Nonperturbative formulation of string theory by fermions and the study of black holes

费米子弦理论的非微扰表述和黑洞研究

• 批准号: 10640286
• 负责人: YAHIKOZAWA Shigeaki
• 金额: $ 2.05万
• 依托单位: RIKKYO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640286/
• 关键词: string theory; black hole; D-brane; non-critical string; spacetime singularity; soliton; shock wave; Aichelburg-Sexl spacetime; ストリング理論; ホライズン; Aichelburg-Sexl時空; D6-D2; enhancon; D-brane; string theory; noncritical string; D-instanton; n

The purpose of this research is to construct a nonperturbative formulation of string theory by studying it from the viewpoints of solitons. D-branes. fermions. singularities of spacetime and black holes.First, we suggest that the boundary cosmological constant ζ in c<1 unitary string theory be regarded as the one-dimensional complex coordinate of the target space on which the boundaries of world-sheets can live. From this viewpoint we explicitly construct analogues of D-instantons which satisfy Polchinsk's "combinatories of boundaries." We further show that our operator formalism developed in the preceding articles is powerful in evaluating D-instanton effects, and also demonstrate for simple cases that these effects exactly coincide with the stringy nonperturbative effects found in the exact solutions of string equations.Next, we investigate how much a first-quantized charged bosonic test string gets excited after crossing a shock wave generated by a charged particle with mass M^^- and charge Q^^-. The shock wave is given by a charged Aichelburg-Sexl (CAS) spacetime where Q^^- = 0 corresponds to the ordinary Aichelburg-Sexl one. We compute the mass expectation value of the charged test string after passing through the shock wave in the CAS spacetime. In the case of small Q^^-, gravitational and Coulomb forces are canceled out each other and hence the excitation of the string remains very small. In the case of large Q^^-, however, every charged string gets highly excited by quantum fluctuation in the extra-dimension caused by both the gauge and the axion fields.We have been also studying the enhancon mechanism for the D6-D2 system.

本研究的目的是通过从孤子的角度研究弦理论，构造一个非微扰形式的弦理论。D-膜。费米子。时空和黑洞的奇点。首先，我们建议将c&lt；1么正弦理论中的边界宇宙学常数ζ视为世界薄片边界所在的目标空间的一维复坐标。从这个观点出发，我们显式地构造了满足波尔钦斯克的“边界组合”的D-瞬子的类似物。我们进一步证明了在前面的文章中发展的算符形式在评估D瞬子效应方面是强大的，并在简单的情况下证明了这些效应与弦方程精确解中的弦非微扰效应完全重合。接下来，我们研究了一个第一量子化的带电玻色测试串在穿过质量为M^-和电荷Q^-的带电粒子产生的激波后被激发了多少。激波是由带电的Aichelburg-Sexl(CAS)时空产生的，其中q^^-=0对应于普通的Aichelburg-Sexl时空。我们在CAS时空中计算了带电测试串穿过冲击波后的质量期望值。在小Q^^-的情况下，引力和库仑力相互抵消，因此弦的激发力仍然很小。然而，在大Q^^-的情况下，每个带电的弦都会受到规范场和轴子场在额外维度中的量子涨落的高度激发。我们也一直在研究D6-D2系统的增强机制。

项目成果

M.Fukuma and S.Yahikozawa: "Comments on D-instantons in c<1 strings"Physics Letters. B460. 71-78 (1999)

M.Fukuma 和 S.Yahikozawa：“对 c<1 弦中 D 瞬时的评论”物理快报。

M.Fukuma: "Comments on D-instantons in c<1 strings"Physics Letters B. 460. 71-78 (1999)

M.Fukuma：“对 c<1 弦中 D 瞬时的评论”《物理学快报》B. 460. 71-78 (1999)

Shigeaki Yahikozawa: "Comments on D-instantons in c<1 strings"Physics Letters B. 460. 71-78 (1999)

Shigeaki Yahikozawa：“对 c<1 弦中 D 瞬时的评论”《物理学快报》B. 460. 71-78 (1999)

K.Maeda: "The excitation of a charged string passing through a shock wave in a charged Aichelburg-Sexl spacetime"Nuclear Physics B. 598. 115-133 (2001)

K.Maeda：“带电弦在带电 Aichelburg-Sexl 时空中穿过冲击波的激发”核物理 B. 598. 115-133 (2001)

K.Maeda, T.Torii, M.Narita and S.Yahikozawa: "The excitation of a charged string passing through a shock wave in a charged Aichelburg-Sexl spacetime"Nuclear Physics. B598. 115-133 (2001)

K.Maeda、T.Torii、M.Narita 和 S.Yahikozawa：“带电弦在带电 Aichelburg-Sexl 时空中穿过冲击波的激发”核物理。