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Deformation of Member under Multiple Loadings

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When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
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Flow Equations for Generalized TT[over ¯] Deformations.

Guzmán Hernández-Chifflet1, Stefano Negro2, Alessandro Sfondrini3,4,5

  • 1Instituto de Física, Facultad de Ingeniería, Universidad de la República, Montevideo 11300, Uruguay.

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Summary
This summary is machine-generated.

We explore general integrable deformations of 2D quantum field theories (QFTs) using CDD deformations. This research derives a generalized flow equation for higher-spin charges under these deformations, consistent with known results.

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Area of Science:

  • Quantum Field Theory
  • Integrable Systems
  • High Energy Physics

Background:

  • Two-dimensional relativistic quantum field theories (QFTs) possess rich structures.
  • Integrable deformations, such as the TT[over ¯] deformation, offer insights into QFT properties.
  • Higher-spin conserved charges play a crucial role in integrable theories.

Purpose of the Study:

  • To investigate the most general set of integrable deformations of 2D relativistic QFTs.
  • To establish a framework for understanding CDD deformations and their relation to higher-spin charges.
  • To derive a generalized flow equation governing these deformations.

Main Methods:

  • Utilizing CDD deformations of the factorized S matrix.
  • Employing a mirror version of the generalized Gibbs ensemble.
  • Calculating finite-volume expectation values of higher-spin charges.

Main Results:

  • Identified general integrable deformations extending the TT[over ¯] deformation.
  • Established a connection between CDD deformations and higher-spin conserved charges.
  • Derived a generalized flow equation applicable to all higher-spin charges under these deformations.

Conclusions:

  • The derived generalized flow equation is a fundamental property of these integrable deformations.
  • The results provide a unified approach to studying various integrable deformations in 2D QFTs.
  • This work offers new tools for analyzing the dynamics of quantum field theories with higher-spin symmetries.