Entanglement asymmetry and symmetry defects in boundary conformal field theory by Yuya Kusuki, Sara Murciano, Hirosi Ooguri, Sridip Pal

“…By leveraging 2D boundary conformal field theory (BCFT), we investigate the symmetry breaking for both finite and compact Lie groups. …”
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Tooth Surface Design and Finite Element Analysis of Circular-arc Tooth Curvilinear Cylindrical Gear by Gao Xiaowei, Jia Jie, Yan Chang, Song Xuding

“…On the basis of the meshing theory of circular-arc tooth curvilinear cylinder gear,the corresponding design method and cutting theory are studied,and the tooth surface forming principle is analyzed.By using a double-sided cutter generating method and taking the cutting cone tooth surface which formed by cutter blade rotating as the imaginary tooth surface,the meshing process of the circular-arc tooth curvilinear cylindrical gear is simulated,the tooth surface equation is derived,the tooth surface numerical simulation is carried out and the visualization is realized.Then,the finite element mesh model is imported into ABAQUS software to carry out the finite element analysis,the contrastive analysis between the finite element analysis result and Hertz contact theory is carried out,and the result shows that built finite element model is reasonable.Through the comparison between the analysis results and the cylindrical gear with the same size,the result shows that the contact strength of circular-arc tooth curvilinear cylindrical gear is better than spur involute cylindrical gear.Beside,through the comparison analysis of the three groups size calculation examples of cutter radius,the relation between the cutter radius size and stress size is obtained.…”
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Finite Element Modeling and Analysis of Nonlinear Impact and Frictional Motion Responses Including Fluid—Structure Coupling Effects by Yong Zhao

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Resilient Performance of Self-Centering Hybrid Rocking Columns: Theory, Experiment, and Numerical Simulation by Shi Yan, Tao Wang, Xing Su

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Analysis of Stiffness Characteristic of Five-degree-of-freedom Hammer Riveting Robot based on Spiral Theory by Chunying Jiang, Xiangchen Liu, Changlong Ye, Huan Zhou, Xu Guan

“…In view of the characteristics of the 5-DOF hammer riveting robot， combining Lie group Lie algebra and spiral theory， its kinematics model is established and solved； use the exponential product formula to derive the Jacobian matrix of the robot，and use the stiffness mapping theory to solve the stiffness matrix of the robot； the finite element and Matlab simulation software are used to simulate and verify the end deformation under the general pose and the extreme pose，and the stiffness distribution map of the robot in the task space varying with the change of pose is given；the simulation result is compared with the theoretical calculation value and the error is not more than 10%，which verify the correctness and effectiveness of the established stiffness model and provide important reference for optimization of subsequent work path.…”
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MAIN PARAMETER ANALYSIS AND MECHANICAL BEHAVIOR OF ANTI-KAGOME LATTICE STRUCTURE by HAN ZongZheng, DUAN MingDe, YANG ZiWei, ZHANG ZhuangYa, WANG Pei, WANG MaoHua

“…In order to seek a lattice structure with better mechanical properties, a reverse Kagome lattice unit cell model is proposed based on the point group theory, and it is contrastively analyzed with the kagome unit cell model in the mechanical properties. …”
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Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes by Gregor Kälin, Gustav Mogull, Alexander Ochirov, Bram Verbeek

“…This generalizes the previously observed cancellation of weight-2 terms in the superconformal theory, where Nf = 2Nc for gauge group SU(Nc). The subtraction scheme follows naturally both from general IR factorization principles and from an integrand-level analysis of divergences in this amplitude. …”
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A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials by Toshiaki Maeno, Satoshi Naito, Daisuke Sagaki

“…The main ingredient in our proof is an explicit formula expressing the semi-infinite Schubert class associated to the longest element of the finite Weyl group, which is proved by making use of the general Chevalley formula for the torus-equivariant K-group of the semi-infinite flag manifold associated to $SL_{n+1}(\mathbb {C})$ .…”
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U-duality in quantum M2-branes and gauged supergravities by M. P. García del Moral, C. las Heras, A. Restuccia

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Prediction of Cutting Temperature and Optimization of Process Parameters in Gear Skiving by Wen Zijin, Chen Yongpeng

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Structure Design and Optimization of Flexure Hinge Positioning Stage based on Giant Magnetostrictive Actuator by Mao Pengfei, Yu Caofeng, Wang Chuanli, Zhong Changming

“…A flexure hinge positioning stage with giant magnetostrictive actuator（ GMA） as the driving unit is designed,which is composed of multi- group flexure hinges and guided by elastic deformation under force. …”
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A note on conservative measures on semigroups by N. A. Tserpes

“…Call μ conservative if all right translations tx:s→sx, x∈S (which are assumed closed mappings) are conservative with respect (S,B,μ) in the ergodic theory sense. It is shown that the semigroup generated by the support of μ is a left group. …”
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Numerical Simulation and Shear Capacity Study of a New Double-Steel-Plate Shear Wall by Xiaomeng Zhang, Qingying Ren, Jiaqi Wang, Ziao Liu, Xiao Yang

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Existence of Pseudo-Superinvolutions of the First Kind by Ameer Jaber

“…Our main purpose is to develop the theory of existence of pseudo-superinvolutions of the first kind on finite dimensional central simple associative superalgebras over 𝐾, where 𝐾 is a field of characteristic not 2. …”
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Hyperbolic Metric Spaces and Stochastic Embeddings by Chris Gartland

“…The following are obtained as our main results: (1) every snowflake of a compact, finite Nagata-dimensional metric space stochastically embeds into an ultrametric space and has Lipschitz free space isomorphic to $\ell ^1$ , (2) the Lipschitz free space over hyperbolic n-space is isomorphic to the Lipschitz free space over Euclidean n-space and (3) every infinite, finitely generated hyperbolic group stochastically embeds into an $\mathbb {R}$ -tree, has Lipschitz free space isomorphic to $\ell ^1$ , and admits a proper, uniformly Lipschitz affine action on $\ell ^1$ .…”
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Short-Term Creep Experiment of Cement Asphalt Mortar and Its Numerical Simulation by Hao Xu, Ping Wang, Hong-song Lin, Hua Yan

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Error Analysis and Numeric Simulation Research of Parallel Seismic Method by Chao Lin, Cheng-Lin Zhang, Li Rao, Chuang Yang, Bin An, Bao–Feng Zhao, Tao Zhan, Xian-Jun Tan

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Microscopic Description of 2D Topological Phases, Duality, and 3D State Sums by Zoltán Kádár, Annalisa Marzuoli, Mario Rasetti

“…We introduce the latter with an emphasis on obtaining them from theories in the continuum. Equivalence of the previous models in the ground state is shown in case of the honeycomb lattice and the gauge group being a finite group by means of the well-known duality transformation between the group algebra and the spin network basis of lattice gauge theory. …”
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Modular representations of Loewy length two by M. E. Charkani, S. Bouhamidi

“…Let G be a finite p-group, K a field of characteristic p, and J the radical of the group algebra K[G]. …”
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Thermo-Hydromechanical Coupling Responses Driven by a Central Heat Source in Unsaturated Soils by Wei Wang, Jingjing Liu, Jing Chen

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