Interacting quantum fields in various charts of anti–de Sitter spacetime

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.

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Wavefunctions in dS/CFT revisited: principal series and double-trace deformations

Journal of High Energy Physics ◽

10.1007/jhep04(2021)166 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Hiroshi Isono ◽

Hoiki Madison Liu ◽

Toshifumi Noumi

Keyword(s):

Principal Series ◽

Light Fields ◽

Quadratic Term ◽

De Sitter Spacetime ◽

Cosmological Horizon ◽

De Sitter ◽

Complementary Series ◽

Point Function ◽

Sitter Spacetime ◽

Simple Scaling

Abstract We study wavefunctions of heavy scalars on de Sitter spacetime and their implications to dS/CFT correspondence. In contrast to light fields in the complementary series, heavy fields in the principal series oscillate outside the cosmological horizon. As a consequence, the quadratic term in the wavefunction does not follow a simple scaling and so it is hard to identify it with a conformal two-point function. In this paper, we demonstrate that it should be interpreted as a two-point function on a cyclic RG flow which is obtained by double-trace deformations of the dual CFT. This is analogous to the situation in nonrelativistic AdS/CFT with a bulk scalar whose mass squared is below the Breitenlohner-Freedman (BF) bound. We also provide a new dS/CFT dictionary relating de Sitter two-point functions and conformal two-point functions in the would-be dual CFT.

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Blow-up results for semilinear damped wave equations in Einstein–de Sitter spacetime

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01494-x ◽

2021 ◽

Vol 72 (2) ◽

Author(s):

Alessandro Palmieri

Keyword(s):

Wave Equations ◽

Blow Up ◽

De Sitter Spacetime ◽

De Sitter ◽

Sitter Spacetime

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Relationship between Bondi–Sachs quantities and source of gravitational radiation in asymptotically de Sitter spacetime

International Journal of Modern Physics D ◽

10.1142/s0218271818500463 ◽

2018 ◽

Vol 27 (04) ◽

pp. 1850046 ◽

Cited By ~ 4

Author(s):

Xiaokai He ◽

Jiliang Jing ◽

Zhoujian Cao

Keyword(s):

Cosmological Constant ◽

Gravitational Wave ◽

Gravitational Radiation ◽

The Other ◽

Perturbation Approach ◽

De Sitter Spacetime ◽

De Sitter ◽

Positive Cosmological Constant ◽

Sitter Spacetime ◽

Explicit Expressions

Gravitational radiation plays an important role in astrophysics. Based on the fact that our universe is expanding, the gravitational radiation when a positive cosmological constant is presented has been studied along with two different ways recently, one is the Bondi–Sachs (BS) framework in which the result is shown by BS quantities in the asymptotic null structure, the other is the perturbation approach in which the result is presented by the quadrupoles of source. Therefore, it is worth to interpret the quantities in asymptotic null structure in terms of the information of the source. In this paper, we investigate this problem and find the explicit expressions of BS quantities in terms of the quadrupoles of source in asymptotically de Sitter spacetime. We also estimate how far away the source is, the cosmological constant may affect the detection of the gravitational wave.

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