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WITTEN: 作品数：66被引量：22H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：王松陈雪范辉军黄腾李合朋更多>>; 相关机构：东北师范大学上海交通大学清华大学中国科学院更多>>; 相关期刊：《Journal of Quantum Information Science》《Journal of Applied Mathematics and Physics》《Communications in Mathematics and Statistics》《四川文理学院学报》更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家教育部博士点基金福建省自然科学基金更多>>

Schur Q-Polynomials and Kontsevich-Witten Tau Function: 《Peking Mathematical Journal》2024年第2期713-758,共46页Xiaobo Liu Chenglang Yang; partially supported by NSFC grants 11890662 and 11890660.; Using matrix model,Mironov and Morozov recently gave a formula which represents Kontsevich-Witten tau function as a linear expansion of Schur Q-polynomials.In this paper,we will show directly that the Q-polynomial exp...; 关键词：Kontsevich-Wittentaufunction Schur Q-polynomials BKP hierarchy

Edward Witten: The father of modern string theory: 《疯狂英语(新读写)》2024年第12期27-30,75,76,共6页孙启禄; Edward Witten has been described as“the most brilliant physicist of his generation”,and some even compare him to Isaac Newton.A deeply original and dedicated theoretical physicist,Witten's primary focus is string th...; 关键词：THEORY simply STRING

Quantum Curve and Bilinear Fermionic Form for the Orbifold Gromov–Witten Theory of P[r]: 《Acta Mathematica Sinica,English Series》2024年第1期43-80,共38页Chong Yao CHEN Shuai GUO; Supported by National Key R&DProgram of China(Grant No.2020YFE0204200);NSFC(Grant Nos.12225101,12061131014 and 11890660)。; We construct the quantum curve for the Baker-Akhiezer function of the orbifold Gromov-Witten theory of the weighted projective line P[r].Furthermore,we deduce the explicit bilinear Fermionic formula for the(stationary...; 关键词：Quantum curve Free Fermions Gromov-Witten invariants Orbifold P^(1)

MOTIVIC VIRTUAL SIGNED EULER CHARACTERISTICS AND THEIR APPLICATIONS TO VAFA-WITTEN INVARIANTS: 《Acta Mathematica Scientia》2022年第6期2279-2300,共22页Yunfeng JIANG; For any scheme M with a perfect obstruction theory,Jiang and Thomas associated a scheme N with a symmetric perfect obstruction theory.The scheme N is a cone over M given by the dual of the obstruction sheaf of M,and c...; 关键词：motivic Euler characteristics dual obstruction cone motivic Vafa-Witten invariants K3 surfaces

A Geometric Depiction of Solomon–Tukachinsky’s Construction of Open Gromov–Witten Invariants: 《Peking Mathematical Journal》2022年第2期279-348,共70页Xujia Chen; Supported by NSF Grant DMS 1901979。; The 2016 papers of Solomon and Tukachinsky use bounding chains in Fukaya’s A∞-algebras to define numerical disk counts relative to a Lagrangian under certain regularity assumptions on the moduli spaces of disks.We p...; 关键词：Open Gromov-Witten invariants Bounding chains

Double Ramification Cycles with Orbifold Targets: 《Acta Mathematica Sinica,English Series》2022年第8期1333-1376,共44页Bo Hui CHEN Cheng Yong DU Rui WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11890663,12071322,11890660,11826102);the National Key R&D Program of China(Grant No.2020YFA0714000);the Sichuan Science and Technology Program(Grant Nos.2019YJ0509 and 2022JDTD0019);a joint research project of Laurent Mathematics Research Center of Sichuan Normal University and V.C.&V.R.Key Lab of Sichuan Province。; In this paper,we consider double ramification cycles with orbifold targets.An explicit formula for double ramification cycles with orbifold targets,which is parallel to and generalizes the one known for the smooth cas...; 关键词：Root of orbifold line bundles polynomiality double ramification cycle absolute/relative orbifold Gromov–Witten theory

Imaginary Modules over the Affine Nappi-Witten Algebra: 《Acta Mathematica Sinica,English Series》2022年第6期1041-1053,共13页Yi Xin BAO Yan An CAI; Supported by NSF of China(Grant Nos.11801117,11801390);the Natural Science Foundation of Guangdong Province,China(Grant No.2018A030313268);the General Finacial Grant from the China Postdoctoral Science Foundation(Grant No.2016M600140)。; In this paper,we consider the imaginary highest weight modules and the imaginary Whittaker modules for the affine Nappi-Witten algebra.We show that simple singular imaginary Whittaker modules at level(κ、c)(κ∈C~*)a...; 关键词：Affine Nappi-Witten algebra imaginary Verma modules imaginary highest weight modules imaginary Whittaker modules simple modules

A COMPACTNESS THEOREM FOR STABLE FLAT SL(2, C) CONNECTIONS ON 3-FOLDS: 《Acta Mathematica Scientia》2022年第3期1160-1172,共13页Teng HUANG; supported in part by NSF of China(11801539);the Fundamental Research Funds of the Central Universities(WK3470000019);the USTC Research Funds of the Double First-Class Initiative(YD3470002002)。; Let Y be a closed 3-manifold such that all flat SU(2)-connections on Y are non-degenerate.In this article,we prove a Uhlenbeck-type compactness theorem on Y for stable flat SL(2,C)connections satisfying an L^(2)-bound...; 关键词：Stable flat SL(2 C)connections Vafa-Witten equations compactness theorem

A Cluster Expansion Free Method for Computing Higher Derivatives of the Free Energy and Estimating the Error between the Finite and Infinite Volume Free Energy: 《Journal of Applied Mathematics and Physics》2022年第5期1762-1784,共23页Assane Lo; The theory of phase transitions is one of the branches of statistical physics in which smoothness and continuity play an important role. In fact, phase transitions are characterized mathematically by the degree of non...; 关键词：Witten Laplacians ANALYTICITY Free Energy Kac-Models

Cachazo-Svrcek-Witten rules for tree-level gluonic amplitudes revisited: 《Science China(Physics,Mechanics & Astronomy)》2022年第4期20-31,共12页Wen-Jie Zhang Jun-Bao Wu Chuan-Jie Zhu; supported by the National Natural Science Foundation of China(Grant Nos.11975164,11935009,12047502,and 11947301);Natural Science Foundation of Tianjin(Grant No.20JCYBJC00910);supported by a fund from Hunan University of Arts and Science。; We provide a new proof of Cachazo-Svrcek-Witten rules for tree-level gluonic amplitudes.As a key step,we explicitly demonstrate the cancellation of spurious poles originating from the maximally helicity violating vert...; 关键词：general properties of perturbation theory perturbative calculations dualities in gauge field theories

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