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Non--minimal $q$-deformations are defined. Their role in the explicit construction of the matrix elements of the generators of ${\cal U}_{q}(SO(5))$ on suitably parametrized bases are exhibited. The implications are discussed.

q-alg · Mathematics 2008-02-03 B. Abdesselam , D. Arnaudon , A. Chakrabarti

We reformulate the matrix models of minimal superstrings as loop gas models on random surfaces. In the continuum limit, this leads to the identification of minimal superstrings with certain bosonic string theories, to all orders in the…

High Energy Physics - Theory · Physics 2009-11-10 Davide Gaiotto , Leonardo Rastelli , Tadashi Takayanagi

Organic charge transfer salts show a variety of complex phases ranging from antiferromagnetic long-range order, spin liquid, bad metal or even superconductivity. A powerful method to investigate magnetism is spin-polarized inelastic neutron…

Materials Science · Physics 2014-07-29 Francesc Salvat-Pujol , Harald O. Jeschke , Roser Valenti

One of the principal barriers in developing accurate and tractable predictive models in turbulent flows with a large number of species is to track every species by solving a separate transport equation, which can be computationally…

Computational Engineering, Finance, and Science · Computer Science 2021-05-19 Donya Ramezanian , Arash G. Nouri , Hessam Babaee

Introducing the fermionic R-operator and solutions of the inverse scattering problem for local fermion operators, we derive a multiple integral representation for zero-temperature correlation functions of a one-dimensional interacting…

Statistical Mechanics · Physics 2011-11-10 Kohei Motegi , Kazumitsu Sakai

We give necessary and sufficient geometric conditions for a theory definable in an o-minimal structure to interpret a real closed field. The proof goes through an analysis of thorn-minimal types in super-rosy dependent theories of finite…

Logic · Mathematics 2007-11-02 Assaf Hasson , Alf Onshuus

We develop a method for computing form factors of local operators in the framework of Sklyanin's separation of variables (SOV) approach to quantum integrable systems. For that purpose, we consider the sine-Gordon model on a finite lattice…

Mathematical Physics · Physics 2017-03-20 N. Grosjean , J. M. Maillet , G. Niccoli

This work deals with a new family of models, which includes the sine-Gordon model and the double-sine-Gordon, triple-sine-Gordon and so on. The investigation is based on a deformation procedure, which is used to deform a well-known model,…

High Energy Physics - Theory · Physics 2009-09-11 D. Bazeia , L. Losano , R. Menezes , M. A. M. Souza

We calculate the threshold singularities in one-dimensional models using the universal low-energy formfactors obtained in the framework of the non-linear Luttinger liquid model. We find the reason why the simplified picture of the impurity…

Mathematical Physics · Physics 2016-08-03 A. A. Ovchinnikov

Integral formulae for form factors of a large family of charged local operators in SU(2) invariant Thirring model are given extending Smirnov's construction of form factors of chargeless local operators in the sine-Gordon model. New abelian…

Mathematical Physics · Physics 2007-05-23 Atsushi Nakayashiki , Yoshihiro Takeyama

Applications of the principle of reduction of couplings to the standard model and supersymmetric grand unified theories are reviewed. Phenomenological applications of renormalization group invariant sum rules for soft supersymmetry-breaking…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jisuke Kubo

We present a simple and straightforward method for relating the form factors in HQET, as defined by the covariant trace formalism, to the overlaps of the rest frame wave functions of the light degrees of freedom. We also point out several…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Veseli , M. G. Olsson

We consider two-dimensional $\mathcal{N}=(0,2)$ sigma models with the CP(1) target space. A minimal model of this type has one left-handed fermion. Nonminimal extensions contain, in addition, $N_f$ right-handed fermions. Our task is to…

High Energy Physics - Theory · Physics 2017-03-06 Xiaoyi Cui , M. Shifman

The study of exactly marginal deformations of superconformal field theories is a topic that has received considerable attention due to their rich properties. We investigate the $\mathcal{N}=2$ preserving exactly marginal operators of 3d…

High Energy Physics - Theory · Physics 2020-12-30 Emanuele Beratto , Noppadol Mekareeya , Matteo Sacchi

We consider the scaling Lee-Yang model. It corresponds to the unique perturbation of the minimal CFT model M(2,5). This is not a unitary model. We used known expression for form factors in order to obtain a closed expression for a…

High Energy Physics - Theory · Physics 2009-10-31 Vladimir E. Korepin , Takeshi Oota

In this manuscript we present a detailed investigation of the form factors of boundary fields of the sinh-Gordon model with a particular type of Dirichlet boundary condition, corresponding to zero value of the sinh-Gordon field at the…

High Energy Physics - Theory · Physics 2009-11-11 Olalla A. Castro-Alvaredo

We calculate the leading quantum corrections to the meson form factors of nonrelativistic kinks, at momentum transfer much higher than the meson mass. We consider general scalar theories which need not be integrable. Our approach is much…

High Energy Physics - Theory · Physics 2022-05-18 Jarah Evslin

We study the low-energy dynamics of semi-classical vortex strings living above Argyres-Douglas superconformal field theories. The worldsheet theory of the string is shown to be a deformation of the CP^N model which flows in the infra-red to…

High Energy Physics - Theory · Physics 2009-11-11 David Tong

Recent results in study of the Minimal Supersymmetric Standard Model as the effective low energy theory give important hints for experimental search for supersymmetry. Also, in the bottom-up approach to explore weak scale - GUT scale…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan pokorski

Classification is a central problem for dynamical systems, in particular for families that arise in a wide range of topics, like substitution subshifts. It is important to be able to distinguish whether two such subshifts are isomorphic,…

Dynamical Systems · Mathematics 2022-08-24 Fabien Durand , Julien Leroy