Duality invariant cosmology to all orders in $\alpha$'

Hohm, Olaf; Zwiebach, Barton

doi:10.1103/PhysRevD.100.126011

Duality invariant cosmology to all orders in $\alpha$ '

Olaf Hohm
(
- Humboldt U., Berlin
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

May 16, 2019

21 pages

Published in:

Phys.Rev.D 100 (2019) 12, 126011

Published: Dec 10, 2019

e-Print:

1905.06963 [hep-th]

DOI:

10.1103/PhysRevD.100.126011

Report number:

MIT-CTP-5119,
HU-EP-19/07

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Abstract: (APS)

While the classification of α′ corrections of string inspired effective theories remains an unsolved problem, we show how to classify duality invariant α′ corrections for purely time-dependent (cosmological) backgrounds. We determine the most general duality invariant theory to all orders in α′ for the metric, b-field, and dilaton. The resulting Friedmann equations are studied when the spatial metric is a time-dependent scale factor times the Euclidean metric and the b-field vanishes. These equations can be integrated perturbatively to any order in α′. We construct nonperturbative solutions and display duality invariant theories featuring string-frame de Sitter vacua.

Note:

34 pages, v2: refs. added

String theory, quantum gravity, gauge/gravity duality
duality: invariance
metric: Euclidean
solution: nonperturbative
vacuum state: de Sitter
string: correction
time dependence
Friedman model
dilaton
effective field theory

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