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The quantum Hall system is known to have two mutually dual Chern-Simons descriptions, one associated with the hydrodynamics of the electron fluid, and another associated with the statistics. Recently, Susskind has made the claim that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Eduardo Fradkin , Vishnu Jejjala , Robert G. Leigh

We present a method to implement 3-dimensional N = 1 SUSY Yang-Mills theory (a theory with two real supercharges containing gauge fields and an adjoint Majorana fermion) on the lattice, including a way to implement the Chern-Simons term…

High Energy Physics - Lattice · Physics 2008-11-26 Joshua W. Elliott , Guy D. Moore

The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via a gradient flow equation involving a positive definite…

High Energy Physics - Theory · Physics 2015-08-12 I. Jack , D. R. T. Jones , C. Poole

We study the dynamical Chern-Simons gravity as an effective quantum field theory, and discuss a broad range of its parameter space where the theory is valid. Within that validity range, we show that slowly rotating black holes acquire novel…

High Energy Physics - Theory · Physics 2022-01-12 Stephon Alexander , Gregory Gabadadze , Leah Jenks , Nicolás Yunes

Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the $N$-fermion canonical partition function on the positive real $\beta$ axis (or very close to it), even for a small number of particles.…

Statistical Mechanics · Physics 2011-11-28 R. K. Bhaduri , A. MacDonald , W. van Dijk

We investigate finite energy solutions of the Einstein--Yang-Mills--Chern-Simons system in odd spacetime dimensions, D=2n+1, with n>1. Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We study spherically symmetric solutions of an $SO(5)$ Chern-Simons--Yang-Mills-Higgs system in $3+1$ dimensions. The Chern-Simons densities are defined in terms of both Yang-Mills fields and a $5$-component isomultiplet Higgs. The…

High Energy Physics - Theory · Physics 2015-06-17 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We verify the consistency of the G\"odel-type solutions within the four-dimensional Chern-Simons modified gravity with the non-dynamical Chern-Simons coefficient, for different forms of matter including dust, fluid, scalar field and…

High Energy Physics - Theory · Physics 2016-08-23 P. J. Porfirio , J. B. Fonseca-Neto , J. R. Nascimento , A. Yu. Petrov , J. Ricardo , A. F. Santos

We explore perturbations about a Friedmann-Robertson-Walker background in Chern-Simons gravity. At large momenta one of the two circularly polarized tensor modes becomes ghostlike. We argue that nevertheless the theory does not exhibit…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Sergei Dyda , Eanna E. Flanagan , Marc Kamionkowski

Working in a Hamiltonian formulation with $A_0 = 0$ gauge and also in a path integral formulation, we show that the vacuum wave functional of four-dimensional pure Yang-Mills theory has the form of the exponential of a {\it…

High Energy Physics - Theory · Physics 2009-10-30 Miyuki Kawamura , Kayoko Maeda , Makoto Sakamoto

We investigate static, spherically symmetric solutions of an Einstein-Yang-Mills-Chern-Simons system with negative cosmological constant, for an SO(6) gauge group. For a particular value of the Chern-Simons coefficient, this model can be…

High Energy Physics - Theory · Physics 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

Geometric quantization of 2+1 dimensional pure Yang-Mills theory is studied with focusing on finite large scales. It is previously shown that (Yildirim, 2015, Int. J. Mod. Phys A, 30(7), 1550034), topologically massive Yang-Mills theory…

High Energy Physics - Theory · Physics 2018-02-13 Tuna Yildirim

We present a pure Chern-Simons formulation of families of interesting Conformal Field Theories describing edge states of non-Abelian Quantum Hall states. These theories contain two Abelian Chern-Simons fields describing the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Marina Huerta , Guillermo Zemba

This paper gives a way to renormalise certain quantum field theories on compact manifolds. Examples include Yang-Mills theory (in dimension 4 only), Chern-Simons theory and holomorphic Chern-Simons theory. The method is within the framework…

Quantum Algebra · Mathematics 2007-06-29 Kevin J. Costello

The frequency-dependent longitudinal and Hall conductivities --- $\sigma_{xx}$ and $\sigma_{xy}$ --- are dimensionless functions of $\omega/T$ in 2+1 dimensional CFTs at nonzero temperature. These functions characterize the spectrum of…

High Energy Physics - Theory · Physics 2016-08-24 Guy Gur-Ari , Sean A. Hartnoll , Raghu Mahajan

With the goal of building a concrete co-dimension one holographically dual field theory for four dimensional asymptotically flat spacetimes (4d AFS) as a limit of AdS$_4$/CFT$_3$, we begin an investigation of 3d Chern-Simons matter (CSM)…

High Energy Physics - Theory · Physics 2024-07-19 Arjun Bagchi , Arthur Lipstein , Mangesh Mandlik , Aditya Mehra

We develop the formalism that incorporates quantum anomalies in the effective field theory of non-dissipative fluids. We consider the effect of adding a Wess-Zumino-like term to the low-energy effective action to account for anomalies. In…

High Energy Physics - Theory · Physics 2011-08-04 Sergei Dubovsky , Lam Hui , Alberto Nicolis

$SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$ and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For $k \gg…

High Energy Physics - Theory · Physics 2014-11-18 John M. Cornwall

We observe that the string field theory actions for the topological sigma models describe higher or categorified Chern-Simons theories. These theories yield dynamical equations for connective structures on higher principal bundles. As a…

High Energy Physics - Theory · Physics 2017-07-27 Christian Saemann , Martin Wolf

We propose that the Chern-Simons invariant of the Ashtekar-Sen connection is the natural internal time coordinate for classical and quantum cosmology. The reasons for this are a number of interesting properties of this functional, which we…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Lee Smolin , Chopin Soo