We study several aspects of generalized Janus configuration, which includes a theta term. We investigate the vacuum structure of the theory and find that unlike the Janus configuration without theta term there is no nontrivial vacuum. We also discuss BPS soliton configuration both by supersymmetry analysis and from energy functional. The half BPS configurations could be realized by introducing transverse (p,q)-strings in original brane configuration corresponding to generalized Janus configuration. It turns out the BPS soliton could be taken as modified dyon. We discuss the solution of half BPS equations for the sharp interface case. Moreover we construct less supersymmetric Janus configuration with theta term.
We study the supersymmetric partition function of a 2d linear $σ$-model whose target space is a torus with a complex structure that varies along one worldsheet direction and a Kähler modulus that varies along the other. This setup is inspired by the dimensional reduction of a Janus configuration of 4d $\mathcal{N}=4$ $U(1)$ Super-Yang-Mills theory compactified on a mapping torus ($T^2$ fibered over $S^1$) times a circle with an $SL(2,\mathbb{Z})$ duality wall inserted on $S^1$, but our setup has minimal supersymmetry. The partition function depends on two independent elements of $SL(2,\mathbb{…
We consider evaporation of the Schwarzschild black hole and note that island configurations do not provide a bounded entanglement entropy. The same remark is valid also for some other static black holes. A proposal for improving the situation is discussed
We continue the study of positive geometries underlying the {\it Grassmannian string integrals}, which are a class of "stringy canonical forms", or stringy integrals, over the positive Grassmannian mod torus action, $G_+(k,n)/T$. The leading order of any such stringy integral is given by the canonical function of a polytope, which can be obtained using the Minkowski sum of the Newton polytopes for the regulators of the integral, or equivalently given by the so-called scattering-equation map. The canonical function of the polytopes for Grassmannian string integrals, or the volume of their dual …
Notes on worldvolume supersymmetries for D-branes on AdS_5 X S^5 background
我们在AdS $_5\times$ S $^5$的背景下重新讨论了1/2-BPS D-膜。基于协变开弦描述对1/2-BPS D-膜的分类，我们考虑了AdS $_5\times$ S $^5$背景上的各种没有世界体积通量的纯静态D-膜.在协变的$κ$对称固定条件下，我们研究了D膜世界体积上哪部分时空超对称性保持不变，并得到了世界体积涨落场中与之相关的世界体积超对称性到首阶的变换规则.结果表明，对于没有世界体积通量的纯静态位形，只有AdS型D-膜是1/2-BPS的，其中AdS径向是世界体积坐标之一.
