In a recent paper, Balthazar, Rodriguez and Yin found some remarkable agreement between the results of c=1 matrix model and D-instanton corrections in two dimensional string theory. Their analysis left undetermined two constants in the string theory computation which had to be fixed by comparing the results with the matrix model results. One of these constants is affected by possible renormalization of the D-instanton action that needs to be computed separately. In this paper we fix the other constant by reformulating the world-sheet analysis in the language of string field theory.
On the Gauge Fixing of the k Symmetry on AdS and Flat Background: the Lightcone Action for the Type IIb String on AdS_{5} X S_{5}
我们探索所有可能的方式固定的卡帕对称性膜和字符串通过一个恒定的投影仪。我们发现它们可以根据它们在Dirac共轭和共轭下的行为进行分类。后者控制着费米子变量的最大功率,在这个功率中(超)维尔本能被展开,而前者决定了哪些状态不能在规范中描述。特别是存在一类有趣的投影仪,其中维尔拜因是最二次的费米子变量。作为一个例子,我们计算了IIb型作用在AdS_{5} X S_{5}背景上的光锥状投影仪;这个作用在平坦极限下简化为通常的光锥GS弦作用。
A careful gauge fixing of the conformal killing group (CKG) on genus zero surfaces in bosonic string theory gives non-vanishing two point amplitudes that match the corresponding field theory expressions arXiv:1906.06051, arXiv:1909.03672 . An important ingredient for gauge fixing two point amplitudes in arXiv:1909.03672 was the mostly BRST (mBRST) exact operator. The utility of this operator in gauge fixing CKG perhaps is not just limited to two point amplitudes - we can insert a mBRST exact operator to fix a conformal killing vector (CKV) instead of fixing the position of a vertex operator in…
我说明了存在准现实的异质弦模型,其中所有的untwisted Kaehler和复杂的结构模量,以及所有的扭曲部门模量,是由广义GSO投影。我将讨论产生这种结果的模型的条件和特点。这种模型的存在为在弦论中实现额外维度提供了一个新的视角。在这种观点中,虽然几何图像提供了一个有用的方法来分类弦真空,在唯象上可行的情况下,没有额外维度的物理实现。所考虑的模型对应于Z2 X Z2 orbifolds的六维环面,加上额外的识别内部的移位和扭曲。Z2 X Z2 Orbifold的特殊性质是它可以作用于紧致化的维数作为实维数,而不是复维数。该性质使得能够在所有六个内部坐标上进行不对称投影,这使得能够投影所有未扭曲的Kaehler和复杂结构模量。
Inspired by the rich structure of covariant string field theory, we propose a minimal gauge invariant action for general massive integer spin n field. The action consists of four totally symmetric tensor fields of order respectively n, n-1, n-2 and n-3, and is invariant under the gauge transformation represented by two also totally symmetric fields of order n-1 and n-2. This action exactly has the same gauge structure as for the string field theory and we discuss general covariant gauge fixing procedure using the knowledge of string field theory. We explicitly construct the corresponding gauge…
In this note we construct vertex operators in effective string theory using the simplified covariant formalism, i.e. by embedding it in the Polyakov formalism supplemented by an anomaly term, and fixing to conformal gauge. These vertex operators represent off-shell background fields rather than dynamical string states. We construct vertex operators for nontrivial scalar, electromagnetic, and gravitational backgrounds. As an application, we compute a scalar form factor of a long string with length $R$, where the Fourier momentum $q$ of the external scalar field satisfies $q^2 \ll 1/α^\prime$, a…
We compute the ZZ annulus one-point function of the cosmological constant operator in non-critical string theory, regulating divergences from the boundaries of moduli space using string field theory. We identify a subtle issue in a previous analysis of these divergences, which was done in the context of the $c=1$ string theory, and where it had led to a mismatch with the prediction from the dual matrix quantum mechanics. After fixing this issue, we find a precise match to the expected answer in both the $c<1$ and $c=1$ cases. We also compute the disk two-point function, which is a quantity of …
We study two and three-point tree-level amplitudes of open strings. These amplitudes are reduced from higher-point correlation functions by using mostly BRST exact operators for gauge fixing. For simplicity, we focus on an open string tachyon. The two-point amplitude of open string tachyons is reduced from a three-point function of two tachyon vertex operators and one mostly BRST exact operator. Similarly the three-point amplitude is from a four-point function of three tachyon vertex operators and one mostly BRST exact operator. One can also obtain the two-point amplitude from the four-point f…
We revisit the formulation of non-relativistic (NR) string theory and its target space geometry. We obtain a new formulation in which the geometry contains a two-form field that couples to the tension current and that transforms under string Galilei boosts. This parallels the Newton-Cartan one-form that couples to the mass current of a non-relativistic point particle. We show how this formulation of the NR string arises both from an infinite speed of light limit and a null reduction of the relativistic closed bosonic string. In both cases, the two-form originates from a combination of metric q…
Institute of Physics of the Czech Academy of Sciences(捷克科学院物理研究所);ICTP - South American Institute for Fundamental Research, IFT-UNESP(国际理论物理中心南美基础研究所,圣保罗州立大学)