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CFT Correlators and Mapping Class Group Averages.
Commun Math Phys
October 2024
Fachbereich Mathematik, Universität Hamburg, Bundesstraße 55, Hamburg, 20146 Germany.
Mapping class group averages appear in the study of 3D gravity partition functions. In this paper, we work with 3D topological field theories to establish a bulk-boundary correspondence between such averages and correlators of 2D rational CFTs whose chiral mapping class group representations are irreducible and satisfy a finiteness property. We show that Ising-type modular fusion categories satisfy these properties on surfaces with or without field insertions, extending results in [1], and we comment on the absence of invertible global symmetries in the examples we consider.
View Article and Find Full Text PDFThe Interplay between Tunneling and Parity Violation in Chiral Molecules.
Entropy (Basel)
May 2024
Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain.
In this review, the concepts of quantum tunneling and parity violation are introduced in the context of chiral molecules. A particle moving in a double well potential provides a good model to study the behavior of chiral molecules, where the left well and right well represent the and enantiomers, respectively. If the model considers the quantum behavior of matter, the concept of quantum tunneling emerges, giving place to stereomutation dynamics between left- and right-handed chiral molecules.
View Article and Find Full Text PDFA new twist in ferroelectric liquids.
Science
June 2024
Dipartimento SIMAU, Università Politecnica delle Marche, via Brecce Bianche, Ancona, Italy.
Spontaneous chirality emerges in a highly polar liquid of achiral molecules.
View Article and Find Full Text PDFThe 'hot' chiral optical effects.
Proc Natl Acad Sci U S A
May 2024
Department of Electrical and Computer Engineering, University of Illinois Urbana-Champaign, Urbana, IL 61801.
Weyl Fermions on a Finite Lattice.
Phys Rev Lett
April 2024
Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA.
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 D. B. Kaplan [preceding Letter, Chiral gauge theory at the boundary between topological phases, Phys.
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