玻色泛函积分的域及其在路径积分和弦论的数学物理中的应用

某些广义Kac-Moody代数作为玻色弦的自然构造

Natural constructions of some generalized Kac-Moody algebras as bosonic strings

有10个广义Kac-Moody代数，它们的分母单位元是无平方水平格上奇异权的完全反射自守积。在中心电荷为24的亚纯顶点算子代数和自旋为1的代数$\hat{A}_{p-1,p}^r$存在的假设下，我们证明了它们中的四个可以由在适当的目标空间上运动的玻色弦以统一的方式构造.

Hyperbolic Geometry and Closed Bosonic String Field Theory II: The Rules for Evaluating the Quantum BV Master Action

The quantum Batalian-Vilkovisky master action for closed string field theory consists of kinetic term and infinite number of interaction terms. The interaction strengths (coupling constants) are given by integrating the off-shell string measure over the distinct string diagrams describing the elementary interactions of the closed strings. In the first paper of this series, it was shown that the string diagrams describing the elementary interactions can be characterized using the Riemann surfaces endowed with the hyperbolic metric with constant curvature $-1$. In this paper, we construct the of…

关于从Minkowski空间到黎曼流形的全玻色弦

On the full bosonic string from Minkowski space to Riemannian manifolds

本文研究了二维Minkowski空间中满玻色弦的作用，目标是一个黎曼流形。它的临界点将波图方程耦合到标量势和二型势。除了研究它们的基本特征外，我们还建立了后者的存在性结果。

四维无张力玻色弦的旋量和扭量公式

Spinor and Twistor Formulations of Tensionless Bosonic Strings in Four Dimensions

构造了四维Minkowski空间中无张力玻色弦的旋量和扭量公式。我们从一阶作用量开始，它在有张力的情况下等价于Nambu-Goto作用量，而在无张力的情况下则导致旋量作用量。从这个旋作用，我们发现一个替代旋作用有用的构造一个简单的扭量制定的无张力字符串。根据扭量理论的一个基本概念，稳定地构造扭量公式。我们调查本地内部对称性内在的twistorial行动的tensionless字符串，并进行了一些经典的分析tensionless字符串表示的twistorial形式。

玻色弦场论的同伦分类

Homotopy Classification of Bosonic String Field Theory

证明了量子闭弦场论的圈同伦代数的分解定理，并利用它证明了在给定弦背景和给定S-矩阵上，闭弦场论在规范变换下是唯一的.对于开弦和闭弦的理论，我们使用开闭同伦代数的结果来证明不等价的开弦场论空间与经典闭弦背景空间是同构的。作为开闭同伦代数的进一步应用，我们证明了弦场论是背景独立的，并且在非常精确的意义下是局部唯一的。最后，我们在同伦代数的框架下讨论了拓扑弦论，并找到了闭弦和开弦场论之间的一个广义对应。

玻色弦的拓扑离散化

Topological discretization of bosonic strings

我们应用拓扑量子化方法得到了在平坦背景上传播的玻色弦拓扑谱。定义了系统的经典组态，构造了唯一表示它的主纤维丛，并通过主纤维丛的特征类定义了拓扑谱。我们找到明确的表达式的拓扑谱的特定配置的玻色弦上的闵可夫斯基背景，并表明，它们导致系统的总能量的离散化。

玻色弦理论中相干热态的电路复杂度

Circuit Complexity for Coherent-Thermal States in Bosonic String Theory

针对玻色弦理论，本文在光锥规范下构造热场双重态并得到相干热弦态，进而用协方差矩阵方法和群流形最短测地线计算其电路复杂度。

Fractional Bosonic Strings

The aim of this paper is to present a simple generalization of bosonic string theory in the framework of the theory of fractional variational problems. Specifically, we present a fractional extension of the Polyakov action, for which we compute the general form of the equations of motion and discuss the connection between the new fractional action and a generalization the Nambu-Goto action. Consequently, we analyse the symmetries of the modified Polyakov action and try to fix the gauge, following the classical procedures. Then we solve the equations of motion in a simplified setting. Finally, …

闭玻色弦的代数量子化

Algebraic quantization of the closed bosonic string

封闭玻色弦的规范不变观测量在四维时空中通过显协变方法构造量子代数而被量子化。量子代数是无限维李代数的泛赋形代数上的导子的核。这个代数的希尔伯特空间表示的搜索是从它的建设分开，并推迟。

Virasoro Algebra and Asymptotic Symmetries from Fractional Bosonic Strings

The aim of this work is to further study the fractional bosonic string theory. In particular, we wrote the energy-momentum tensor in the fractional conformal gauge and study their symmetries. We introduced the Virasoro operators of all orders. In fact, we found the same $L_0 (\widetilde{L}_0)$ operator originally defined in the work of fractional bosonic string up to a shift transformation. Also, we compute the algebra of our Fractional Virasoro Operators, finding that the satifies the $Witt$ algebra. Lastly, we showed that in the boundary of our theory we recover the lost conservation law ass…

New bosonic hard string scattering amplitudes and extended Gross conjecture in superstring theory

We discover new hard string scattering amplitudes (HSSA) with polarizations orthogonal to the scattering plane in the NS sector of 10D open superstring theory. The corresponding HSSA in the bosonic string theory are of subleading order in energy. In addition, all HSSA are found to be proportional to each other and the ratios among these HSSA are calculated to justify Gross conjecture in 1988 on high energy symmetry of string theory. Moreover, together with these new HSSA, the total number of HSSA calculated in the first massive level of NS sector are found to agree with those of hard polarized…

The holomorphic bosonic string

We present a holomorphic version of the bosonic string in the formalism of quantum field theory developed by Costello and collaborators. In this paper we focus on the case in which space-time is flat and construct a one-loop exact quantization. Starting from first principles, we arrive at the critical dimension as an obstruction to satisfying the quantum master equation. Moreover, we show how the factorization algebra recovers the BRST cohomology of the string and give another construction of the Gerstenhaber structure. Finally, we show how the factorization homology along closed manifolds enc…