Disk, interval, point: on constructions of quantum field theories with holomorphic action functionals

Nonlinear Gravitons, Null Geodesics, and Holomorphic Disks

We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature (++--) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S^2 x S^2, there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in CP_3 with boundary on some totally real embedding of RP^3 into CP_3. An interesting sub-class of these conformal structures are represen…

纯旋量形式下三个闭弦在Dp膜上的散射

Scattering three closed strings off a Dp-brane in pure spinor formalism

本文在纯旋量形式下计算三个闭弦在Dp膜上的圆盘振幅，通过引入单值相位解耦全纯与反全纯坐标，将其表达为开超弦六点振幅，并给出低能展开及任意闭弦数的一般结构。

关联圆盘、旋转涡旋与增广曲线的指数网络

Linking disks, spinning vortices and exponential networks of augmentation curves

提出开拓扑弦结-箭筒对应的镜像推导，通过M2膜全纯圆盘与3d-3d对偶QFT中BPS扭结涡旋的联系，揭示全纯圆盘镜像于增广曲线校准1-链且其交集编码边界链环性质。

$A_\infty$ relations in orientor calculus on moduli of stable disk maps

Let $L\subset X$ be a not necessarily orientable relatively $Pin$ Lagrangian submanifold in a symplectic manifold $X$. Evaluation maps of moduli spaces of $J$-holomorphic disks with boundary in $L$ may not be relatively orientable. To deal with this problem, we introduce the notion of an orientor. Interactions between the natural operations on orientors are governed by orientor calculus. Orientor calculus gives rise to a family of orientors on moduli spaces of $J$-holomorphic stable disk maps with boundary in $L$ that satisfy natural relations. In a sequel, we use these orientors and relations…

Disk enumeration on the quintic 3-fold

Holomorphic disk invariants with boundary in the real Lagrangian of a quintic 3-fold are calculated by localization and proven mirror transforms. A careful discussion of the underlying virtual intersection theory is included. The generating function for the disk invariants is shown to satisfy an extension of the Picard-Fuchs differential equations associated to the mirror quintic. The Ooguri-Vafa multiple cover formula is used to define virtually enumerative disk invariants. The results may also be viewed as providing a virtual enumeration of real rational curves on the quintic.