Data consistency conditions for truncated fanbeam and parallel projections

Abstract 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.

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Data consistency method of heterogeneous power IOT based on hybrid model

ISA Transactions ◽

10.1016/j.isatra.2021.01.056 ◽

2021 ◽

Author(s):

Haoyu Jiang ◽

Kai Chen ◽

Quanbo Ge ◽

Jinqiang Xu ◽

Yingying Fu ◽

...

Keyword(s):

Hybrid Model ◽

Data Consistency ◽

Consistency Method

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String defects, supersymmetry and the Swampland

Journal of High Energy Physics ◽

10.1007/jhep11(2020)125 ◽

2020 ◽

Vol 2020 (11) ◽

Author(s):

Carlo Angelantonj ◽

Quentin Bonnefoy ◽

Cezar Condeescu ◽

Emilian Dudas

Keyword(s):

Supersymmetry Breaking ◽

Dimensional Theory ◽

Consistency Conditions ◽

Tensor Multiplet ◽

Microscopic Origin

Abstract Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges Q∙Q = 0 for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge Q. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.

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