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Discrete symmetries play a crucial role in particle physics. They appear abundantly in string model constructions. We focus here on the case of discrete $R$-symmetries which are intrinsically connected to the Lorentz group in extra…

High Energy Physics - Phenomenology · Physics 2017-05-08 Hans Peter Nilles

It can be shown in a solvable field theory model that the couplings of the composite vector bosons made of a fermion pair approach the gauge couplings in the limit of strong binding. Although this phenomenon may appear accidental and…

High Energy Physics - Phenomenology · Physics 2014-11-21 Mahiko Suzuki

The $K=4$ fractional superstring Fock space is constructed in terms of $\bZ_4$ parafermions and free bosons. The bosonization of the $\bZ_4$ parafermion theory and the generalized commutation relations satisfied by the modes of various…

High Energy Physics - Theory · Physics 2010-11-01 P. C. Argyres , E. Lyman , S. -H. H. Tye

Particle physics models where there are large hidden extra dimensions are currently on the focus of an intense activity. The main reason is that these large extra dimensions may come with a TeV scale for quantum gravity (or string theory)…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Pérez-Lorenzana

The fundamental chiral nature of the observed quarks and leptons and the emergence of the gauge group itself are most puzzling aspects of the standard model. Starting from general considerations of topological properties of gauge field…

High Energy Physics - Phenomenology · Physics 2009-10-31 Guy F. de Teramond

A mechanism to generate realistic fermion mass hierarchies based on supersymmetric gauged $U(1)_F$ symmetry in flat five-dimensional (5D) spacetime is proposed. The fifth dimension is compactified on $S^1/Z_2$ orbifold. The standard model…

High Energy Physics - Phenomenology · Physics 2021-06-25 Ketan M. Patel

The (1+1)-dimensional bosonization relations for fermionic mass terms are derived by choosing a specific gauge in an enlarged gauge-invariant theory containing both fermionic and bosonic fields. The fermionic part of the generating…

High Energy Physics - Theory · Physics 2009-10-22 P. H. Damgaard , H. B. Nielsen , R. Sollacher

We investigate the concept of superconformal symmetry in six dimensions, applied to the interacting theory of (2,0) tensor multiplets and self-dual strings. The action of a superconformal transformation on the superspace coordinates is…

High Energy Physics - Theory · Physics 2009-11-11 Par Arvidsson

Several refinements are made in a theory which starts with a Planck-scale statistical picture and ends with supersymmetry and a coupling of fundamental fermions and bosons to SO(N) gauge fields. In particular, more satisfactory treatments…

High Energy Physics - Theory · Physics 2017-08-23 Roland E. Allen

Nonstandard parafermions are built and their central charges and dimensions are calculated. We then construct new N=2 superconformal field theories by tensoring the parafermions with a free boson. We study the spectrum and modular…

High Energy Physics - Theory · Physics 2015-05-28 Andrei Babichenko , Doron Gepner

The mechanism underlying any bosonisation or fermionisation is exposed.It is shown that any local theory of fermions on a lattice in any spatial dimension greater than one is equivalent to a local theory of Ising spins coupled to a $Z_{2}$…

High Energy Physics - Theory · Physics 2007-05-23 H. S. Sharatchandra

We derive an exact operator bosonization of a finite number of fermions in one space dimension. The fermions can be interacting or noninteracting and can have an arbitrary hamiltonian, as long as there is a countable basis of states in the…

High Energy Physics - Theory · Physics 2009-11-11 Avinash Dhar , Gautam Mandal , Nemani V Suryanarayana

Recently various phenomenological implications of the existence of extra space-time dimensions have been investigated. In this letter, we construct a model with realistic fermion mass hierarchy with (large) extra dimensions beyond the usual…

High Energy Physics - Phenomenology · Physics 2009-10-31 Koichi Yoshioka

It is shown that it is possible for bound fermions on a cosmic string to form a superconducting state. Due to the attractive force between them, particles moving in opposite directions along the string form bound pairs. This involves a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephen C. Davis

A familiar anomaly affects SU(2) gauge theory in four dimensions: a theory with an odd number of fermion multiplets in the spin 1/2 representation of the gauge group, and more generally in representations of spin 2r+1/2, is inconsistent. We…

High Energy Physics - Theory · Physics 2019-05-09 Juven Wang , Xiao-Gang Wen , Edward Witten

Gauging fermion parity and summing over spin structures are subtly distinct operations. We introduce 'bosonisation cohomology' groups $H_B^{d+2}(X)$ to capture this difference, for theories in spacetime dimension $d$ equipped with maps to…

High Energy Physics - Theory · Physics 2025-11-18 Philip Boyle Smith , Joe Davighi

In addition to the very good theoretical motivations for supersymmetry, there are now at least nine phenomenological indications that nature is supersymmetric. All are indirect, so more is better. They are enumerated here. Some discussion…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. L. Kane

In this work we presented a number of explicit examples for the cubic vertices describing an interaction of massless spin-5/2 field with massive boson and fermion including all hypertransformations necessary for the vertices to be gauge…

High Energy Physics - Theory · Physics 2023-10-27 Yu. M. Zinoviev

In contrast to ordinary symmetries, supersymmetry interchanges bosons and fermions. Originally proposed as a symmetry of our universe, it still awaits experimental verification. Here we theoretically show that supersymmetry emerges…

Strongly Correlated Electrons · Physics 2014-05-05 Tarun Grover , D. N. Sheng , Ashvin Vishwanath

The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons using a label q that parametrizes a smooth interpolation between bosons (q = +1) and fermions (q = -1). We derive ``conservation of statistics'' relations…

High Energy Physics - Theory · Physics 2009-10-31 Chi-Keung Chow , O. W. Greenberg