We study supersymmetric domain wall solutions in four dimensions arising from the compactification of type II supergravity on a SU(3)xSU(3) structure manifold. Using a pure spinor approach, we show that the supersymmetry variations can be reinterpreted as a generalisation of the Hitchin flow equations and describe the embedding of a SU(3)xSU(3) structure manifold into a G_2xG_2 structure manifold. We find a precise agreement between the four- and ten-dimensional supergravity results. The flow equations derived here should have applications in constructing the gravity duals of Chern-Simons-matter conformal field theories.
M-theory on AdS_4xM^{111}: the complete Osp(2|4)xSU(3)xSU(2) spectrum from harmonic analysis
本文从AdS_4/CFT_3对应的现代观点出发，重新考虑了80年代分类的AdS_4x（G/H）_7流形上D=11超引力的Kaluza Klein紧化.本文主要讨论了N=2的三种情形之一：（G/H）_7=M^{111}=SU（3）xSU（2）xU（1）/SU（2）xU（1）′ xU（1）″.本文以80年代我们与R. D 'Auria，我们导出了长、短和无质量Osp（2）的完整谱|4）xSU（3）xSU（2）酉不可约表示。我们的结果也为其他N=2紧化提供了一个一般的方案。此外，它是AdS_4/CFT_3对应关系中的必要比较项：我们得到的谱的完全AdS/CFT匹配将提供比S^7情形中更严格的AdS/CFT对应的证明，因为M2膜世界体积上的超共形场论的结构必须在复合算子的水平上再现味群表示，我们在本文中得到的共形维数和超荷。对这场比赛的调查将留给未来的出版物。在这里，我们提供了一个详尽的建设卡鲁扎克莱因侧我们的光谱。
Systematic classification of Z2xZ2 orbifold compactifications of the heterotic-string was pursued by using its free fermion formulation. The method entails random generation of string vacua and analysis of their entire spectra, and led to discovery of spinor-vector duality and three generation exophobic string vacua. The classification was performed for string vacua with unbroken SO(10) GUT symmetry, and progressively extended to models in which the SO(10) symmetry is broken to the SO(6)xSO(4), SU(5)xU(1), SU(3)xSU(2)xU(1)^2 and SU(3)xU(1)xSU(2)^2 subgroups. Obtaining sizeable number of phenom…
Coleman-de Luccia transitions are spontaneous processes of nucleation of bubbles within metastable gravitational vacua including in their interior a true stable vacuum. From the perspective of lower-dimensional gauged supergravities obtained by truncating Type II and M-theory, these instantonic processes are represented by smooth domain walls featured by de Sitter foliations. These geometries must connect two different AdS vacua in such a way that the wall is defined by an interior and an exterior. We propose a first-order formulation for such radial flows and present two fully backreacted exa…
Compactifying 6d superconformal field theories (SCFTs) to 4d $\mathcal{N}=1$ theories on two-punctured spheres (tubes) and tori with flux is realized using duality domain walls in 5d $\mathcal{N}=1$ Kaluza-Klein (KK) theories, which are usually denoted by $flux$ $domain$ $walls$. We revisit this construction and study it in detail from the 5d perspective, specifically rephrasing it using the box graph description of the extended Coulomb branch phases of 5d theories. This perspective could be helpful in understanding how to equivalently realize the 4d $\mathcal{N}=1$ models from geometric engin…
We study supersymmetric $AdS_n\times Σ^{7-n}$, $n=2,3,4,5$ solutions in seven-dimensional maximal gauged supergravity with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)$ gauge groups. These gauged supergravities are consistent truncations of eleven-dimensional supergravity and type IIB theory on $H^{p,q}\circ T^{5-p-q}$ and $H^{p,q}\circ T^{4-p-q}$, respectively. Apart from recovering the previously known $AdS_n\times Σ^{7-n}$ solutions in $SO(5)$ gauge group, we find novel classes of $AdS_5\times S^2$, $AdS_3\times S^2\times Σ^2$ and $AdS_3\times CP^2$ solutions in non-compact $SO(3,2)$ gauge group to…
Brane Constructions, Fractional Branes and Anti-deSitter Domain Walls
AdS 5 x X 5上的IIB型弦论的紧化，其中X 5是爱因斯坦空间，对于X 5的某些选择，可以有1/4或1/2的最大超对称性。这些理论中的一些承认奇异的畴壁产生于X5中包裹2-圈的5-膜。我们探讨这些畴壁，分数膜和膜拉伸的间隔之间的关系。包裹膜中的世界体积通量在分析中起着重要的作用。我们画了一些相似之处的AdS背景与异国情调的域壁和N=1超对称MQCD，并确定其他扩展对象的AdS侧的双膜建设。膜创建的过程是用来给分数膜和膜之间的关系的间隔的替代推导。
我们考虑膜世界宇宙，其中任意大的$N$量子CFT存在于畴壁上。这对应于在AdS/CFT对应的上下文中实现Randall-Sundrum紧化。利用反常诱导的畴壁CFT有效作用量，证明了4d de Sitter壁宇宙（暴胀）自洽量子产生的可能性。在最大超对称杨-米尔斯理论的情况下，得到了与Hawking-Hertog-Reall发现的半径和有效张力的精确对应。双曲壁宇宙可能是由量子效应引起的，但仅限于具有特殊中心荷符号的奇异物质（高导数共形标量）。
We study QCD with massless quarks on $\mathbb{R}^3\times S^1$ under symmetry-twisted boundary conditions with small compactification radius, i.e. at high temperatures. Under suitable boundary conditions, the theory acquires a part of the center symmetry and it is spontaneously broken at high temperatures. We show that these vacua at high temperatures can be regarded as different symmetry-protected topological orders, and the domain walls between them support nontrivial massless gauge theories as a consequence of anomaly-inflow mechanism. At sufficiently high temperatures, we can perform the se…
