Basics of F-theory from the Type IIB Perspective
Ralph Blumenhagen
这些简短的课堂讲稿介绍了F理论的一些基本概念，特别强调了它与具有O 7/O3平面的IIB型定向褶皱的关系。
These short lecture notes provide an introduction to some basic notions of F-theory with some special emphasis on its relation to Type IIB orientifolds with O7/O3-planes.
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An Alternative D$p$-brane Solution of Type IIB Supergravity
通过将热环与额外维分离，我们得到了一个新的IIB型超引力的精确D $p$膜解，这可能为从IIB型超引力的角度研究QCD $_4$的非微扰动力学提供了一个方案.
String coupling and interactions in type IIB matrix model
研究了IIB矩阵模型中闭弦的相互作用。闭超弦的基本相互作用是通过两个相交弦的复合来实现的。在IIB矩阵模型中，利用二维非对易规范理论，在IR极限下研究了这种相互作用。通过对复合几率的估计，我们确定了IIB矩阵模型中的弦耦合g_s。我们确认我们的鉴定是一致的矩阵弦论。
Recent holographic analyses on IIA and IIB models of moduli stabilization have led to many interesting results. Here we extend this approach to M-Theory. We consider both flux-stabilized models and non-perturbative stabilization methods. We perform a holographic analysis to determine the spectrum of the assumed dual $CFT_{3}$ to see its AdS/CFT implication. For the flux stabilization, which relies on a large complex Chern-Simons invariant, moduli have integer dimensions similar to the DGKT flux-stabilized model in type IIA,. For the non-perturbative stabilization, the results are similar to ra…
IIA Perspective On Cascading Gauge Theory
本文利用T-对偶IIA型描述，研究了锥尖p正则和M分数D ~ 3-膜上的IIB型弦论中的N=1超对称级联规范理论.我们再现了该理论的超对称真空结构，并证明了Kachru，Pearson和Verlinde在IIB描述中发现的非超对称态的IIA模拟在弦论中是亚稳态的，但在场论极限下隧穿到超对称真空的势垒是无穷大的.我们还评论了N=2超对称规范理论对应于近奇异K3上的正则和分数D ~ 3-膜，并阐明了该理论中级联的起源。
Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
在Ramond-Ramond背景支持的平面波空间上构造了$IIB$型超弦的协变$κ$ -对称超弦作用量.该作用被定义为陪集超空间上的2d sigma模型。我们将费米子和玻色子光锥规范固定在协变的格林-施瓦茨超弦作用量中，求出了光锥弦的拉格朗日量和哈密顿量。由此产生的光锥规范作用量在玻色子和费米子超弦2d场中都是二次的，因此，这个模型可以被明确量子化。我们还得到了基本超代数的生成元在光锥规范超弦二维场中的一种实现。
The type IIB matrix model is a promising candidate for a nonperturbative formulation of superstring theory. In the Lorentzian version, in particular, the emergence of (3+1)D expanding space-time was observed by Monte Carlo studies of this model. Here we provide new perspectives on the (3+1)D expanding space-time that have arised from recent studies. First it was found that the matrix configurations generated by the simulation are singular in that the submatrices representing the expanding 3D space have only two large eigenvalues associated with the Pauli matrices. This problem was conjectured …
On the computation of non-perturbative effective potentials in the string theory landscape -- IIB/F-theory perspective
我们讨论了在弦论中系统地计算非微扰效应时出现的一些问题。特别是，我们投相当通用的物理性质的研究语言的可计算性/数论，并表明，这相当于解决系统的丢番图方程。在类比希尔伯特的第10个问题的负解，我们认为，在这样的系统研究可能没有算法，其中一个可以确定所有的物理效应。我们以大体积IIB型紧化为例，感兴趣的物理性质是一般紧化的低能量非微扰F-项。类似的分析也适用于其他种类的弦真空，我们将特别讨论我们的思想对F理论的推广。虽然这些结果意味着，它可能不可能系统地回答某些物理问题的通用IIB型紧化，我们确定特定的卡-丘流形中的丢番图方程成为线性的，从而可以系统地解决。作为所需的系统学的F-条款的研究的一部分，我们开发的技术计算Z_2等变线丛上同调的环面品种，确定存在特定的瞬子零模式通过Koszul复杂。这是普遍感兴趣的现实IIB模型的建设上完整的交叉复曲面周围空间。
We establish features of so-called Yangian secret symmetries for AdS3 type IIB superstring backgrounds thus verifying the persistence of such symmetries to this new instance of the AdS/CFT correspondence. Specifically, we find two a priori different classes of secret symmetry generators. One class of generators, anticipated from the previous literature, is more naturally embedded in the algebra governing the integrable scattering problem. The other class of generators is more elusive, and somewhat closer in its form to its higher-dimensional AdS5 counterpart. All of these symmetries respect le…
Binary AdS black holes coupled to a bath in Type IIB
本文在IIB型弦论中构造双重全息装置，实现两个相互耦合并与热浴作用的AdS黑洞，识别出无岛、部分岛和全岛三种熵相，为理解黑洞信息问题提供新框架。
We review recent progress in the study of S-folds in light of the gauge/gravity duality and the AdS swampland conjecture. S-folds correspond to non-geometric backgrounds of type IIB supergravity of the form $\,\textrm{AdS}_4 \, \times \, \textrm{S}^1 \, \times \, \mathcal{M}\,$ that involve a non-trivial $\,\textrm{SL}(2,\,\mathbb{Z})\,$ (S-duality) monodromy for the type IIB fields when moving around the $\,\textrm{S}^1$. We present four such solutions with $\,\mathcal{M}=\textrm{S}^{5}\,$ that preserve $\,\mathcal{N}=4,2,1,0\,$ supersymmetries. Via the AdS/CFT correspondence, these solutions…
Superembedding Approach and S-Duality. A unified description of superstring and super-D1-brane
证明了二维世界片超空间$§^{(2|8+8)}$嵌入D=10的IIB型超空间$M^{(10|16+16)}$的基本超嵌入方程提供了基本超弦和超D1-膜的普适的S-对偶不变描述.我们给出了广义作用量原理，得到了这两个物体的超场运动方程，并发现了超弦和超D1-膜的超场方程是如何通过S-对偶变换联系起来的。将6维世界单超空间$§^{(6|16)}$超嵌入到D=10的IIB型超空间中，可能会为IIB型超NS 5膜、超D5膜和Kaluza-Klein膜（超KK 5膜）的集合提供类似的普适描述。
In this note we study exceptional algebroids, focusing on their relation to type IIB superstring theory. We show that a IIB-exact exceptional algebroid (corresponding to the group $E_{n(n)}\times \mathbb{R}^+$, for $n\le 6$) locally has a standard form given by the exceptional tangent bundle. We derive possible twists, given by a flat $\mathfrak{gl}(2,\mathbb{R})$-connection, a covariantly closed pair of 3-forms, and a 5-form, and comment on their physical interpretation. Using this analysis we reduce the search for Leibniz parallelisable spaces, and hence maximally supersymmetric consistent t…
Perspectives of TFD on String Theory
考虑pp波背景下的IIB型超弦，介绍了热场动力学关于弦论的一些新观点和展望。热Fock空间的构造试图考虑一个可能的有限温度版本的BMN对应在这个框架中。此外，热真空被确定为一个弦边界状态，实现了热环面的解释，在热场动力学的范围。这样的解释是对最近对闭玻色弦的一些分析的概括。
Towards a Field Theory of F-theory
我们提出了一个12维玻色子场论的建议，它承认11维超引力的玻色子扇区是一致的截断。它也可以一致地截断为一个包含IIB型理论的所有BPS p膜孤子的10维拉格朗日量。在后一种情况下允许一致截断的机制是不寻常的，因为具有非对角动力学项的附加场是非零的，但对十维理论的动力学没有贡献。然而，它们确实会影响溶液的氧化回到12维。本文讨论了M-理论和IIB型弦的所有基本BPS孤子到D=12的氧化。特别地，IIB型理论的NS-NS弦和R-R弦是D=12的膜围绕紧化2-环面的一个或另一个圆的缠绕。
We study supersymmetry constraints on higher derivative deformations of type IIB supergravity by consideration of superamplitudes. Combining constraints of on-shell supervertices and basic results from string perturbation theory, we give a simple argument for the non-renormalization theorem of Green and Sethi, and some of its generalizations.
We calculate the structure function $F_3(x,q^2)$ of the hadronic tensor of deep inelastic scattering (DIS) of charged leptons from glueballs of ${\cal {N}}=4$ SYM theory at strong coupling and at small values of the Bjorken parameter in the gauge/string theory duality framework. This is done in terms of type IIB superstring theory scattering amplitudes. From the AdS$_5$ perspective, the relevant part of the scattering amplitude comes from the five-dimensional non-Abelian Chern-Simons terms in the $SU(4)$ gauged supergravity obtained from dimensional reduction on $S^5$. From type IIB superstrin…
F-theory and M-theory perspectives on N=2 supersymmetric gauge theories in four dimensions
变形的原始F-理论背景的建议。这些导致了多种新的对偶性和物理现象。我们专注于一个模型，在这个模型中，我们让七个膜包裹一个多中心的Taub-NUT空间，而不是R4。这种配置提供了一个成功的F-理论嵌入一类最近提出的四维N = 2超共形（SCFT）的La Gaiotto。Argyres-Seiberg对偶，新的Gaiotto对偶，以及Benini- Benvenuti和Tachikawa的膜网络的各个方面都被我们的构造所捕获。本文还简要地讨论了共形情况下的超引力理论。将我们的构造扩展到非共形情形，我们发现了N = 2超对称的四维规范理论中有趣的级联行为。由于用IIB/F型理论的语言分析这种意想不到的现象是相当困难的，我们转向IIA/M型理论的描述，其中澄清了N = 2级联的起源。利用T-对偶IIA型膜语言，我们首先研究了锥尖p正则和M分数D 3-膜上的IIB型弦论中的N = 1超对称级联规范理论。我们再现了这个理论的超对称真空结构。我们还表明，IIA模拟的非超对称状态的Kachru，皮尔逊和Verlinde发现的IIB描述是亚稳态的弦论，但势垒隧穿到超对称真空去无穷大的场论极限。然后，我们使用我们已经开发的技术来分析N = 2的超对称规范理论对应的规则和分数的D3-膜的近奇异K3，并澄清在这个理论中的级联的起源。
GSO Defects: IIA/IIB Walls and the Surprisingly Stable $\mathrm{R}7$-Brane
本文研究了IIA/IIB墙和R7膜的GSO缺陷，发现R7膜稳定且非BPS D膜带电，提供了关于弦理论对偶的新视角。
Consistent truncations with massive modes and holography
我们回顾了最近发现的一些一致的卡鲁扎-克莱因截断的基本特征，包括大量的模式。我们强调的基本思想的减少过程中，然后我们专注于IIB型超引力的5维流形承认一个佐佐木-爱因斯坦结构，这导致半最大规范超引力在5维。最后，我们评论一下一致性的全息图。
We compute the tree-level $H^2R^3$ couplings of type II strings and provide some basic tests of the couplings by considering both K3 and Calabi-Yau threefold compactifications. Curiously, additional kinematical structures show up at tree level that are not present in the one-loop couplings. This has interesting implications for type II supersymmetry as well as $SL(2, \mathbb Z)$ duality in type IIB strings.
We propose a string theory realization of three-dimensional $\mathcal{N}=4$ quiver gauge theories with special unitary gauge groups. This is most easily understood in type IIA string theory with D4-branes wrapped on holomorphic curves in local K3's, by invoking the Stückelberg mechanism. From the type IIB perspective, this is understood as simply compactifying the familiar Hanany-Witten (HW) constructions on a $T^3$. The mirror symmetry duals are easily derived. We illustrate this with various examples of mirror pairs.
We initiate the study of (2,0) little string theory of ADE type using its definition in terms of IIB string compactified on an ADE singularity. As one application, we derive a 5d ADE quiver gauge theory that describes the little string compactified on a sphere with three full punctures, at low energies. As a second application, we show the partition function of this theory equals the 3-point conformal block of ADE Toda CFT, q-deformed. To establish this, we generalize the A_n triality of \cite{AHS} to all ADE Lie algebras; IIB string perspective is crucial for this as well.
RG Cascades in Hyperbolic Quiver Gauge Theories
本文给出了超对称QFT $_{4}$的一般分类，将其分为三个基本类：普通类、仿射类和不定类。最后一类在文献中还没有得到充分的研究，它具有普通和仿射超QFT $_{4}$的大部分性质。这包括，除其他外，其嵌入在II型字符串的本地卡-丘三倍。我们给出了这些超对称QFT $_{4}$作为D膜世界体积规范理论的实现。由于双曲子集的特殊性质以及它在非零轴子的IIB型背景中所起的作用，人们对它特别感兴趣。我们还研究了RG流和对偶级联的情况下，双曲双曲理论。对整个不定扇区进行了评论。
Lectures on F-theory compactifications and model building
这些课堂讲稿致力于F理论的形式和现象学方面。我们首先从F理论的一般概念的教学介绍开始，涵盖了经典的主题，如连接到IIB型orientifolds，椭圆纤维化的几何和规范群的出现，物质和汤川耦合。作为一个合适的框架，紧凑的F-理论真空的建设，我们描述了一类特殊的Weierstrass模型称为泰特模型，其局部性质被捕获的频谱覆盖建设。有了这项技术，我们继续进行调查的F-理论大统一理论模型，旨在概述基本概念和现象学方面，特别是与大统一理论突破通过超荷通量。
Note on Extended Coherent Operators and Some Basic Properties
这是论文（quant-ph/0009012）的延续。本文推广了相干算子，研究了相干算子的一些基本性质（解纠缠公式、单位分解、对易关系等）。我们还提出了我们工作的观点。
In this communication, one shows that there exists in the literature a certain form of deformed derivative that can here be identified as the dual of conformable derivative. The deformed subtraction is used here, together with the duality concept, as the basic definitions and starting points in order to obtain the connected dual operators. The q-exponential, in the context of generalized statistical mechanics, is the eigenfunction of this dual conformable derivative. The basic properties of the dual deformed-derivatives and also some perspective of applications and simple models are presented.…
The subject of this thesis is cosmological implications of string compactifications understood in a broad sense. In the first half of the thesis, we will begin by reviewing the four-dimensional description of the tree-level perturbative type IIB action. We will then review a number of open questions in cosmology and their relevance with regards to the remainder of the thesis. We will first explore some of these cosmological questions from the perspective of effective field theories motivated by supergravity. From the naturalness of dark energy and how to obtain a naturally light dark energy fi…
Critical Phenomena: An Introduction from a modern perspective
我们这一系列讲座的目的是介绍一些重要的现象，这些现象强调了不同长度尺度的出现和所起的作用。现在公认的是，重整化群给出了这些现象的基本理解，所以，而不是遵循传统的历史轨迹，我们试图发展的方式，强调长度尺度为基础的方法的主题。
Violating Lorentz invariance minimally by the emergence of nonmetricity? A Perspective
本文提出应在引力的规范理论框架中理解洛伦兹不变性破坏，指出时空度量-仿射几何的非零非度规性可作为洛伦兹对称性破坏的标志。
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