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Analysing a 3+1 dimensional model with four-Fermi interactions, we show that topological $\BF$ terms (both abelian and non-abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a…

High Energy Physics - Theory · Physics 2015-06-26 M. Leblanc , R. MacKenzie , P. K. Panigrahi , R. Ray

Symmetric mass generation is a novel mechanism to give gapless fermions a mass gap by non-perturbative interactions without generating any fermion bilinear condensation. The previous studies of symmetric mass generation have been limited to…

Strongly Correlated Electrons · Physics 2023-05-23 Da-Chuan Lu , Meng Zeng , Juven Wang , Yi-Zhuang You

Dynamical fermion mass generation is studied in the three-dimensional Thirring model reformulated as a gauge theory by introducing hidden local symmetry. The analysis by use of Schwinger-Dyson equation is shown to exhibit a critical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Taichi Itoh , Yoonbai Kim , Masaki Sugiura , Koichi Yamawaki

The chiral hinge modes are the key feature of a second order topological insulator in three dimensions. Here we propose a quadrupole index in combination of a slab Chern number in the bulk to characterize the flowing pattern of chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Bo Fu , Zi-Ang Hu , Shun-Qing Shen

Two closely related topological phenomena are studied at finite density and temperature. These are chiral anomaly and Chern--Simons term. It occurs that the chiral anomaly doesn't depend on density and temperature. Chern-Simons term…

High Energy Physics - Theory · Physics 2007-05-23 A. N. Sissakian , O. Yu. Shevchenko , S. B. Solganik

The vector type of interaction of the Thirring-Wess model was replaced by the chiral type and a new model was presented which was termed as chiral Thirring-Wess model in \cite{THAR}. The model was studied there with a Faddeevian class of…

High Energy Physics - Theory · Physics 2016-09-06 Anisur Rahaman

Exploring the synergy between topological physics and nonlinear dynamics unveils profound insights into emergent states of matter. Inspired by recent experimental demonstrations of topological frequency combs in photonics, we theoretically…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 Zhixiong Li , Xuejuan Liu , Zhejunyu Jin , Guanghua Guo , Xingen Zheng , Peng Yan

We describe in detail a counterexample to the topological classification of free fermion systems. We deal with a one dimensional chain of Majorana fermions with an unusual T symmetry. The topological invariant for the free fermion…

Strongly Correlated Electrons · Physics 2013-05-29 Lukasz Fidkowski , Alexei Kitaev

We show that Maxwell theory with a codimension-$1$ Chern-Simons interface supports chiral electromagnetic surface waves on the interface, even when the bulk theory on both sides is conventional vacuum electrodynamics in infinite space.…

High Energy Physics - Theory · Physics 2026-05-29 Nemanja Kaloper

In this work it is studied the spontaneous breaking of superconformal and gauge invariances in the Abelian N=1,2 three-dimensional supersymmetric Chern-Simons-matter theories in a large N limit. It is computed the K\"ahlerian effective…

High Energy Physics - Theory · Physics 2014-11-21 A. C. Lehum , A. J. da Silva

We consider two-dimensional continuum fluids with odd viscosity under a chiral body force. The chiral body force makes the low-energy excitation spectrum of the fluids gapped, and the odd viscosity allows us to introduce the first Chern…

Soft Condensed Matter · Physics 2025-08-28 Keisuke Fujii , Yuto Ashida

In cases of both abelian and nonabelian gauge groups, we study the Higgs mechanism in the topologically massive gauge theories in an arbitrary space-time dimension. We show that when the conventional Higgs potential coexists with a…

High Energy Physics - Theory · Physics 2011-07-19 Ichiro Oda

We study and discuss some of the consequences of the inclusion of torsion in 3D Einstein-Chern-Simons gravity. Torsion may trigger the excitation of non-physical modes in the spectrum. Higher-derivative terms are then added up and…

High Energy Physics - Theory · Physics 2009-10-31 J. L. Boldo , L. M. de Moraes , J. A. Helayel-Neto

We investigate the emergence of a topological magnon phase in a two-dimensional kagome ferromagnet with Dzyaloshinskii-Moriya interaction (DMI) and scalar spin chirality. By incorporating a chiral interaction term proportional to the scalar…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Seif Alwan , Jonas Fransson

Nonlinear transport phenomena induced by the chiral anomaly are explored within a 4D field theory defined holographically as $U(1)_V\times U(1)_A$ Maxwell-Chern-Simons theory in Schwarzschild-$AdS_5$. First, in presence of external…

High Energy Physics - Theory · Physics 2019-03-19 Yanyan Bu , Tuna Demircik , Michael Lublinsky

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…

High Energy Physics - Theory · Physics 2014-11-20 A. F. Ferrari , E. A. Gallegos , M. Gomes , A. C. Lehum , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

Three dimensional Yang-Mills gauge theories in the presence of the Chern-Simons action are seen as being generated by the pure topological Chern-Simons term through nonlinear covariant redefinitions of the gauge field

High Energy Physics - Theory · Physics 2009-10-31 V. E. R. Lemes , C. Linhares de Jesus , S. P. Sorella , L. C. Q. Vilar , O. S. Ventura

We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

High Energy Physics - Theory · Physics 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

A Fermion in 2+1 dimensions, with a mass function which depends on one spatial coordinate and passes through a zero ( a domain wall mass), is considered. In this model, originally proposed by Callan and Harvey, the gauge variation of the…

High Energy Physics - Theory · Physics 2009-10-22 Shailesh Chandrasekharan

Mass-gap calculations in three-dimensional gauge theories are discussed. Also we present a Chern--Simons-like mass-generating mechanism which preserves parity and is realized non-perturbatively.

High Energy Physics - Theory · Physics 2014-11-18 R. Jackiw , S-Y. Pi