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The 1/N_c Expansion in Hadron Effective Field Theory

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Communications in Theoretical Physics 2018年第12期69卷 683-688页

作者： Guo-Ying Chen Department of Physics and Astronomy Hubei University of Education

We study the Nc scalings of pion-nucleon and nucleon-nucleon scatterings in hadron effective field *** assuming witten's counting rules are applied to matrix elements or scattering amplitudes, which use the relativistic normalization for the nucleons, we find that the nucleon axial coupling gAis of order N_c^0, and a consistent large Nc counting can be established for the pion-nucleon and nucleon-nucleon scatterings. We also justify the nonperturbative treatment of the low energy nucleon-nucleon interaction with the large N_c analysis and find that the deuteron binding energy is of order 1/N_c.

关键词： large Nc QCD effective field theory nucleon-nucleon interaction

Orbifold Gromov–witten Invariants of Weighted Blow-up at Smooth Points

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Acta Mathematica Sinica,English Series 2015年第5期31卷 825-846页

作者： Wei Qiang HE Jian Xun HU Department of Mathematics Sun Yat-Sen University

In this paper, one considers the change of orbifold Gromov witten invariants under weighted blow-up at smooth points. Some blow-up formula for Gromov-witten invariants of sym- pleetic orbifolds is proved. These result... 详细信息

关键词： Gromov-witten invariant orbifold weighted blow-up

Descent Equations Starting from High Rank Chern-Simons

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Communications in Theoretical Physics 2018年第4期69卷 375-382页

作者： Bei Kang Yi Pan Ke Wu Jie Yang Zi-Feng Yang School of Mathematical Sciences Capital Normal University Beijing 100048 China School of Mathematics and Statistics Henan University Kaifeng 475004 China

In this paper a set of generalized descent equations are proposed. The solutions to those descent equations labeled by r for any r(r ≥ 2, r ∈ N) are forms of degrees varying from 0 to(2r-1). And the case of r = 2 is... 详细信息

关键词： Wess-Zumino-witten term anomaly descent equations

Extension of Vertex Operator Algebra VH4（e, 0）

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Algebra Colloquium 2014年第3期21卷 361-380页

作者： Cuipo Jiang Song Wang Department of Mathematics Shanghai Jiaotong University Shanghai 200240 China College of Information Technology Shanghai Ocean University Shanghai 201306 China

We classify the irreducible restricted modules for the affine Nappi-witten Lie algebra H4 with some natural conditions. It turns out that the representation theory of H4 is quite different from the theory of representations of Heisenberg algebras. We also study the extension of the vertex operator algebra VH4 （e, 0） by the even lattice L. We give the structure of the extension VH4 （e, 0） [L] and its irreducible modules via irreducible representations of VH4（e, 0） viewed as a vertex algebra.

关键词： vertex operator algebra restricted module extension

Single boson realizations of the deformed angular momentum algebra of witten's types

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Chinese Science Bulletin 2013年第18期58卷 2039-2043页

作者： HUANG HuaJun RUAN Dong Department of Physics Tsinghua University

By generalizing the Holstein-Primakoff realization and the Dyson realization of the Lie algebra SU(2),various realizations of the deformed angular momentum algebra Rc0,c1,c2q,s,a five-parameter deformed SU(2) by combining witten's two deformation schemes,are investigated in terms of the single boson and the single inversion boson *** each kind,the unitary realization,the non-unitary realization,and their connection by the corresponding similarity transformation are respectively discussed.

关键词：李超代数玻色子变形类型角动量 SU(2) 相似变换荷斯坦

A Survey on Mixed Spin P-Fields

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Chinese Annals of Mathematics,Series B 2017年第4期38卷 869-882页

作者： Huai-Liang CHANG Jun LI Wei-Ping LI Chiu-Chu Melissa LIU Department of Mathematics Hong Kong University of Science and Technology Hong Kong China. Shanghai Center for Mathematical Sciences Fudan University Shanghai 200433 China Department of Mathematics Stanford University Stanford CA 94305-2125 USA. Department of Mathematics Columbia University New York NY 10027 USA.

The mixed spin P-fields （MSP for short） theory sets up a geometric platform to relate Gromov-witten invariants of the quintic three-fold and Fan-Jarvis-Ruan-witten invariants of the quintic polynomial in five variables. It starts with wittens vision and the P-fields treatment of GW invariants and FJRW invaxiants. Then it briefly discusses the master space technique and its application to the set-up of the MSP moduli. Some key results in MSP theory are explained and some examples are provided.

关键词： Mixed Spin P-fields GW invariants FJRW invariants P-fields Cosection localization

The Moduli Space in the Gauged Linear Sigma Model

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Chinese Annals of Mathematics,Series B 2017年第4期38卷 913-936页

作者： Huijun FAN Tyler JARVIS Yongbin RUAN School of Mathematical Sciences Peking University Beijing 100871 China. Department of Mathematics Brigham Young University Provo UT 84602 USA. Department of Mathematics University of Michigan Ann Arbor MI 48105 USA.

This is a survey article for the mathematical theory of witten's Gauged Linear Sigma Model, as developed recently by the authors. Instead of developing the theory in the most general setting, in this paper the authors... 详细信息

关键词： Landau-Ginzburg Calabi-Yau Gromov-witten GLSM Moduli Phase Variation of geometric invariant theory Symplectic reduction

Evaluation of the witten Index in 1+1 Dimensional Supersymmetric Models with O(N) Symmetry

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Chinese Physics Letters 1991年第4期8卷 168-171页

作者： YU Yangzheng LIN Tingting Department of Physics Xiamen UniversityXiamen 361005

We present a way to calculate the witten indexΔfor a class of l+l dimensional supersymmetric(SUSY)models with O(N)***Δis invariant under an adiabatic change of parameters,an O(N)non-invariant but SUSY term 2hФN is added to the Lagrangian,therefore the degeneracy of zero-energy states due to O(N)symmetry is *** is shown that SUSY breaking can occur for the SUSY O(N)Wess-Zumino model.

关键词： symmetry model symmetric

A note on Marino-Vafa formula

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Science China Mathematics 2006年第1期49卷 54-65页

作者： LU Wenxuan Department of Mathematics Tsinghua University Beijing 100084 China

Hodge integrals over moduli spaces of curves appear naturally during the localization procedure in computation of Gromov-witten invariants. A remarkable formula of Marino-Vafa expresses a generation function of Hodge integrals via some combinatorial and algebraic data seemingly unrelated to these apriori algebraic geometric objects. We prove in this paper by directly expanding the formula and estimating the involved terms carefully that except a specific type all the other Hodge integrals involving up to three Hodge classes can be calculated from this formula. This implies that amazingly rich information about moduli spaces and Gromov-witten invariants is encoded in this complicated formula. We also give some low genus examples which agree with the previous results in literature. Proofs and calculations are elementary as long as one accepts Mumford relations on the reductions of products of Hodge classes.

关键词： Hodge integrals, Gromov-witten invariants, Marino-Vafa formula, Mumford relations.