我们构造了描述一堆D3-膜的超引力解，这些D3-膜局域在一个分解的L^{a，b，c}锥的爆破循环上的一个点上。几何形状从AdS_5 x L^{a，b，c}流向AdS_5 x S^5/Z_k。相应的超规范规范理论在两个超共形不动点之间经历RG流，这导致在各个L^{a，b，c}不动点之间的半无限流链。一般的系统是由Heun方程的三重方程描述的，每个方程都可以通过具有三项递归关系的展开来求解，尽管在某些情况下有封闭形式的解。这使我们能够读出那些在电子规范理论从一个固定点流出时获得非零真空期望值的算符。
英文摘要：
We construct supergravity solutions describing a stack of D3-branes localized at a point on a blown-up cycle of a resolved L^{a,b,c} cone. The geometry flows from AdS_5 x L^{a,b,c} to AdS_5 x S^5/Z_k. The corresponding quiver gauge theory undergoes an RG flow between two superconformal fixed points, which leads to semi-infinite chains of flows between the various L^{a,b,c} fixed points. The general system is described by a triplet of Heun equations which can each be solved by an expansion with a three-term recursion relation, though there are closed-form solutions for certain cases. This enables us to read off the operators which acquire non-zero vacuum expectation values as the quiver gauge theory flows away from a fixed point.
A thorough investigation is presented of the exact black hole solution on a warped five-dimensional spacetime in conformal dilaton gravity (CDG), found in earlier work. Summarized, we will prove: The black hole solution in the CDG model on a warped 5D spacetime: 1. It is an exact solution for the metric components as well as for the dilaton field. 2.The quintic polynomial describing the zero's of the model, has no essential singularities. 3.If we write $^{(5)}g_{μν}=ω^{4/3}{^{(5)}}{\tilde g_{μν}}, ^{(5)}\tilde g_{μν}=^{(4)}\tilde g_{μν}+n_μn_ν, ^{(4)}\tilde g_{μν}=\barω^2 {^{(4)}}\bar g{μν}$ t…
Methods of Hamiltonian dynamics are applied to study the geodesic flow on the resolved conifolds over Sasaki-Einstein space $T^{1,1}$. We construct explicitly the constants of motion and prove complete integrability of geodesics in the five-dimensional Sasaki-Einstein space $T^{1,1}$ and its Calabi-Yau metric cone. The singularity at the apex of the metric cone can be smoothed out in two different ways. Using the small resolution the geodesic motion on the resolved conifold remains completely integrable. Instead, in the case of the deformation of the conifold the complete integrability is lost…
We define an index for $\mathfrak{osp}(4^{*}|4)$ superconformal quantum mechanics on a hyperKähler cone. The index is defined on an equivariant symplectic resolution of the cone, which acts as a regulator. We present evidence that the index does not depend on the choice of resolution parameters and encodes information about the spectrum of (semi-) short representations of the superconformal algebra of the unresolved space. In particular, there are two types of multiplet which can be counted exactly using the index. These correspond to holomorphic functions on the cone and to the generators of …
Valley-resolved high harmonics probe symmetry breaking beyond the Dirac cone
Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University（查尔斯大学数学物理学院粒子与核物理研究所）；Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile（智利南方大学物理与数学科学研究所）；Istituto Nazionale di Fisica Nucleare, Bologna branch（意大利国家核物理研究所博洛尼部分所）；Department of Physics, Guangdong Technion-Israel Institute of Technology（广东以色列理工学院物理系）；Guangdong Provincial Key Laboratory of Materials and Technologies for Energy Conversion, Guangdong Technion-Israel Institute of Technology（广东以色列理工学院广东省能源转换材料与技术重点实验室）
