We consider compactifications of rank $Q$ E-string theory on a genus zero surface with no punctures but with flux for various subgroups of the $\text{E}_8\times \text{SU}(2)$ global symmetry group of the six dimensional theory. We first construct a simple Wess-Zumino model in four dimensions corresponding to the compactification on a sphere with one puncture and a particular value of flux, the cap model. Using this theory and theories corresponding to two punctured spheres with flux, one can obtain a large number of models corresponding to spheres with a variety of fluxes. These models exhibit interesting IR enhancements of global symmetry as well as duality properties. As an example we will show that constructing sphere models associated to specific fluxes related by an action of the Weyl group of $\text{E}_8$ leads to the S-confinement duality of the $\text{USp}(2Q)$ gauge theory with six fundamentals and a traceless antisymmetric field. Finally, we show that the theories we discuss possess an $\text{SU}(2)_{\text{ISO}}$ symmetry in four dimensions that can be naturally identified with the isometry of the two-sphere. We give evidence in favor of this identification by computing the `t Hooft anomalies of the $\text{SU}(2)_{\text{ISO}}$ in 4d and comparing them with the predicted anomalies from 6d.
Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles in arbitrary spin representations. In doing so, we universally relate the sphere partition function to the quotient of a quasi-canonical bulk and a Euclidean edge partition function, given by integrals of characters encoding the bulk and edge spectrum of the observable universe. Expanding the bulk character splits the bulk (entanglement) entropy into quasinor…
Spinning strings in AdS_5 x S^5: A worldsheet perspective
我们研究了领先的Regge弦状态相关的半经典自旋弦的解决方案。利用初等RNS技术，构造了描述具有五种形式通量的时空中的大质量NSNS弦的有效拉格朗日量中的二次项。然后我们研究了AdS_5 × S ^5的特殊情况，发现AdS的“能量”（E_0）与AdS的自旋（S）、球的自旋（J）和球的轨道角动量（\nabla_a \nabla^a）的关系。
We study string corrections to one-loop amplitudes of single-particle operators ${\cal O}_p$ in $AdS_5 \times S^5$. The tree-level correlators in supergravity enjoy an accidental 10d conformal symmetry. Consequently, one observes a partial degeneracy in the spectrum of anomalous dimensions of double-trace operators and at the same time equality of many different correlators for different external charges $p_{i=1,2,3,4}$. The one-loop contribution is expected to lift such bonus properties, and its precise form can be predicted from tree-level data and consistency with the operator product expan…
Notes on supersymmetric Wilson loops on a two-sphere
本文研究了N=4超杨-米尔斯理论中最近发现的一族1/8-BPS超对称威尔逊圈及其弦论性质。该算子定义在时空中双球面上的任意轮廓线上，并通过二维玻色子杨-米尔斯理论证明了它们是微扰捕获的。在AdS对偶中，它们由生活在AdS_5 x S^5的某个子流形上的伪全纯弦曲面来描述。我们表明，这些字符串表面的正则化区域是不变的边界循环下保持面积的同态，在协议的猜想。此外，我们发现了伪全纯性方程和S^3上的一个辅助σ模型之间的联系，这可能有助于构造新的1/8-BPS弦解。我们还证明了二维Yang-Mills的相关关系意味着两个威尔逊圈的连通相关器可以用厄米高斯双矩阵模型计算。在AdS对偶方面，我们认为连通关联器是由两个不连通的圆盘通过交换超引力模相互作用来描述的，并且我们证明了这与双矩阵模型的强耦合平面极限一致.
The landscape of possible four-dimensional low-energy effective theories arising from compactifications of string/M-theory seems vast. This might lead one to believe that any consistent-looking effective field theory coupled to gravity can be obtained as a low-energy limit of string theory. However, a set of "swampland" conjectures suggests that this is not true and that, in fact, there is an even larger set of effective field theories that cannot be obtained in this way. In particular, the AdS instability swampland conjecture asserts that nonsupersymmetric anti-de Sitter vacua are unstable. T…
Flavor symmetries and the topology of special Kähler structures at rank 1
本文提出了一种从质量形变库仑支的特殊Kähler结构的拓扑不变量确定秩为1的4d N = 2超共形场论和IR自由规范理论的连续味对称的味荷格的方法.该方法基于CB上椭圆纤维化全空间的中同调，是味荷格的F-理论弦网描述的推广。由此产生的晶格，我们称之为“弦网晶格”，不仅包含有关的味道对称性的SCFT的信息，但也有额外的信息编码在从中间同源交叉形式的晶格度量。这些额外的信息清楚地反映了CB上BPS态的低能电荷和磁荷，但是弦网晶格度规的其他性质，我们还不能根据BPS谱的性质来理解。我们计算了所有秩为1的SCFT和IR自由规范理论的弦网格。我们发现协议与其他方法得到的结果，并发现在少数情况下，弦网晶格提供额外的信息的味道对称性。
We present a geometric derivation of all-multiplicity (single-trace) tree-level Einstein Yang-Mills (EYM) amplitudes ${\cal A}(n;r)$ involving $n$ gluons and $r$ gravitons by a bilinear of two twisted differential forms on the moduli space of Riemann spheres with $m\!:=\!n\!+\!r$ punctures. The differential forms are gained by studying the underlying superstring disk amplitude and proposing an embedding of the disk onto the sphere. This map can be interpreted as a geometrical map from the open superstring to a heterotic or ambitwistor string structure. Then, the twisted intersection number of …
