De Sitter Space in Supergravity and M Theory

By Christopher M. Hull. 2001

133 citations recorded by the source corpus.

Two ways in which de Sitter space can arise in supergravity theories are discussed. In the first, it arises as a solution of a conventional supergravity, in which case it necessarily has no Killing spinors. For example, de Sitter space can arise as a solution of N = 8 gauged supergravities in four or five dimensions. These lift to solutions of 11-dimensional supergravity or D = 10 IIB supergravity which are warped products of de Sitter space and non-compact spaces of negative curvature. In the second way, de Sitter space can arise as a supersymmetric solution of an unconventional supergravity theory, which typically has some kinetic terms with the ``wrong'' sign; such solutions are invariant under a de Sitter supergroup. These solutions lift to supersymmetric solutions of unconventional supergravities in D = 10 or D = 11, which nonetheless arise as field theory limits of theories that can be obtained from M-theory by timelike T-dualities and related dualities. Brane solutions interpolate between these solutions and flat space and lead to a holographic duality between theories in de Sitter vacua and euclidean conformal field theories. Previous results are reviewed and generalised, and discussion is included of Kaluza-Klein theory with non-compact internal spaces, brane and cosmological solutions, and holography on de Sitter spaces and product spaces.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1de22c50ae9b9a2b955dcdc367eedd1be3c0974e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Inflation, holography, and the choice of vacuum in de Sitter space (2002, background): “An incomplete list of references is given by [32-55].”
String theory and hybrid inflation / acceleration (2001, background): “There are well known problems in incorporating de Sitter space and cosmology into the framework of M/String theory; see the most recent discussions in [28, 29, 30].”
De Sitter Space In Non-Critical String Theory (2002, unknown): “1 However there are a number of interesting constructions which may not have been fully exploited [2-8].”
S brane solutions in supergravity theories (2002, background): “Euclidean branes were first constructed in [18, 19] in type II theories which are non-unitary theories obtained by timelike T-duality from the standard type II theories.”
On a class of stable, traversable Lorentzian wormholes in classical general relativity (2002, background): “As mentioned, they have been already shown to allow wormhole solutions [6, 7, 9], they appear in certain models of inflation [3], they have been proposed as dark energy candidates [10], and they also appear in certain unconventional supergravity theories which admit de Sitter solutions [11].”
Cosmological evolution of the rolling tachyon (2002, background): “The possibility of cosmic acceleration arises from the positive potential V (T ) and should be contrasted with the situation in pure supergravity theories for which the Strong Energy Condition holds and cosmic acceleration is not possible [9, 10], unless the internal space is non-compact [12, 13].”
'Special geometry of Euclidean supersymmetry I: Vector multiplets' (2003, background): “Particular examples are the type II string theories introduced in [12].”
The dS/CFT Correspondence and the Big Smash (2001, background): “There are hints that this might indeed be motivated by string theory, as for example in Hull’s [22] approach to embedding deSitter space in M-theory (where kinetic terms with the “wrong” sign arise), but there are obvious difficulties with such an approach.”