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Building upon previous works, it is shown that two minimal left ideals of the complex Clifford algebra $\mathbb{C}\ell(6)$ and two minimal right ideals of $\mathbb{C}\ell(4)$ transform as one generation of leptons and quarks under the gauge…

General Physics · Physics 2020-07-15 Niels G. Gresnigt

We discuss the structure of 2D conformal field theories (CFT) at central charge c=0 describing critical disordered systems, polymers and percolation. We construct a novel extension of the c=0 Virasoro algebra, characterized by a number b…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. Gurarie , A. W. W. Ludwig

We present a comprehensive study of the effective Conformal Field Theory (CFT) describing the low energy excitations of a gas of spinless interacting fermions on a circle in the gapless regime (Luttinger liquid). Functional techniques and…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 P. Degiovanni , Ch. Chaubet , R. Melin

The model of dense lattice polymers is studied as an example of non-unitary Conformal Field Theory (CFT) with $c=-2$. ``Antisymmetric'' correlation functions of the model are proved to be given by the generalized Kirchhoff theorem.…

Statistical Mechanics · Physics 2008-11-26 E. V. Ivashkevich

Recent work explores the candidate phases of the 4d adjoint quantum chromodynamics (QCD$_4$) with an SU(2) gauge group and two massless adjoint Weyl fermions. Both Cordova-Dumitrescu and Bi-Senthil propose possible low energy 4d topological…

High Energy Physics - Theory · Physics 2019-04-26 Zheyan Wan , Juven Wang

Covariant density functional theory (CDFT) is a modern theoretical tool for the description of nuclear structure phenomena. The current investigation aims at the global assessment of the accuracy of the description of the ground state…

Nuclear Theory · Physics 2015-06-19 S. E. Agbemava , A. V. Afanasjev , D. Ray , P. Ring

We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator \Phi with large dimension \Delta_\Phi ~ O(c) at spatial infinities in the thermal state. We…

High Energy Physics - Theory · Physics 2020-01-08 Justin R. David , Timothy J. Hollowood , Surbhi Khetrapal , S. Prem Kumar

The Standard Model Effective Field Theory (SMEFT) and the Low Energy Effective Field Theory (LEFT) can be extended by adding additional spin 0, 1/2 and 1 dark matter particles which are singlets under the Standard Model (SM) gauge group. We…

High Energy Physics - Phenomenology · Physics 2022-10-13 Jason Aebischer , Wolfgang Altmannshofer , Elizabeth E. Jenkins , Aneesh V. Manohar

We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT$_1$). By adding appropriate contact terms, we bootstrap various effective field theories in AdS$_2$ and analytically compute the…

High Energy Physics - Theory · Physics 2020-08-26 Pietro Ferrero , Kausik Ghosh , Aninda Sinha , Ahmadullah Zahed

As a first step to meet the challenge to calculate the electronic structure and total energy of charged states of atoms and molecules adsorbed on ultrathin-insulating films supported by a metallic substrate using density functional theory…

Materials Science · Physics 2013-11-01 Iván Scivetti , Mats Persson

Motivated by its potential use in constraining the structure of 6D renormalization group flows, we determine the low energy dilaton-axion effective field theory of conformal and global symmetry breaking in 6D conformal field theories…

High Energy Physics - Theory · Physics 2021-03-26 Jonathan J. Heckman , Sandipan Kundu , Hao Y. Zhang

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

Light-front (LF) quantization in light-cone (LC) gauge is used to construct a unitary and simultaneously renormalizable theory of the Standard Model. The framework derived earlier for QCD is extended to the Glashow, Weinberg, and Salam…

High Energy Physics - Phenomenology · Physics 2009-09-11 Prem P. Srivastava , Stanley J. Brodsky

We study the Standard Model effective field theory ($\nu$SMEFT) extended with operators involving right-handed neutrinos, focussing on the regime where the right-handed neutrinos decay promptly on collider scales to a photon and a Standard…

High Energy Physics - Phenomenology · Physics 2021-02-03 Anke Biekötter , Mikael Chala , Michael Spannowsky

There are two major ways of constructing 4d $\mathcal{N}=2$ superconformal field theories (SCFTs): the first one is putting a 6d $(2,0)$ theory on a punctured Riemann surface (class-S theory), and the second one is putting type IIB string…

High Energy Physics - Theory · Physics 2023-05-31 Bohan Li , Dan Xie , Wenbin Yan

Conformal field theories (CFTs) with $U(m)\times U(n)$ global symmetry in $d=3$ dimensions have been studied for years due to their potential relevance to the chiral phase transition of quantum chromodynamics (QCD). In this work such CFTs…

High Energy Physics - Theory · Physics 2023-08-30 Stefanos R. Kousvos , Andreas Stergiou

We describe and implement a procedure for determining the couplings of a Relativistic Mean-Field Theory (RMFT) that is optimized for application to neutron star phenomenology. In the standard RMFT approach, the couplings are constrained by…

Nuclear Theory · Physics 2022-11-23 Mark G. Alford , Liam Brodie , Alexander Haber , Ingo Tews

Lepton-number-violating interactions occur in the Standard Model Effective Field Theory (SMEFT) at odd dimensions starting from the dimension-5 Weinberg operator. Although the operators at dimension-7 and higher are more suppressed by the…

High Energy Physics - Phenomenology · Physics 2025-10-09 Kåre Fridell , Lukáš Gráf , Julia Harz , Chandan Hati

The $d=2$ critical Ising model is described by an exactly solvable Conformal Field Theory (CFT). The deformation to $d=2+\epsilon$ is a relatively simple system at strong coupling outside of even dimensions. Using novel numerical and…

High Energy Physics - Theory · Physics 2022-05-13 Wenliang Li

Conformal field theories (CFTs) with MN and tetragonal global symmetry in $d=2+1$ dimensions are relevant for structural, antiferromagnetic and helimagnetic phase transitions in a wide class of materials. The study of these theories with…

High Energy Physics - Theory · Physics 2020-11-23 Andreas Stergiou