论文标题
ADOMIAN方法和边界CFT_3双重的ADS_4中标量方程的解决方案
Solutions For Scalar Equations in AdS_4 with Adomian Method and Boundary CFT_3 Duals
论文作者
论文摘要
对于在欧几里得大部分中（伪）标量的非线性部分微分方程，是由于ADS_4 x s^7/z_k的11维超重力的截断而引起串联解决方案（在探针近似中有效的方程式），用于M^2 = 4，0，-9/4的三种特殊模式。同时，我们提醒我们，对于偏斜的M2烧烤背景，有类似Higgs（伪）标量的标量，它们使方程式均匀，并提供自发的对称性破坏。然后，随着散装中的设置和解决方案，所有超对称性和均等均已破坏，我们将SO（8）的三个基本表示形式交换，将ABJM的三维边界动作变形与各种相应的SU（4）X U（4）X U（1）X U（1）-Singlet-Singlet由Fermions和Suimient-suemant和Sugars和SUGARS组成的新闻（n），均为New souge（n），（n sugems）（4）调整批量和边界解决方案，并确认状态操作员ADS_4/CFT_3通信。
For a nonlinear partial differential equation for (pseudo)scalars in the bulk of Euclidean AdS_4, arising from a truncation of 11-dimensional supergravity over AdS_4 x S^7/Z_k, we use math tools and in particular Adomian Decomposition Method, with initial data from near the boundary behavior of a special or general solution, although we focus on normalizable modes and Dirichlet boundary condition, to get perturbative series solutions (of the equation valid in probe approximation) for three special modes of m^2=4, 0, -9/4. Meantime, we remind that for the skew-whiffed M2-branes background, there are Higgs-like (pseudo)scalars that make the equation homogeneous and provide spontaneous symmetry breaking. Then, with the setups and solutions in the bulk, where all supersymmetries and parity are broken, we swap the three fundamental representations of SO(8) for gravitino, deform the ABJM-like three-dimensional boundary actions with various corresponding SU(4) x U(1)-singlet operators made of fermions, scalars and SU(N) gauge fields, find new SO(4)-invariant instantons, and finally adjust the bulk and boundary solutions and confirm state-operator AdS_4/CFT_3 correspondence.
