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In this paper, we present details of the dual fermion (DF) method to study the non-local correction to single site DMFT. The DMFT two-particle Green's function is calculated using continuous time quantum monte carlo (CT-QMC) method. The…

Strongly Correlated Electrons · Physics 2013-05-29 Gang Li , Hunpyo Lee , Hartmut Monien

We extend recent results on semi-classical conformal blocks in 2d CFT and their relation to 3D gravity via the AdS/CFT correspondence. We consider four-point functions with two heavy and two light external operators, along with the exchange…

High Energy Physics - Theory · Physics 2015-04-27 Eliot Hijano , Per Kraus , River Snively

An account is given of the structure and representations of chiral bosonic meromorphic conformal field theories (CFT's), and, in particular, the conditions under which such a CFT may be extended by a representation to form a new theory.…

High Energy Physics - Theory · Physics 2010-11-15 L. Dolan , P. Goddard , P. Montague

Higher genus modular invariance of two-dimensional conformal field theories (CFTs) is a largely unexplored area. In this paper, we derive explicit expressions for the higher genus partition functions of a specific class of CFTs: code CFTs,…

High Energy Physics - Theory · Physics 2022-06-08 Johan Henriksson , Ashish Kakkar , Brian McPeak

We have studied the compact phase conformations of semi-flexible polymer chains confined in two dimensional nonhomogeneous media, modelled by fractals that belong to the family of modified rectangular (MR) lattices. Members of the MR family…

Statistical Mechanics · Physics 2019-05-22 D Marčetić , S Elezović-Hadžić , N Adžić , I Živić

This thesis aims to explore the structure of CFTs with global internal symmetries and beyond via the Large-Charge Expansion (LCE), a semi-classical expansion applicable for states with large global quantum numbers. In the first part of this…

High Energy Physics - Theory · Physics 2023-11-22 Rafael Moser

In this paper, we introduce a ``CFT factory'' : a novel algorithm of methodically generating 2D lattice models that would flow to 2D conformal fixed points in the infrared. These 2D models are realised by giving critical boundary conditions…

Strongly Correlated Electrons · Physics 2025-06-25 Ling-Yan Hung , Kaixin Ji , Ce Shen , Yidun Wan , Yu Zhao

We demonstrate that the fidelity between a pure state trivial insulator and the mixed state density matrix of a Chern insulator under decoherence can be mapped to a variety of two-dimensional conformal field theories (CFT); more…

Strongly Correlated Electrons · Physics 2024-01-25 Kaixiang Su , Nayan Myerson-Jain , Cenke Xu

This article present the double-periodical lattice made of infinite elastic fibers that withstand bending and tension. The model describes the elastic properties of flat periodic structure. With this model the behavior of a two-dimensional…

Soft Condensed Matter · Physics 2016-12-05 V. Kobelev

We study the finite-size corrections of the dimer model on $\infty \times N$ square lattice with two different boundary conditions: free and periodic. We find that the finite-size corrections depend in a crucial way on the parity of $N$,…

Statistical Mechanics · Physics 2008-04-24 Nickolay Sh. Izmailian , Vyatcheslav B. Priezzhev , Philippe Ruelle

A good understanding of conformal field theory (CFT) at c=0 is vital to the physics of disordered systems, as well as geometrical problems such as polymers and percolation. Steady progress has shown that these CFTs should be logarithmic,…

Mathematical Physics · Physics 2014-11-20 Jerome Dubail , Jesper Lykke Jacobsen , Hubert Saleur

We construct local generalizations of 3-state Potts models with exotic critical points. We analytically show that these are described by non-diagonal modular invariant partition functions of products of $Z_3$ parafermion or $u(1)_6$…

Strongly Correlated Electrons · Physics 2021-06-16 Ville Lahtinen , Teresia Mansson , Eddy Ardonne

Two-dimensional mixtures of dipolar colloidal particles with different dipole moments exhibit extremely rich self-assembly behaviour and are relevant to a wide range of experimental systems, including charged and super-paramagnetic colloids…

Soft Condensed Matter · Physics 2019-04-16 W. R. C. Somerville , J. L. Stokes , A. M. Adawi , T. S. Horozov , A. J. Archer , D. M. A. Buzza

We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general and without assuming any symmetry for the models, which we…

High Energy Physics - Theory · Physics 2019-05-01 Alessandro Codello , Mahmoud Safari , Gian Paolo Vacca , Omar Zanusso

We present a systematic lattice calculation of the $D_s \to \phi \ell \nu_\ell$ semileptonic decay using (2+1)-flavor Wilson-clover fermion configurations generated by the CLQCD collaboration. Seven gauge ensembles with different lattice…

High Energy Physics - Lattice · Physics 2025-10-17 Gaofeng Fan , Yu Meng , Chuan Liu , Zhaofeng Liu , Tinghong Shen , Ting-Xiao Wang , Ke-Long Zhang , Lei Zhang

We consider the Fradkin-Shenker ${\mathbb Z}_2$ gauge-Higgs lattice model in 2+1 dimensions, i.e. the toric code deformed by an in-plane magnetic field. Its phase diagram contains a multicritical CFT with gapless, mutually non-local…

Strongly Correlated Electrons · Physics 2026-03-02 Thomas T. Dumitrescu , Pierluigi Niro , Ryan Thorngren

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 behavior of the finite-temperature C-function, defined by Neto and Fradkin [Nucl. Phys. B {\bf 400}, 525 (1993)], is analyzed within a d -dimensional exactly solvable lattice model, recently proposed by Vojta [Phys. Rev. B {\bf 53}, 710…

Statistical Mechanics · Physics 2008-11-26 Daniel M. Danchev , Nicholay S. Tonchev

We study half-BPS line defects in $\mathcal{N}=2$ superconformal theories using the bootstrap approach. We concentrate on local excitations constrained to the defect, which means the system is a $1d$ defect CFT with $\mathfrak{osp}(4^*|2)$…

High Energy Physics - Theory · Physics 2020-04-22 Aleix Gimenez-Grau , Pedro Liendo

In this paper we derive the finite size corrections to the energy eigenvalues of the energy for 2D dimers on a square lattice. These finite size corrections, as in the case of Critical Dense Polymers, are proportional to the eigenvalues of…

Mathematical Physics · Physics 2012-08-13 Alessandro Nigro