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We investigate a sequence of quadratic topological terms of the Chern-Simons type in different spacetime dimensions, related by dimensional compactification and sharing the properties of topological mass generation and statistical…

高能物理 - 理论 · 物理学 2009-11-07 J. Barcelos-Neto , E. C. Marino

We investigate the high-energy behavior of the scattering amplitudes in the extra dimensional gauge theory where the gauge symmetry is broken by the boundary condition. We study, in particular, the 5-dimensional SU(5) grand unified theory…

高能物理 - 理论 · 物理学 2016-09-06 Y. Abe , N. Haba , K. Hayakawa , Y. Matsumoto , M. Matsunaga , K. Miyachi

We compute the parity violating three point amplitudes with one scalar leg in higher spin gravity and compare results with those of Chern-Simons matter theories. The three-point correlators of the free boson, free fermion, critical vector…

高能物理 - 理论 · 物理学 2017-09-13 Ergin Sezgin , Evgeny D. Skvortsov , Yaodong Zhu

We study three-dimensional superconformal field theories on wrapped M5-branes. Applying the gauge/gravity duality and the recently proposed 3d-3d relation, we deduce quantitative predictions for the perturbative free energy of a…

高能物理 - 理论 · 物理学 2015-09-01 Dongmin Gang , Nakwoo Kim , Sangmin Lee

Chern-Simons (CS) invariant is a fundamental topological invariant describing the topological invariance of 3D space based on the Chern-Simons field theory. To date, direct measurement of the CS invariant in a physical system remains…

量子气体 · 物理学 2025-09-09 Chang-Rui Yi , Jinlong Yu , Huan Yuan , Xin Chen , Jia-Yu Guo , Jinyi Zhang , Shuai Chen , Jian-Wei Pan

In this paper, we consider spin-3 Chern-Simons-like theories of gravity as extended theories of spin-3 gravity in (2+1)- dimension. In order to determine the number of local degrees of freedom we present the Hamiltonian formulation of these…

高能物理 - 理论 · 物理学 2016-03-10 M. R. Setare , H. Adami

In this paper, we calculate the topological free energy for a number of ${\mathcal N} \geq 2$ Yang-Mills-Chern-Simons-matter theories at large $N$ and fixed Chern-Simons levels. The topological free energy is defined as the logarithm of the…

高能物理 - 理论 · 物理学 2018-09-13 Seyed Morteza Hosseini , Noppadol Mekareeya

This is the 10th article in the collection of reviews "Exact results on N=2 supersymmetric gauge theories", ed. J.Teschner. It reviews correspondences between three-dimensional gauge theories and complex Chern-Simons theory on suitable…

高能物理 - 理论 · 物理学 2014-12-23 Tudor Dimofte

In this thesis, we studied the Topologically Massive Gravity (TMG) in two perspectives. Firstly, by using real scalar and abelian gauge fields, we built the Weyl-invariant extension of TMG which unifies cosmological TMG and Topologically…

高能物理 - 理论 · 物理学 2017-10-19 Ercan Kilicarslan

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal…

高能物理 - 理论 · 物理学 2019-10-15 Moshe Moshe , Jean Zinn-Justin

We find the canonical and Belinfante energy-momentum tensors and their nonzero traces. We note that the dilatation symmetry is broken and the divergence of the dilatation current is proportional to the topological mass of the gauge field.…

数学物理 · 物理学 2011-12-30 S. I. Kruglov

Localization methods reduce the path integrals in {\cal N} >= 2 supersymmetric Chern-Simons gauge theories on S^3 to multi-matrix integrals. A recent evaluation of such a two-matrix integral for the {\cal N}=6 superconformal U(N) x U(N)…

高能物理 - 理论 · 物理学 2015-03-17 Christopher P. Herzog , Igor R. Klebanov , Silviu S. Pufu , Tiberiu Tesileanu

Using the superfield formalism, we study the dynamical breaking of gauge symmetry in the N=1 three-dimensional supersymmetric Chern-Simons model, coupled to a complex scalar superfield with a quartic self-coupling. This is an analogue of…

高能物理 - 理论 · 物理学 2014-11-20 A. F. Ferrari , E. A. Gallegos , M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

The self-duality equations of Chern-Simons Higgs theory in a background curved spacetime are studied by making use of the U(1) gauge potential decomposition theory and $\phi$-mapping method. The special form of the gauge potential…

高能物理 - 理论 · 物理学 2007-05-23 Yongqiang Wang , Yuxiao Liu , Zhenhua Zhao , Yishi Duan

The mean field like gauge invariant variational method formulated recently, is applied to a topologically massive QED in 3 dimensions. We find that the theory has a phase transition in the Chern Simons coefficient $n$. The phase transition…

高能物理 - 理论 · 物理学 2009-10-28 Ian I. Kogan , Alex Kovner

In temporal gauge A_{0}=0 the 3d Chern-Simons theory acquires quadratic action and an ultralocal propagator. This directly implies a 2d R-matrix representation for the correlators of Wilson lines (knot invariants), where only the crossing…

高能物理 - 理论 · 物理学 2015-05-14 Alexei Morozov , Andrey Smirnov

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

高能物理 - 理论 · 物理学 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

We provide a contour integral formula for the exact partition function of ${\cal N}=2$ supersymmetric $U(N)$ gauge theories on compact toric four-manifolds by means of supersymmetric localisation. We perform the explicit evaluation of the…

高能物理 - 理论 · 物理学 2016-08-03 Mikhail Bershtein , Giulio Bonelli , Massimiliano Ronzani , Alessandro Tanzini

Instantons, monopoles and vortices have become paradigms of topological structures in field theory and quantum mechanics, with important applications in particle physics, astrophysics, condensed matter physics and mathematics. We have…

高能物理 - 理论 · 物理学 2014-08-29 Sarmistha Kumar

As we re-examine the known holographic N=1 supersymmetric renormalization group flow in four dimensions, we describe the mass-deformed Bagger-Lambert theory or equivalently the mass-deformed U(2) x U(2) Chern-Simons gauge theory with level…

高能物理 - 理论 · 物理学 2011-03-02 Changhyun Ahn