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Entanglement entropy in integrable field theories with line defects II. Non-topological defect

This is the second part of two papers where we study the effect of integrable line defects on bipartite entanglement entropy in integrable field theories. In this paper, we consider non-topological line defects in Ising field theory. We derive an infinite series expression for the entanglement entropy and show that both the UV and IR limits of the bulk entanglement entropy are ...

Entanglement entropy in integrable field theories with line defects. Part I. Topological defect

In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the form factor bootstrap method, we show that topological defects do not affect the the entanglement entropy in the UV limit and ...

Diagonal form factors and hexagon form factors II. Non-BPS light operator

We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the \( \mathcal{N}=4 \) Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend the analysis of our previous short letter [1] to the general case where the heavy operators can be in any rank one sector and the light ...

On the semi-classical limit of scalar products of the XXZ spin chain

We study the scalar products between Bethe states in the XXZ spin chain with anisotropy |Δ| > 1 in the semi-classical limit where the length of the spin chain and the number of magnons tend to infinity with their ratio kept finite and fixed. Our method is a natural yet non-trivial generalization of similar methods developed for the XXX spin chain. The final result can be written in ...

Diagonal form factors and hexagon form factors

We study the heavy-heavy-light (HHL) three-point functions in the planar \( \mathcal{N} \) = 4 super-Yang-Mills theory using the recently proposed hexagon bootstrap program [1]. We prove the conjecture of Bajnok, Janik and Wereszczynski [2] on the polynomial L-dependence of HHL structure constant up to the leading finite-size corrections, where L is the length of the heavy ...

From spin vertex to string vertex

In the recent publication [1] the spin vertex was introduced as a new approach for computing three-point functions in \( \mathcal{N}=4 \) SYM. In this note we consider the BMN limit of the spin vertex for scalar excitations and show that it reproduces the string vertex in the light-cone string field theory which describes the string interactions in the pp-wave background at the ...

Diagonal form factors and heavy-heavy-light three-point functions at weak coupling

In this paper we consider a special kind of three-point functions of HHL type at weak coupling in \( \mathcal{N}=4 \) SYM theory and analyze its volume dependence. At strong coupling this kind of three-point functions were studied recently by Bajnok, Janik and Wereszczynski [1]. The authors considered some cases of HHL correlator in the \( \mathfrak{s}\mathfrak{u}(2) \) sector and, ...

Developing Subdomain Allocation Algorithms Based on Spatial and Communicational Constraints to Accelerate Dust Storm Simulation

Dust storm has serious disastrous impacts on environment, human health, and assets. The developments and applications of dust storm models have contributed significantly to better understand and predict the distribution, intensity and structure of dust storms. However, dust storm simulation is a data and computing intensive process. To improve the computing performance, high ...

Fixing the quantum three-point function

We propose a new method for the computation of quantum three-point functions for operators in \( \mathfrak{s}\mathfrak{u} \)(2) sectors of \( \mathcal{N} \) = 4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and long-range spin chains. This transformation can be traced back to a combination of boost operators and an ...

A tree-level 3-point function in the su(3)-sector of planar \( \mathcal{N}=4 \) SYM

We consider a particular case of the 3-point function of local single-trace operators in the scalar sector of planar \( \mathcal{N}=4 \) supersymmetric Yang-Mills, where two of the fields are su(3) type, while the third one is su(2) type. We show that this tree-level 3-point function can be expressed in terms of scalar products of su(3) Bethe vectors. Moreover, if the second level ...