Ad S_5S~5背景下IIB超弦的Dressing对称性及Affine可积性

在AdS5 S5背景中 ,IIB超弦的运动方程与Maurer Cartan方程在世界面上存在对偶对称性 .通过引入扭曲对偶 (twisteddual)的概念 ,将有限的对偶变换推广到连续的对偶变换 ,并给出了AdS5 S5中IIB超弦的Lax联络及其可积的相容条件     

AdS5○×S5背景下IIB超弦的Dressing对称性及Affine可积性

在AdS5S5背景中,IIB超弦的运动方程与Maurer-Cartan方程在世界面上存在对偶对称性.通过引入扭曲对偶(twisteddual)的概念，将有限的对偶变换推广到连续的对偶变换，并给出了AdＳ5S5中IIB超弦的Lax联络及其可积的相容条件. 关键词： 扭曲对偶 κ对称性 Lax联络     

AdS5 (×)S1,AdS5(×)S5和AdS2(×)S2超弦模型的一种KRR参数化新方法

给出了3种典型超弦模型AdS5 (×)S1,AdS5(×)S5和AdS2(×)S2的一种简单的KRR参数化新方法,并结合这些超弦模型所具有的κ对称性给出了它们的卡当1-form,Maurer-Cartan方程,作用量和运动方程.     

AdS3×S3 弦的可积性

从Rahmfeld和Rajaraman构造的在AdS₃×S³背景中具有κ对称的GS弦的作用量出发, 推导出AdS₃×S³弦的运动方程, 然后利用连续的扭曲对偶变换构造了带有自由参数λ的平联络, 利用这些平联络可进一步得到无穷多守恒量, 说明此系统是可积的.     

几种典型背景中Green-Schwarz超弦的κ-对称性

Metsaev和Tseytlin(MT)给出的AdS5(×)S5背景中Green-Schwarz(GS)IIB超弦的Polakov作用量可以写成等价的Nambu-Goto形式.对于这种形式,给出了新的与靶空间的流有关的投影算子,并用其构造了使作用量不变的局域κ-变换.κ-对称性的这种新方案是由Schwarz对于GS模型提出的.由于MT模型与GS模型有所不同,文中所构造的局域κ-变换有一些新的特点,且适用于其他类似于MT模型的系统.文中分别以AdS5(×)S1背景中IIB弦及Polyakov新提出的模型为例,构造了κ-对称性的靶空间形式.     

几种典型背景中Green-Schwarz超弦的κ-对称性

Metsaev和Tseytlin(MT)给出的AdS₅S⁵背景中Green-Schwarz(GS) IIB超弦的Polyakov作用量可以写成等价的Nambu-Goto形式.对于这种形式，给出了新的与靶空间的流有关的投影算子，并用其构造了使作用量不变的局域κ-变换.κ-对称性的这种新方案是由Schwarz对于GS模型提出的.由于MT模型与GS模型有所不同，文中所构造的局域κ-变换有一些新的特点，且适用于其他类似于MT模型的系统.文中分别以AdS₅S¹背景中IIB弦及Polyakov新提出的模型为例，构造了κ-对称性的靶空间形式. 关键词： Green-Schwarz超弦 κ-对称性')" href="#">κ-对称性 AdS₅S⁵')" href="#">AdS₅S⁵ AdS₅S¹')" href="#">AdS₅S¹     

∧超核中单粒子谱的自旋及赝自旋对称性研究(英文)

原子核中单粒子谱的自旋和赝自旋对称性对核结构的研究具有重要意义。本文基于相对论平均场理论,以132Sn,_∧133Sn,及_2∧134Sn为例,研究了∧超核中单∧谱和单中子谱的自旋和赝自旋对称性。研究发现,单∧谱的自旋对称性保持得相当好,与实验观测一致;而其赝自旋对称性只是近似保持,与核子谱的情况类似。此外,还研究了∧超子对中子谱的杂质效应,发现∧超子使中子谱的自旋对称性变差,赝自旋对称性变好。Spin and pseudospin symmetries in the single-particle spectra of atomic nuclei are of great significance for the study of nuclear structure. In this work, taking 132Sn, _∧133Sn, and _2∧134Sn as examples, the spin and pseudospin symmetries in ∧ hypernuclei are studied by using the relativistic mean-field model. For the single-∧ spectra, results show that the spin symmetry maintains well while the pseudospin symmetry is approximately conserved. Besides, as impurities, the ∧ hyperons worsen the spin symmetry of single-neutron spectra while improve the pseudospin symmetry.     

AdS_5S~1，AdS_5S~5和AdS_2S~2超弦模型的一种KRR参数化新方法

给出了3种典型超弦模型AdS_5(?)S~1,AdS_5(?)S~5和AdS_2(?)S~2的一种简单的KRR参数化新方法,并结合这些超弦模型所具有的κ对称性给出了它们的卡当1-form,Maurer-Cartan方程,作用量和运动方程．     

推广的多分量费米型量子可导非线性Schr(o)dinger模型的可积性

导出了推广的多分量费米型量子可导非线性Schrodinger模型的哈密顿量.利用代数Bethe ansatz方法,找到了此模型的量子monodromy矩阵所满足的量子Yang-Baxter方程,并证明了其可积性.     

AdS5\otimes S1, AdS5\otimes S5和AdS2\otimes S2超弦模型的一种KRR参数化新方法

给出了3种典型超弦模型AdS₅\otimes S¹, AdS₅\otimes S⁵和AdS₂\otimes S²的一种简单的KRR参数化新方法, 并结合这些超弦模型所具有的κ对称性给出了它们的卡当1-form, Maurer-Cartan方程, 作用量和运动方程.     

The nucleon-nucleon interaction and the role of the [42] orbital six-quark symmetry

The short-range part of the nucleon-nucleon interaction is treated in the one-quark and gluon-exchange approximation. The S-wave phase shifts are calculated using the resonating group method. The nucleon-nucleon, ΔΔ and hidden color channels are taken into account. The spatial symmetry [42] is slightly preferred over the fully orbital symmetric state by the larger probability (89%) with which it is contained asymptotically in the nucleon-nucleon channel and by the quark-quark interaction. The orbital [42] symmetry requires a node in the relative S-wave function between the two nucleons. This yields a hard-core phase shift for the singlet and triplet S-waves.     

Interaction of moving branes with background massless and tachyon fields in superstring theory

Using the boundary state formalism, we study a moving Dp-brane in a partially compact space-time in the presence of background fields: the Kalb-Ramond field B _μν, a U(1) gauge field A _α, and the tachyon field. The boundary state enables us to obtain the interaction amplitude of two branes with the above back-ground fields. The branes are parallel or perpendicular to each other. Because of the presence of background fields, compactification of some space-time directions, motion of the branes, and the arbitrariness of the dimensions of the branes, the system is rather general. Due to the tachyon fields and velocities of the branes, the behavior of the interaction amplitude reveals obvious differences from the conventional behavior.     

Diagrammar and metamorphosis of coset symmetries in dimensionally reduced type IIB supergravity

Studying the reduction of type IIB supergravity from ten to three spacetime dimensions, we describe the metamorphosis of the Dynkin diagram for gravity line “caterpillar” into a type IIB supergravity “ dragonfly” that is triggered by the inclusion of scalars and antisymmetric tensor fields. The final diagram corresponds to type IIB string theory E₈ global symmetry group, which is the subgroup of the conjectured E₁₁ hidden symmetry group. Application of the results for getting the type IIA/IIB T-duality rules and for searching for type IIB vacua solutions is considered.     

Magnetic symmetry in rare intermetallic compounds with CaZn5 type of structure

New magnetic structures which can arise in rare earth intermetallic compounds with CaZn₅ type of structure are suggested using a well known group theoretical method derived from the Landau theory of the second order phase transitions. Only symmetry consideratations are taken into account.