D=11 Supergravity

Castellani, Leonardo; Auria, Riccardo D’; Fré, Pietro

doi:10.1142/9789814542388_0025

Cited by 52 publications

(22 citation statements)

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“…The volume, Journal of High Energy Physics, Gravitation and Cosmology 3 V , was determined from the transition temperature and has a value of 0.267 m 3 . Substituting all this into Equation (3)(4)(5)(6)(7)(8)(9)(10)(11) gives the result obtained earlier, namely that 31 4 4…”

Section: Pilot Journal Of High Energy Physics Gravitation and Cosmentioning

confidence: 59%

“…We check our results by verifying our energy balance equation, Equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19). Equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19) reads for 4 n = : , always equals n S T . This is apparent in Equation (3-10), on both left and right hand sides, when evaluating a sum of the first two terms and comparing with the third term.…”

Section: Pilot Journal Of High Energy Physics Gravitation and Cosmentioning

confidence: 93%

“…The quantities, n U and n S , refer to the internal energy and entropy in n-spatial dimensions, and we notice that these quantities do not depend on the value of "n" as far as dimensional units are concerned. We can substitute the dimensionalities specified above into Equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12) to show that the Equation (2-12) is, indeed, dimensionally correct.…”

Section: The General Expression Formentioning

confidence: 99%

“…and latent heat, L, is a linear relation with an increase in L leading to an increase in 4 V . See Equation (3)(4)(5)(6)(7)(8)(9)(10)(11)(12), or what is equivalent, Equation (3)(4)(5)(6)(7)(8)(9)(10)(11). A graph for 4 3…”

Section: Inflation As a N = 4 To N = 3 Phase Transitionmentioning

confidence: 99%

“…Our motivation for studying this problem is three-fold. First, it is of general theoretical interest for compactification and Kaluza-Klein theories [5]- [10].…”

Section: Introductionmentioning

confidence: 99%

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A New Type of Phase Transition Based on the Clausius-Clapeyron Relation Involving a Change in Spatial Dimension

Pilot¹

2019

JHEPGC

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Section: Pilot Journal Of High Energy Physics Gravitation and Cosmentioning

confidence: 59%

Section: Pilot Journal Of High Energy Physics Gravitation and Cosmentioning

confidence: 93%

Section: The General Expression Formentioning

confidence: 99%

Section: Inflation As a N = 4 To N = 3 Phase Transitionmentioning

confidence: 99%

“…Our motivation for studying this problem is three-fold. First, it is of general theoretical interest for compactification and Kaluza-Klein theories [5]- [10].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A New Type of Phase Transition Based on the Clausius-Clapeyron Relation Involving a Change in Spatial Dimension

Pilot¹

2019

JHEPGC

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An SL(2,ℝ)‐covariant, first order, κ‐supersymmetric action for the D5‐brane

Fré

Modesto

2005

Fortschritte der Physik

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The new first order, rheonomic, κ-supersymmetric formalism recently introduced by us for the world-volume action of the D3 brane is extended to the case of D5 branes. This extension requires the dual formulation of the Free Differential Algebra of type IIB supergravity in terms of 6-form gauge potentials which was so far missing and is given here. Furthermore relying on our new approach we are able to write the D5 world volume action in a manifestly SL(2, R) covariant form. This is important in order to solve the outstanding problem of finding the appropriate boundary actions of D3-branes on smooth ALE manifolds with twisted fields. The application of our results to this problem is however postponed to a subsequent publication.

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Inflation and integrable one‐field cosmologies embedded in rheonomic supergravity

Fré

Сорин

2013

Fortschritte der Physik

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In this paper we show that the new approach to the embedding of the inflationary potentials into supergravity, presented in a quite recent paper [11] of Ferrara, Kallosh, Linde and Porrati can be formulated within the framework of standard matter coupled supergravity, without the use of the new minimal auxiliary set and of conformal compensators. The only condition is the existence of a translational Peccei Quinn isometry of the scalar Kähler manifold. We suggest that this embedding strategy based on a nilpotent gauging amounts to a profound Copernican Revolution. The properties of the inflaton potential are encoded in the geometry of some homogeneous one-dimensional Kähler manifolds that now should be regarded as the primary object, possibly providing a link with microscopic physics. We present a simple and elegant formula for the curvature of the Kähler manifold in terms of the potential. Most relevant consequence of the new strategy is that all the integrable potentials quite recently classified in a paper [7] that we have coauthored, are automatically embedded into supergravity and their associated Kahler manifolds demand urgent study. In particular one integrable potential that provides the best fit to PLANCK data seems to have inspiring geometrical properties deserving further study.

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D=11 Supergravity

Cited by 52 publications

References 0 publications

A New Type of Phase Transition Based on the Clausius-Clapeyron Relation Involving a Change in Spatial Dimension

A New Type of Phase Transition Based on the Clausius-Clapeyron Relation Involving a Change in Spatial Dimension

An SL(2,ℝ)‐covariant, first order, κ‐supersymmetric action for the D5‐brane

Inflation and integrable one‐field cosmologies embedded in rheonomic supergravity

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