论文标题
天体全息图遇到扭曲全息图：手性相关器的4D振幅
Celestial holography meets twisted holography: 4d amplitudes from chiral correlators
论文作者
论文摘要
我们提出了一个新程序，用于计算四维规定散射幅度的某些集成，我们称之为\ textit {form factor intempland}，从扭曲器空间上的6D全态理论开始。我们表明，表格因子积分可以表示为1的产物总和。）2D手性代数的相关因子，与最近在天体全息计划中未透明的渐近对称性代数相关的代数和2。我们证明，手性代数的保形块与4D的本地运营商一对一。我们使用此两次射击来恢复Parke-Taylor公式，CSW公式和某些单环散射幅度。一路上，我们解释并得出了天体全息图的各个方面，并结合了扭曲全息程序（例如Koszul二元性）的技术。这种观点使我们能够轻松有效地恢复最近从天体中从无质量胶子和重力群的散射幅度中提取的渐近对称性的无限二维手性代数。我们还对手性代数进行了一些简单的单循环校正，并得出了三维的体积理论，这些代数为此提供了边界本地操作员的代数。
We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the \textit{form factor integrand}, starting from 6d holomorphic theories on twistor space. We show that the form factor integrands can be expressed as sums of products of 1.) correlators of a 2d chiral algebra, related to the algebra of asymptotic symmetries uncovered recently in the celestial holography program, and 2.) OPE coefficients of a 4d non-unitary CFT. We prove that conformal blocks of the chiral algebras are in one-to-one correspondence with local operators in 4d. We use this bijection to recover the Parke-Taylor formula, the CSW formula, and certain one-loop scattering amplitudes. Along the way, we explain and derive various aspects of celestial holography, incorporating techniques from the twisted holography program such as Koszul duality. This perspective allows us to easily and efficiently recover the infinite-dimensional chiral algebras of asymptotic symmetries recently extracted from scattering amplitudes of massless gluons and gravitons in the celestial basis. We also compute some simple one-loop corrections to the chiral algebras and derive the three-dimensional bulk theories for which these 2d algebras furnish an algebra of boundary local operators.
