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The gauge formulation of Einstein gravity in AdS$_3$ background leads to a boundary theory that breaks modular symmetry and loses the covariant form. We examine the Weyl anomaly for the cylinder and torus manifolds. The divergent term is…

High Energy Physics - Theory · Physics 2024-07-04 Xing Huang , Chen-Te Ma

In this paper, we present some new results on non-Riemannian geometry, more specifically, asymmetric connections and Weyl's geometry. For asymmetric connections, we show that a projective change in the symmetric part generates a vector…

General Relativity and Quantum Cosmology · Physics 2018-04-03 A. C. V. V. de Siqueira

The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…

We generalize the concept of three-dimensional topological Weyl semimetal to a class of five dimensional (5D) gapless solids, where Weyl points are generalized to Weyl surfaces which are two-dimensional closed manifolds in the momentum…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Biao Lian , Shou-Cheng Zhang

Negative magnetoresistance is one of the manifestations of the chiral anomaly in Weyl semimetals. The magneto-optical conductivity also shows transitions between Landau levels that are not spaced as in an ordinary electron gas. How are such…

Strongly Correlated Electrons · Physics 2020-08-05 S. Acheche , R. Nourafkan , J. Padayasi , N. Martin , A. -M. S. Tremblay

The thermal expansion of the heavy fermion compound CeRh2Si2 has been measured under pressure as a function of temperature using strain gages. A large anomaly associated to the Neel temperature has been detected even above the suspected…

Strongly Correlated Electrons · Physics 2009-11-13 A. Villaume , D. Aoki , Y. Haga , G. Knebel , R. Boursier , J. Flouquet

Based on first-principles calculations and effective model analysis, we propose that the noncentrosymmetric superconductor YCoC$_2$ in normal state is a topological semimetal. In the absence of spin-orbit coupling (SOC), it can host two…

Materials Science · Physics 2019-11-07 Yuanfeng Xu , Yueqiang Gu , Tiantian Zhang , Chen Fang , Zhong Fang , Xianlei Sheng , Hongming Weng

Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band…

Strongly Correlated Electrons · Physics 2020-03-09 Chong Wang , L. Gioia , A. A. Burkov

The discovery of nonmagnetic Weyl semimetals (WSMs) in TaAs compounds has triggered lots of efforts in finding its magnetic counterpart. While the direct observation of the Weyl nodes and Fermi arcs in a magnetic candidate through…

Superconductivity · Physics 2020-02-26 Run Yang , Tan Zhang , Liqin Zhou , Yaomin Dai , Zhiyu Liao , Hongming Weng , Xianggang Qiu

Owing to the chirality of Weyl nodes characterized by the first Chern number, a Weyl system supports one-way chiral zero modes under a magnetic field, which underlies the celebrated chiral anomaly. As a generalization of Weyl nodes from…

Mesoscale and Nanoscale Physics · Physics 2023-06-28 Shaojie Ma , Hongwei Jia , Yangang Bi , Shangqiang Ning , Fuxin Guan , Hongchao Liu , Chenjie Wang , Shuang Zhang

Recently it is found that Weyl anomaly leads to new anomalous currents in an external electromagnetic field in the curved spacetime. For simplicity, the initial works mainly focus on weak gravitational fields and the anomalous current is…

High Energy Physics - Theory · Physics 2019-08-20 Jiang-Jin Zheng , Dongqi Li , Yu-Qian Zeng , Rong-Xin Miao

The chiral anomaly is the predicted break down of chiral symmetry in a Weyl semimetal with monopoles of opposite chirality when an electric field parallel to a magnetic field is applied. It occurs because of charge pumping from a positive…

Materials Science · Physics 2021-06-09 Dung Vu , Wenjuan Zhang , Cüneyt Şahin , Michael E. Flatté , Nandini Trivedi , Joseph P. Heremans

Topological metals and semimetals (TMs) have recently drawn significant interest. These materials give rise to condensed matter realizations of many important concepts in high-energy physics, leading to wide-ranging protected properties in…

The electronic and superconducting properties associated with the topologically non-trivial bands in Weyl semimetals have recently attracted much attention. We report the microscopic properties of the type-I Weyl semimetal TaAs measured by…

Strongly Correlated Electrons · Physics 2020-06-18 C. G. Wang , Yoshiaki Honjo , L. X. Zhao , G. F. Chen , K. Matano , R. Zhou , Guo-qing Zheng

A class of globally scale-invariant scalar-tensor theories have been proposed to be invariant under a larger class of transformations that take the form of local Weyl transformations supplemented by a restriction that the conformal factor…

High Energy Physics - Theory · Physics 2024-12-16 Dražen Glavan , Ruggero Noris , Tom Zlosnik

The discovery of Weyl fermions in transition metal monoarsenides/phosphides without inversion symmetry represents an exceptional breakthrough in modern condensed matter physics. However, exploring the inherent nature of these quasiparticles…

Our goal is to examine the role of anomalies in the hydrodynamic regime of field theories. We employ methods based on gauge/gravity duality to examine R-charge anomalies in the hydrodynamic regime of stronly t'Hooft coupled, large N, N = 4…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. M. Newman

The finite form of the $N=2$ super-Weyl transformations in the chiral and twisted-chiral irreducible formulations of the two-dimensional $N=2$ superfield supergravity are found in $N=2$ superspace. The super-Weyl anomaly of the $N=2$…

High Energy Physics - Theory · Physics 2010-04-06 Sergei V. Ketov , Sven-Olaf Moch

We derive explicit anomaly-index formulas for four-dimensional Weyl fermions charged under the finite symmetries $\mathrm{Spin}\times\mathbb Z_n$ and $\mathrm{Spin}\times_{\mathbb Z_2^{\mathrm F}}\mathbb Z_{2m}^{\mathrm F}$. The strategy is…

High Energy Physics - Theory · Physics 2026-05-29 Zheyan Wan

We present a systematic approach to supersymmetric holographic renormalization for a generic 5D $\mathcal{N}=2$ gauged supergravity theory with matter multiplets, including its fermionic sector, with all gauge fields consistently set to…

High Energy Physics - Theory · Physics 2018-01-17 Ok Song An