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We discuss two-dimensional conformal field theories (CFTs) which are invariant under gauging a non-invertible global symmetry. At every point on the orbifold branch of $c=1$ CFTs, it is known that the theory is self-dual under gauging a…

High Energy Physics - Theory · Physics 2023-12-04 Yichul Choi , Da-Chuan Lu , Zhengdi Sun

The Checkerboard conformal field theory is an interesting representative of a large class of non-unitary, logarithmic Fishnet CFTs (FCFT) in arbitrary dimension which have been intensively studied in the last years. Its planar Feynman…

High Energy Physics - Theory · Physics 2025-01-07 Mikhail Alfimov , Gwenaël Ferrando , Vladimir Kazakov , Enrico Olivucci

We compute genus two partition functions in two dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi entropy of two intervals. We compute this for generalized free theories and for…

High Energy Physics - Theory · Physics 2017-10-25 Alexandre Belin , Christoph A. Keller , Ida G. Zadeh

Weyl fermions, first proposed for describing massless chiral Dirac fermions in particle physics, have not been observed yet in experiments. Recently, much effort has been devoted to explore Weyl fermions around band touching points of…

Quantum Gases · Physics 2014-07-08 Yong Xu , Rui-Lin Chu , Chuanwei Zhang

We find classes of driven conformal field theories (CFT) in d + 1 dimensions with d > 1, whose quench and Floquet dynamics can be computed exactly. The setup is suitable for studying periodic drives, consisting of square pulse protocols for…

High Energy Physics - Theory · Physics 2024-09-23 Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta

We study Schr\"odinger invariant field theories (nonrelativistic conformal field theories) in the large charge (particle number) sector. We do so by constructing the effective field theory (EFT) for a Goldstone boson of the associated…

High Energy Physics - Theory · Physics 2019-04-12 S. M. Kravec , Sridip Pal

Invertible fermionic topological (IFT) phases are gapped phases of matter with nondegenerate ground states on any closed spatial manifold. When open boundary conditions are imposed, nontrivial IFT phases support gapless boundary degrees of…

Strongly Correlated Electrons · Physics 2022-07-20 Ömer M. Aksoy , Christopher Mudry

The Weyl semimetal is a new quantum state of topological semimetal, of which topological surface states -- the Fermi arcs exist. In this paper, the Fermi arcs in Weyl semimetals are classified into two classes -- class-1 and class-2. Based…

Materials Science · Physics 2018-03-14 Xiao-Ming Zhao , Xiao Kong , Cui-Xian Guo , Ya-Jie Wu , Su-Peng Kou

Weyl nodes are topological objects in three-dimensional metals. Their topological property can be revealed by studying the high-field transport properties of a Weyl semimetal. While the energy of the lowest Landau band (LLB) of a…

The phenomenon of unpaired Weyl fermions appearing on the sole 2n-dimensional boundary of a (2n+1)-dimensional manifold with massive Dirac fermions was recently analyzed in a companion paper by one of the authors. In this Letter we show…

High Energy Physics - Lattice · Physics 2024-03-15 David B. Kaplan , Srimoyee Sen

Distinct to type-I Weyl semimetals (WSMs) that host quasiparticles described by the Weyl equation, the energy dispersion of quasiparticles in type-II WSMs violates Lorentz invariance and the Weyl cones in the momentum space are tilted.…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 M. -Y. Yao , N. Xu , Q. Wu , G. Autès , N. Kumar , V. N. Strocov , N. C. Plumb , M. Radovic , O. V. Yazyev , C. Felser , J. Mesot , M. Shi

Anomalies of N = (4,4) superconformal field theories coupled to a conformal supergravity background in two dimensions are computed by using the AdS/CFT correspondence. We find that Weyl, axial gauge and super Weyl transformations are…

High Energy Physics - Theory · Physics 2009-10-31 M. Nishimura , Y. Tanii

We study the conformal window of gauge theories containing fermionic matter fields, where the gauge group is any of the exceptional groups with the fermions transforming according to the fundamental and adjoint representations and the…

High Energy Physics - Phenomenology · Physics 2012-11-07 Matin Mojaza , Claudio Pica , Thomas A. Ryttov , Francesco Sannino

Two dimensional conformal field theories with central charge one are discussed. After a short review of theories based on one free boson, a different CFT is described, which is obtained as a limit of minimal models.

High Energy Physics - Theory · Physics 2015-06-26 I. Runkel , G. M. T. Watts

We establish the emergence of a conformal field theory (CFT) in a (1+1)-dimensional hybrid quantum circuit right at the measurement-driven entanglement transition by revealing space-time conformal covariance of entanglement entropies and…

Quantum Physics · Physics 2021-09-15 Yaodong Li , Xiao Chen , Andreas W. W. Ludwig , Matthew P. A. Fisher

Chiral crystals are materials whose lattice structure has a well-defined handedness due to the lack of inversion, mirror, or other roto-inversion symmetries. These crystals represent a broad, important class of quantum materials; their…

We introduce regular series expansion for weakly- and moderately-correlated fermionic systems, based on Fluctuating Local Field approach. The method relies on the explicit account of leading fluctuating mode(s) and is therefore suitable for…

Strongly Correlated Electrons · Physics 2024-12-25 Ya. S. Lyakhova , S. D. Semenov , A. I. Lichtenstein , A. N. Rubtsov

We consider topological defect lines (TDLs) in two-dimensional fermionic conformal field theories (CFTs). Besides inheriting all the properties of TDLs in bosonic CFTs, TDLs in fermionic CFTs could host fermionic defect operators at their…

High Energy Physics - Theory · Physics 2023-11-29 Chi-Ming Chang , Jin Chen , Fengjun Xu

Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The advantage of this approach is that it imposes…

High Energy Physics - Theory · Physics 2017-05-18 Christoph A. Keller , Gregoire Mathys , Ida G. Zadeh

Modular invariance imposes rigid constrains on the partition functions of two-dimensional conformal field theories. Many fundamental results follow strictly from modular invariance, giving rise to the numerical modular bootstrap program.…

High Energy Physics - Theory · Physics 2021-07-06 Anatoly Dymarsky , Alfred Shapere
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