scholarly journals A clockwork solution to the doublet-triplet splitting problem

2021 ◽  
Vol 813 ◽  
pp. 136039
Author(s):  
Gero von Gersdorff
Keyword(s):  
Triplet Splitting ◽  
Splitting Problem

scholarly journals SUPERSYMMETRIC UNIFICATION AND R SYMMETRIES

2012 ◽  
Vol 27 (40) ◽  
pp. 1230044 ◽  
Author(s):  
MU-CHUN CHEN ◽  
MAXIMILIAN FALLBACHER ◽  
MICHAEL RATZ
Keyword(s):  
Higgs Mass ◽  
Mass Term ◽  
Four Dimensions ◽  
Grand Unified Theories ◽  
Triplet Splitting ◽  
Fermion Masses ◽  
Higher Dimensional ◽  
Splitting Problem ◽  
Order Four

We review the role of R symmetries in models of supersymmetric unification in four and more dimensions, and in string theory. We show that, if one demands anomaly freedom and fermion masses, only R symmetries can forbid the supersymmetric Higgs mass term μ. We then review the proof that R symmetries are not available in conventional grand unified theories (GUTs) and argue that this prevents natural solutions to the doublet–triplet splitting problem in four dimensions. On the other hand, higher-dimensional GUTs do not suffer from this problem. We briefly comment on an explicit string-derived model in which the μ and dimension-5 proton decay problems are solved simultaneously by an order four discrete R symmetry. We also comment on the higher-dimensional origin of this symmetry.

Back to the doublet-triplet splitting problem

1993 ◽  
Vol 312 (1-2) ◽  
pp. 137-142 ◽  
Author(s):  
R. Barbieri ◽  
G. Dvali ◽  
M. Moretti
Keyword(s):  
Triplet Splitting ◽  
Splitting Problem

scholarly journals Entanglement entropy in cubic gravitational theories

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Elena Cáceres ◽  
Rodrigo Castillo Vásquez ◽  
Alejandro Vilar López
Keyword(s):  
Entanglement Entropy ◽  
Gravitational Theory ◽  
Riemann Tensor ◽  
Holographic Entanglement Entropy ◽  
Gravitational Theories ◽  
Entropy Functional ◽  
Wide Range ◽  
Splitting Problem ◽  
Range Of Values

Abstract We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called splitting problem manifests itself, and we explicitly show that the two common splittings present in the literature — minimal and non-minimal — produce different functionals. We apply our results to the particular examples of a boundary disk and a boundary strip in a state dual to 4- dimensional Poincaré AdS in Einsteinian Cubic Gravity, obtaining the bulk entanglement surface for both functionals and finding that causal wedge inclusion is respected for both splittings and a wide range of values of the cubic coupling.

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