Higgs versus matter in the heterotic landscape

Buchmüller, W.; Schmidt, Jonas

doi:10.1016/j.nuclphysb.2008.09.011

Cited by 21 publications

(31 citation statements)

References 32 publications

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“…Hence, the string selection rules are not independent and one could trade off, for example, one of the R symmetries. That is, as also observed in [13], some of the symmetries are redundant; these redundancies can be eliminated with the methods discussed in [14].…”

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confidence: 75%

A note on discrete R symmetries in Z6–II orbifolds with Wilson lines

Nilles¹,

Ramos‐Sánchez²,

Ratz³

et al. 2013

Physics Letters B

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confidence: 75%

A note on discrete R symmetries in Z6–II orbifolds with Wilson lines

Nilles¹,

Ramos‐Sánchez²,

Ratz³

et al. 2013

Physics Letters B

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“…That is, the analysis of potentially realistic string models is a non-trivial task since a given model exhibits a plethora of vacua with very different features. The role of discrete symmetries in identifying and analyzing such vacua has been stressed recently [17]. One of these symmetries is matter parity, which has been successfully embedded in string theory [16].…”

Section: Introductionmentioning

confidence: 99%

String-derived MSSM vacua with residual R symmetries

et al. 2011

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Recently it was shown that there is a unique R 4 symmetry for the MSSM which allows the Yukawa couplings and dimension five neutrino mass operator, forbids the µ term and commutes with SO(10). This R 4 symmetry contains matter parity as a subgroup and forbids dimension four and five proton decay operators. We show how to construct string vacua with discrete R symmetries in general and this symmetry in particular, and present an explicit example which exhibits the exact MSSM spectrum, the R 4 symmetry as well as other desired features such as gauge-top unification. We introduce the Hilbert basis method for determining all D-flat configurations and efficient algorithms for identifying field configurations with a desired residual symmetry. These methods are used in an explicit example, in which we describe in detail how to construct a supersymmetric vacuum configuration with the phenomenologically attractive R 4 symmetry. At the perturbative level, this is a supersymmetric Minkowski vacuum in which almost all singlet fields (moduli) are fixed.

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“…Moreover, it has recently been argued that discrete symmetries appear abundantly in string model constructions [15][16][17], with important applications for particle physics model building [18][19][20][21][22]. We are thus in a situation that P 6 could originate from a string model as consistent UV completion and that such a symmetry is compatible with local grand unification.…”

Section: Introductionmentioning

confidence: 99%