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The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [FRSI,FRSII,FRSIV] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary…

High Energy Physics - Theory · Physics 2008-11-26 Jens Fjelstad , Jurgen Fuchs , Ingo Runkel , Christoph Schweigert

We study entanglement entropy of boundary states in a free bosonic conformal field theory. A boundary state can be thought of as composed of a particular combination of left and right-moving modes of the two-dimensional conformal field…

High Energy Physics - Theory · Physics 2015-06-22 Leopoldo A. Pando Zayas , Norma Quiroz

We establish a relation between the boundary and the topological entropies for the conformal minimal models in some of the simplest models of the unitary A-A series. We show that in these models the boundary entropy is a difference of…

High Energy Physics - Theory · Physics 2021-09-22 Hugo García-Compeán , Norma Quiroz

Multi-mode entangled coherent states are important resources for linear optics quantum computation and teleportation. Here we introduce the generalized balanced N-mode coherent states which recast in the multi-qudit case. The necessary and…

Quantum Physics · Physics 2015-09-30 G. Najarbashi , S. Mirzaei

We study topological defect lines in two-dimensional rational conformal field theory. Continuous variation of the location of such a defect does not change the value of a correlator. Defects separating different phases of local CFTs with…

High Energy Physics - Theory · Physics 2008-11-26 Jürg Fröhlich , Jürgen Fuchs , Ingo Runkel , Christoph Schweigert

The encoding of all possible sets of Bethe equations for a spin chain with SU(N|M) symmetry into a QQ-system calls for an expression of spin chain overlaps entirely in terms of Q-functions. We take a significant step towards deriving such a…

High Energy Physics - Theory · Physics 2023-02-22 Charlotte Kristjansen , Dennis Müller , Konstantin Zarembo

In this paper, we consider the R\'enyi entanglement asymmetry of excited states in the 1+1 dimensional free compact boson conformal field theory (CFT) at equilibrium. We obtain a universal CFT expression written by correlation functions for…

High Energy Physics - Theory · Physics 2023-12-19 Miao Chen , Hui-Huang Chen

Starting with the canonical coherent states, we demonstrate that all the so-called nonlinear coherent states, used in the physical literature, as well as large classes of other generalized coherent states, can be obtained by changes of…

Quantum Physics · Physics 2009-11-10 S. Twareque Ali , R. Roknizadeh , M. K. Tavassoly

We discuss conformal field theories (CFTs) in rectangular geometries, and develop a formalism that involves a conformal boundary state for the 1+1d open system. We focus on the case of homogeneous boundary conditions (no insertion of a…

Mathematical Physics · Physics 2012-05-17 Roberto Bondesan , Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We analyze the implication of tristability on localization phenomena in one-dimensional extended dissipative systems. In this context, localized states appear due to the interaction and locking of front waves connecting different extended…

Pattern Formation and Solitons · Physics 2024-03-13 Edem Kossi Akakpo , Marc Haelterman , Francois Leo , Pedro Parra-Rivas

We show that generic gapped quantum many-body states which respect an anomalous finite higher-form symmetry have an exponentially small overlap with any short-range entangled (SRE) state. Hence, anomalies of higher-form symmetries enforce…

Quantum Physics · Physics 2025-11-06 Po-Shen Hsin , Ryohei Kobayashi , Abhinav Prem

We study orbifolds of two-dimensional topological field theories using defects. If the TFT arises as the twist of a superconformal field theory, we recover results on the Neveu-Schwarz and Ramond sectors of the orbifold theory as well as…

High Energy Physics - Theory · Physics 2014-09-16 Ilka Brunner , Nils Carqueville , Daniel Plencner

Causality places nontrivial constraints on QFT in Lorentzian signature, for example fixing the signs of certain terms in the low energy Lagrangian. In d-dimensional conformal field theory, we show how such constraints are encoded in…

High Energy Physics - Theory · Physics 2016-08-05 Thomas Hartman , Sachin Jain , Sandipan Kundu

The most basic structure of chiral conformal field theory (CFT) is the Verlinde ring. Freed-Hopkins-Teleman have expressed the Verlinde ring for the CFT's associated to loop groups, as twisted equivariant K-theory. We build on their work to…

K-Theory and Homology · Mathematics 2013-03-18 David E. Evans , Terry Gannon

Topological defect lines (TDLs) in two-dimensional conformal field theories (CFTs) are standard examples of generalized symmetries in quantum field theory. Integrable lattice incarnations of these TDLs, such as those provided by…

High Energy Physics - Theory · Physics 2024-08-16 Thiago Silva Tavares , Madhav Sinha , Linnea Grans-Samuelsson , Ananda Roy , Hubert Saleur

The interpretation of D-branes in terms of open strings has lead to much interest in boundary conditions of two-dimensional conformal field theories (CFTs). These studies have deepened our understanding of CFT and allowed us to develop new…

High Energy Physics - Theory · Physics 2009-11-10 J"urgen Fuchs , Ingo Runkel , Christoph Schweigert

We study the crossing symmetry of the ensemble of large-$c$ 2D CFTs defined through 3D gravity. A central observation is that statistical moments of OPE coefficients are not independent; rather, lower and higher moments are strongly…

High Energy Physics - Theory · Physics 2026-01-16 Diandian Wang

We consider perturbations of 2D CFTs by multiple relevant operators. The massive phases of such perturbations can be labeled by conformal boundary conditions. Cardy's variational ansatz approximates the vacuum state of the perturbed theory…

High Energy Physics - Theory · Physics 2023-09-19 Anatoly Konechny

We study the separability of permutationally symmetric quantum states. We show that for bipartite symmetric systems most of the relevant entanglement criteria coincide. However, we provide a method to generate examples of bound entangled…

Quantum Physics · Physics 2009-05-12 Geza Toth , Otfried Gühne

We consider the CFT of a free boson compactified on a circle, such that the compactification radius $R$ is an irrational multiple of $R_{selfdual}$. Apart from the standard Dirichlet and Neumann boundary states, Friedan suggested [1] that…

High Energy Physics - Theory · Physics 2010-11-19 Romuald A. Janik