Bootstrap bounds on closed Einstein manifolds
Bootstrap bounds on closed Einstein manifolds
复制标题
闭合爱因斯坦流形上的自举界限
DOI：
10.1007/jhep10(2020)069
复制
发表时间：
2020
影响因子：
5.4
通讯作者：
Kurt Hinterbichler
中科院分区：
文献类型：
--
作者：
James Bonifacio;Kurt Hinterbichler
一个紧致的黎曼流形与流形上各种拉普拉斯算子的本征值和相应本征模的三重重叠积分给出的几何数据相关联。这种几何数据必须满足某些一致性条件，这些条件来自于结合性和本征模的完备性。我们表明，它是可能的，以获得非平凡的边界封闭爱因斯坦流形的几何数据，通过使用半定规划研究这些一致性条件，在类比共形场理论的共形引导边界。这些自举边界转化为约束的树级质量和立方耦合的卡鲁扎-克莱因模式的理论与紧凑的额外维度。我们表明，在某些情况下，已知的流形的界限饱和。
A compact Riemannian manifold is associated with geometric data given by the eigenvalues of various Laplacian operators on the manifold and the triple overlap integrals of the corresponding eigenmodes. This geometric data must satisfy certain consistency conditions that follow from associativity and the completeness of eigenmodes. We show that it is possible to obtain nontrivial bounds on the geometric data of closed Einstein manifolds by using semidefinite programming to study these consistency conditions, in analogy to the conformal bootstrap bounds on conformal field theories. These bootstrap bounds translate to constraints on the tree-level masses and cubic couplings of Kaluza-Klein modes in theories with compact extra dimensions. We show that in some cases the bounds are saturated by known manifolds.
影响因子：
5
作者：
Chivukula, R. Sekhar;Foren, Dennis;Mohan, Kirtimaan A.;Sengupta, Dipan;Simmons, Elizabeth H.
通讯作者：
Simmons, Elizabeth H.
大规模自旋 2 Kaluza-Klein 弹性散射振幅的求和规则
影响因子：
5
作者：
Chivukula, R. Sekhar;Foren, Dennis;Mohan, Kirtimaan A.;Sengupta, Dipan;Simmons, Elizabeth H.
通讯作者：
Simmons, Elizabeth H.