scholarly journals Nonlinear Laplace equation, de Sitter vacua, and information geometry

2005 ◽  
Vol 71 (12) ◽  
Author(s):  
Farhang Loran
Keyword(s):  
Laplace Equation ◽  
Information Geometry ◽  
De Sitter ◽  
De Sitter Vacua

scholarly journals FUBINI VACUA AS A CLASSICAL DE SITTER VACUA

2007 ◽  
Vol 22 (29) ◽  
pp. 2217-2235 ◽  
Author(s):  
F. LORAN
Keyword(s):  
Einstein Field Equation ◽  
Minkowski Spacetime ◽  
Vacuum State ◽  
Information Geometry ◽  
Conformal Group ◽  
De Sitter ◽  
Frw Universe ◽  
Scale Invariant ◽  
Scalar Theory ◽  
De Sitter Vacua

The Fubini's idea to introduce a fundamental scale of hadron phenomena by means of dilatation non-invariant vacuum state in the framework of a scale invariant Lagrangian field theory is recalled. The Fubini vacua is invariant under the de Sitter subgroup of the full conformal group. We obtain a finite entropy for the quantum state corresponding to the classical Fubini vacua in Euclidean spacetime resembling the entropy of the de Sitter vacua. In Minkowski spacetime it is shown that the Fubini vacua is mainly a bath of radiation with Rayleigh–Jeans distribution for the low energy radiation. In four dimensions, the critical scalar theory is shown to be equivalent to the Einstein field equation in the ansatz of conformally flat metrics and to the SU(2) Yang–Mills theory in the 't Hooft ansatz. In D dimensions, the Hitchin formula for the information geometry metric of the moduli space of instantons is used to obtain the information geometry of the free-parameter space of the Fubini vacua which is shown to be a (D+1)-dimensional AdS space. Considering the Fubini vacua as a de Sitter vacua, the corresponding cosmological constant is shown to be given by the coupling constant of the critical scalar theory. In Minkowski spacetime it is shown that the Fubini vacua are equivalent to an open FRW universe.

scholarly journals Unimodular vs nilpotent superfield approach to pure dS supergravity

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sukruti Bansal ◽  
Silvia Nagy ◽  
Antonio Padilla ◽  
Ivonne Zavala
Keyword(s):  
String Theory ◽  
General Framework ◽  
Recent Progress ◽  
High Energy ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
New Approach ◽  
Sitter Spacetime ◽  
Novel Approach ◽  
De Sitter Vacua

Abstract Recent progress in understanding de Sitter spacetime in supergravity and string theory has led to the development of a four dimensional supergravity with spontaneously broken supersymmetry allowing for de Sitter vacua, also called de Sitter supergravity. One approach makes use of constrained (nilpotent) superfields, while an alternative one couples supergravity to a locally supersymmetric generalization of the Volkov-Akulov goldstino action. These two approaches have been shown to give rise to the same 4D action. A novel approach to de Sitter vacua in supergravity involves the generalisation of unimodular gravity to supergravity using a super-Stückelberg mechanism. In this paper, we make a connection between this new approach and the previous two which are in the context of nilpotent superfields and the goldstino brane. We show that upon appropriate field redefinitions, the 4D actions match up to the cubic order in the fields. This points at the possible existence of a more general framework to obtain de Sitter spacetimes from high-energy theories.

scholarly journals Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ignatios Antoniadis ◽  
Yifan Chen ◽  
George K. Leontaris
Keyword(s):  
String Theory ◽  
De Sitter ◽  
De Sitter Vacua

scholarly journals de Sitter vacua in N=8 supergravity and slow-roll conditions

2013 ◽  
Vol 718 (3) ◽  
pp. 1132-1136 ◽  
Author(s):  
G. DallʼAgata ◽  
G. Inverso
Keyword(s):  
De Sitter ◽  
Slow Roll ◽  
De Sitter Vacua

scholarly journals Cosmological model favored by the holographic principle

2016 ◽  
Vol 41 ◽  
pp. 1660127
Author(s):  
Irina Dymnikova ◽  
Anna Dobosz ◽  
Bożena Sołtysek
Keyword(s):  
Cosmological Model ◽  
Cosmological Constant ◽  
Space Time ◽  
Holographic Principle ◽  
Einstein Equations ◽  
Energy Tensor ◽  
De Sitter ◽  
Quantum Evaporation ◽  
Stress Energy ◽  
De Sitter Vacua

We present a regular spherically symmetric cosmological model of the Lemaitre class distinguished by the holographic principle as the thermodynamically stable end-point of quantum evaporation of the cosmological horizon. A source term in the Einstein equations connects smoothly two de Sitter vacua with different values of cosmological constant and corresponds to anisotropic vacuum dark fluid defined by symmetry of its stress-energy tensor which is invariant under the radial boosts. Global structure of space-time is the same as for the de Sitter space-time. Cosmological evolution goes from a big initial value of the cosmological constant towards its presently observed value.

scholarly journals Gauge R-symmetry and de Sitter vacua in supergravity and string theory

2014 ◽  
Vol 886 ◽  
pp. 43-62 ◽  
Author(s):  
Ignatios Antoniadis ◽  
Rob Knoops
Keyword(s):  
String Theory ◽  
De Sitter ◽  
De Sitter Vacua ◽  
R Symmetry

scholarly journals A new class of de Sitter vacua in type IIB large volume compactifications

2017 ◽  
Vol 2017 (10) ◽  
Author(s):  
Diego Gallego ◽  
M. C. David Marsh ◽  
Bert Vercnocke ◽  
Timm Wrase
Keyword(s):  
Large Volume ◽  
De Sitter ◽  
New Class ◽  
De Sitter Vacua

scholarly journals Simple metastable de Sitter vacua in N=2 gauged supergravity

2013 ◽  
Vol 2013 (4) ◽  
Author(s):  
Francesca Catino ◽  
Claudio A. Scrucca ◽  
Paul Smyth
Keyword(s):  
De Sitter ◽  
De Sitter Vacua
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