditions. In this construction, the Lax connection and spectral parameter of the integr…
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Large N renormalization group flows in 3d $$ \mathcal{N} $$ = 1 Chern-Simons-Matter theories Open
A bstract We discuss 3 d $$ \mathcal{N} $$ = 1 supersymmetric SU( N ) and U( N ) Chern-Simons-matter theories, with N f matter superfields in the fundamental representation of SU( N ) or U( N ). In the large N ’t Hooft limit with fixed ’…