A Review of the Plane-Wave/Sym Duality

Sheikh-Jabbari, M. M.

doi:10.1142/9789812702340_0073

Cited by 12 publications

(33 citation statements)

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“…Integrating out a field can only be done when that field can be assumed to be in the minimum of its effective potential. Indeed, in [52] it is explicitly shown that the Gauge-flation model corresponds to the Chromo-Natural Inflation model with the axion very near the bottom of its potential (X πf ). In terms of the parameters of Chromo-Natural Inflation,…”

Section: Relationship Of Chromo-natural Inflation and Gauge-flationmentioning

confidence: 99%

Gauge-flation trajectories in chromo-natural inflation

2012

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We provide a detailed discussion of the multifield trajectories and inflationary dynamics of the recently proposed model of Chromo-Natural inflation, which allows for slow roll inflation on a steep potential with the aid of classical non-Abelian gauge fields. We show that slow roll inflation can be achieved across a wide range of the parameter space. We demonstrate that Chromo-Natural Inflation includes trajectories that match those found in Gauge-flation and describe how the theories are related.

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Section: Relationship Of Chromo-natural Inflation and Gauge-flationmentioning

confidence: 99%

Gauge-flation trajectories in chromo-natural inflation

2012

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“…There is a twisted Poincaré algebra which provides the symmetry for the case of (18a) while the other case cannot be generated by a twist [25]. In the above, ℓ and λ are deformation parameters of dimension length.…”

Section: A T (2) Symmetry Implies Light-like Noncommutativitymentioning

confidence: 99%

“…preserving translational symmetry only along x + (where ξ and χ are dimensionless deformation parameters). For neither of the above cases there is any twisted Poincaré of the form discussed in [11] to provide these commutators [25]. The case (22b) in the above mentioned cylindrical coordinates x − , ρ, φ takes the familiar form of a quantum (Manin) plane [20] with…”

Section: The Sim (2) Casementioning

confidence: 99%

An arena for model building in the Cohen—Glashow very special relativity

Sheikh-Jabbari

Tureanu

2010

Phys. Atom. Nuclei

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The Cohen-Glashow Very Special Relativity (VSR) algebra [1] is defined as the part of the Lorentz algebra which upon addition of CP or T invariance enhances to the full Lorentz group, plus the space-time translations. We show that noncommutative space-time, in particular noncommutative Moyal plane, with light-like noncommutativity provides a robust mathematical setting for quantum field theories which are VSR invariant and hence set the stage for building VSR invariant particle physics models. In our setting the VSR invariant theories are specified with a single deformation parameter, the noncommutativity scale Λ N C . Preliminary analysis with the available data leads to Λ N C 1 − 10 TeV. This note is prepared for the Proceedings of the G27 Mathematical Physics Conference, Yerevan 2008, and is based on [2].

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“…Moreover, noting that V min = L d−1 R = (ℓR) d/2 involves both the UV character l P and the IR character R one expects the IR/UV mixing phenomenon to show up in the formulation of any theory on this background [14].…”

Section: A Kinematical Realization Of Holographymentioning

confidence: 99%

Inherent holography in fuzzy spaces and an N-tropic approach to the cosmological constant problem

Sheikh-Jabbari

2006

Physics Letters B

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In this letter we show that the noncommutative spaces, and in particular fuzzy spheres, are natural candidates which explicitly exhibit the holography, by noting that the smallest physically accessible volume is much larger that the expected Planckian size. Moreover, we show that fuzzy spheres provide us with a new approach, an "N-tropic" approach, to the cosmological constant problem, though in a Euclidean space-time.

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A Review of the Plane-Wave/Sym Duality

Cited by 12 publications

References 0 publications

Gauge-flation trajectories in chromo-natural inflation

Gauge-flation trajectories in chromo-natural inflation

An arena for model building in the Cohen—Glashow very special relativity

Inherent holography in fuzzy spaces and an N-tropic approach to the cosmological constant problem

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