2006
DOI: 10.1088/1126-6708/2006/01/129
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R symmetries in the landscape

Abstract: In the landscape, states with R symmetries at the classical level form a distinct branch, with a potentially interesting phenomenology. Some preliminary analyses suggested that the population of these states would be significantly suppressed. We survey orientifolds of IIB theories compactified on Calabi-Yau spaces based on vanishing polynomials in weighted projective spaces, and find that the suppression is quite substantial. On the other hand, we find that a Z 2 R-parity is a common feature in the landscape. … Show more

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Cited by 57 publications
(64 citation statements)
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“…Extra discrete symmetries are rare in the String Landscape [21], so one cannot justify the use of symmetry arguments to eliminate these terms, without proving that the probability distribution for meta-stable states is highly peaked on symmetric points. No such argument is known.…”
Section: Environmental Selection Of Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…Extra discrete symmetries are rare in the String Landscape [21], so one cannot justify the use of symmetry arguments to eliminate these terms, without proving that the probability distribution for meta-stable states is highly peaked on symmetric points. No such argument is known.…”
Section: Environmental Selection Of Parametersmentioning
confidence: 99%
“…In the equations of specific SUGRA compactifications, the condition of discrete R symmetry has many fewer solutions than the equations D i W = 0 [21], essentially because most of the fluxes that give rise to the huge multiplicity of solutions, also break R symmetry. Furthermore, all known solutions of this type have moduli, at least the parameter that justifies the classical approximation.…”
Section: L' Envoimentioning
confidence: 99%
“…One may identify a discrete R-symmetry to one of the geometrical symmetries of the compact manifold when compactifying string theory from 10 to 4 dimensions. In the framework of flux compactifications, N X ≤ N Y can be easily arranged in many models with a low energy effective SUGRA description, producing a huge landscape of SUSY vacua with zero cosmological constants at tree level [21]. SUSY is then broken dynamically on these vacua through non-perturbative corrections to generate an exponentially small scale.…”
Section: Model Building On Susy Breaking and Susy Vacuamentioning
confidence: 99%
“…Such symmetries often arise at special points in the moduli spaces of critical string constructions. But in the framework of the flux landscape, discrete symmetries would seem to be rare [14]. The problem is that the vast number of states purported to exist within the landscape arise because of the existence of a large number of fluxes which can take a large number of values.…”
Section: States Exhibiting (Discrete) Symmetriesmentioning
confidence: 99%