All-order consistency of 5d sugra vacua

Dark Energy Density in SUGRA models and degenerate vacua

In N=1 supergravity the tree-level scalar potential of the hidden sector may have a minimum with broken local supersymmetry (SUSY) as well as a supersymmetric Minkowski vacuum. These vacua can be degenerate, allowing for a consistent implementation of the multiple point principle. The first minimum where SUSY is broken can be identified with the physical phase in which we live. In the second supersymmetric phase, in flat Minkowski space, SUSY may be broken dynamically either in the observable or in the hidden sectors inducing a tiny vacuum energy density. We argue that the exact degeneracy of …

On the consistency of de Sitter vacua

In this paper the consistency of the de Sitter invariant $α$-vacua, which have been introduced as simple tools to study the effects of transplanckian physics, is investigated. In particular possible non renormalization problems are discussed, as well as non standard properties of Greens functions. We also discuss the non thermal properties of the $α$-vacua and the necessity of $α$ to change. The conclusion is that non of these problems necessarily exclude an application of the $α$-vacua to inflation.

德西特空间中α-真空宇宙学关联函数的共形场论解释

A CFT interpretation of cosmological correlation functions in $α-$vacua in de-Sitter space

本文提出用BD真空关联函数计算德西特空间α-真空宇宙学关联函数的简单方法，并证明在动量空间中放宽OPE极限一致性要求后，α-真空关联函数可与三维CFT关联函数建立联系。

关于 $h^{2,1}=0$ 的 DGKT 型真空全息一致性的注记

A note on the holographic consistency of DGKT-type vacua with $h^{2,1}=0$

本文研究尺度分离 AdS 真空中的全息约束，发现对于 $h^{2,1}=0$ 的 DGKT 型真空，标量模的三点函数意外抵消，暗示该结论可能普遍成立。

Godel Spacetimes, Abelian Instantons, the Graviphoton Background and other Flacuum Solutions

We study the relations between all the vacua of Lorentzian and Euclidean d=4,5,6 SUGRAs with 8 supercharges, finding a new limiting procedure that takes us from the over-rotating near-horizon BMPV black hole to the Godel spacetime. The timelike compactification of the maximally supersymmetric Godel solution of N=1,d=5 SUGRA gives a maximally supersymmetric solution of pure Euclidean N=2,d=4 with flat space but non-trivial anti-selfdual vector field flux (``flacuum'') that, on the one hand, can be interpreted as an U(1) instanton on the 4-torus and that, on the other hand, coincides with the gr…

Branes with Brains: Exploring String Vacua with Deep Reinforcement Learning

We propose deep reinforcement learning as a model-free method for exploring the landscape of string vacua. As a concrete application, we utilize an artificial intelligence agent known as an asynchronous advantage actor-critic to explore type IIA compactifications with intersecting D6-branes. As different string background configurations are explored by changing D6-brane configurations, the agent receives rewards and punishments related to string consistency conditions and proximity to Standard Model vacua. These are in turn utilized to update the agent's policy and value neural networks to imp…

AdS4 flux vacua in type II superstrings and their domain-wall solutions

We investigate the emergence of supersymmetric negative-vacuum-energy ground states in four dimensions. First, we rely on the analysis of the effective superpotential, which depends on the background fluxes of the internal manifold, or equivalently has its origin in the underlying gauged supergravity. Four-dimensional, supersymmetric anti-de Sitter vacua with all moduli stabilized appear when appropriate Ramond and Neveu--Schwarz fluxes are introduced in IIA. Geometric fluxes are not necessary. Then the whole setup is analyzed from the perspective of the sources, namely D/NS-branes or Kaluza--…

德西特真空——‘次领头阶修正’何时真正处于次领头阶？

De Sitter vacua -- when are `subleading corrections' really subleading?

本文研究IIB型模场稳定化中弱翘曲LVS德西特真空的各类修正，指出翘曲修正在小通量数区域不再致命，但其他修正仍需小数值系数才能保持解的自洽性。

α真空中的暴胀非高斯性及其与共形对称性的一致性

Inflationary non-Gaussianities in alpha vacua and consistency with conformal symmetries

本文在单场慢滚暴胀的α真空中计算三点和四点标量关联函数，证明其满足共形Ward恒等式，并以扩展的波泛函方法验证in-in结果。

Type I vacua with brane supersymmetry breaking

We show how chiral type I models whose tadpole conditions have no supersymmetric solution can be consistently defined introducing antibranes with non-supersymmetric world volumes. At tree level, the resulting stable non-BPS configurations correspond to tachyon-free spectra, where supersymmetry is broken at the string scale on some (anti)branes but is exact in the bulk, and can be further deformed by the addition of brane-antibrane pairs of the same type. As a result, a scalar potential is generated, that can stabilize some radii of the compact space. This setting has the novel virtue of linkin…

Type IIA/M-theory Moduli fixing in a Class of Orientifold Models

We present the study of type II A flux vacua and their M-theory duals for compactification on a class of Calabi-Yau orientifolds. The Kaehler potential is derived from toroidal compactifications and the superpotential contains a contribution from non-Abelian gauge degrees of freedoms. We obtain complete stabilisation of the moduli. We found one supersymmetric minimum and several non supersymmetric ones. Consistency of the analysis constrains the parameters of the models in a finite region containing a finite, although very large, number of flux vacua. From the M-theory side, we found some diff…

A Proof of the Axion?

We show that the de Sitter quantum breaking bound when applied to QCD exposes the necessity of the axion solution to the strong CP problem. The Peccei-Quinn mechanism emerges as a consistency requirement independent of the naturalness questions. The $θ$-angle must be unphysical rather than simply small. All other approaches including a fine-tuning of $θ$ lead to the existence of de Sitter vacua and are excluded by consistency.

二阶微扰理论中O-平面去弥散的一致性条件

Consistency conditions for O-plane unsmearing from second-order perturbation theory

针对弦理论标度分离AdS紧化中去弥散伪解问题，本文通过二阶微扰分析提出积分约束形式的一致性条件，可通过选主导解积分常数满足，为去弥散提供检验并支持AdS真空存在。

非超对称弦的时空方面

Spacetime aspects of non-supersymmetric strings

本文研究非超对称弦理论中蝌蚪势引发的时空效应，通过假超对称形式、电磁通量支撑的真空构造及类膜解，揭示了无超对称背景下引力的真空结构与不稳定性。