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We determine, for the first time, the scaling dimensions of a family of fixed-charge operators stemming from the critical $O(N)$ model in 4-$\epsilon$ dimensions to the leading and next to leading order terms in the charge expansion but to…

High Energy Physics - Theory · Physics 2021-02-09 Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang

We discuss in this paper the behaviour of minimal models of conformal theory perturbed by the operator $\Phi_{13}$ at the boundary. Using the RSOS restriction of the sine-Gordon model, adapted to the boundary problem, a series of boundary…

High Energy Physics - Theory · Physics 2009-10-31 F. Lesage , H. Saleur , P. Simonetti

Boundary form factor axioms are derived for the matrix elements of local boundary operators in integrable 1+1 dimensional boundary quantum field theories using the analyticity properties of correlators via the boundary reduction formula.…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bajnok , L. Palla , G. Takacs

We compute the form factors of the order and disorder operators, together with those of the stress-energy tensor, of the two-dimensional three-state Potts model with vacancies along its thermal deformation of the critical point. At…

High Energy Physics - Theory · Physics 2024-03-19 Giuseppe Mussardo , Marco Panero , Andrea Stampiggi

Two point correlation functions of the off-critical primary fields \phi_{1, 1+s} are considered in the perturbed minimal models M_{2, 2N+3} + \phi_{1,3}. They are given as infinite series of form factor contributions. The form factors of…

High Energy Physics - Theory · Physics 2008-11-26 Takeshi Oota

We study the structure constants of two conformal primary operators and one spinning operator in planar $\mathcal{N} = 4$ Super-Yang-Mills theory using the hexagon formalism. By analytically continuing in the spin, we derive a formula for…

High Energy Physics - Theory · Physics 2025-04-11 Benjamin Basso , Alessandro Georgoudis

We classify the operator content of local hermitian scalar operators in the Sinh-Gordon model by means of independent solutions of the form-factor bootstrap equations. The corresponding linear space is organized into a tower-like structure…

High Energy Physics - Theory · Physics 2009-10-22 A. Koubek , G. Mussardo

The two-frequency sine-Gordon model is examined. The focus is mainly on the case when the ratio of the frequencies is 1/2, given the recent interest in the literature. We discuss the model both in a perturbative (form factor perturbation…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bajnok , L. Palla , G. Takacs , F. Wagner

We perturbatively study form factors in the Landau-Lifshitz model and the generalisation originating in the study of the N=4 super-Yang-Mills dilatation generator. In particular we study diagonal form factors which have previously been…

High Energy Physics - Theory · Physics 2017-10-06 Lorenzo Gerotto , Tristan McLoughlin

We compute the Form Factors of the relevant scaling operators in a class of integrable models without internal symmetries by exploiting their cluster properties. Their identification is established by computing the corresponding anomalous…

High Energy Physics - Theory · Physics 2008-11-26 C. Acerbi , G. Mussardo , A. Valleriani

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted…

High Energy Physics - Theory · Physics 2015-06-25 M. Ablikim , E. Corrigan

We study transition form factors for radiative and rare semi-leptonic B-meson decays into light pseudoscalar or vector mesons, combining theoretical constraints and phenomenological information from Lattice QCD, light-cone sum rules, and…

High Energy Physics - Phenomenology · Physics 2015-03-14 Aoife Bharucha , Thorsten Feldmann , Michael Wick

We consider the realization of N=2 superconformal models in terms of free first-order $(b,c,\beta,\gamma)$-systems, and show that an arbitrary Landau-Ginzburg interaction with quasi-homogeneous potential can be introduced without spoiling…

High Energy Physics - Theory · Physics 2009-10-22 P. Fre' , L. Girardello , A. Lerda , P. Soriani

Three-dimensional N-extended superconformal symmetry is studied within the superspace formalism. A superconformal Killing equation is derived and its solutions are classified in terms of supertranslations, dilations, Lorentz…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

We provide general determinant formulae for all n-particle form factors related to the trace of the energy momentum tensor and the analogue of the order and disorder operator in the $SU(3)_2$-homogeneous Sine-Gordon model. We employ the…

High Energy Physics - Theory · Physics 2009-10-31 O. A. Castro-Alvaredo , A. Fring , C. Korff

The twenty-one-vertex model, the spin $1$ analogue of the eight-vertex model is considered on the basis of free field representations of vertex operators in the $2\times 2$-fold fusion SOS model and vertex-face transformation. The tail…

Mathematical Physics · Physics 2015-12-02 Yas-Hiro Quano

In this paper we study the form factors for the half-BPS operators $\mathcal{O}^{(n)}_I$ and the $\mathcal{N}=4$ stress tensor supermultiplet current $W^{AB}$ up to the second order of perturbation theory and for the Konishi operator…

High Energy Physics - Theory · Physics 2011-03-18 L. V. Bork , D. I. Kazakov , G. S. Vartanov

We use the exact scattering description of the scaling Ashkin-Teller model in two dimensions to compute the two-particle form factors of the relevant operators. These provide an approximation for the correlation functions whose accuracy is…

High Energy Physics - Theory · Physics 2009-10-31 G. Delfino

The $N=2$ minimal superconformal model can be twisted yielding an example of topological conformal field theory. In this article we investigate a Lie theoretic extension of this process.

High Energy Physics - Theory · Physics 2015-06-26 Toshiya Kawai , Taku Uchino , Sun-Kil Yang

We continue our investigation of the Z_N-Baxter-Bazhanov-Stroganov model using the method of separation of variables [nlin/0603028]. In this paper we calculate the norms and matrix elements of a local Z_N-spin operator between eigenvectors…

Exactly Solvable and Integrable Systems · Physics 2008-03-12 G. von Gehlen , N. Iorgov , S. Pakuliak , V. Shadura , Yu. Tykhyy