An <math display="inline"><msup><mi>α</mi><mo>′</mo></msup></math>-complete theory of cosmology and its tensionless limit - INSPIRE

DataBETA

An $α^{'}$ -complete theory of cosmology and its tensionless limit

Tomas Codina
(
- Humboldt U., Berlin
)
,
Olaf Hohm
(
- Humboldt U., Berlin
)
,
Diego Marques
(
- Buenos Aires, IAFE
)

Nov 17, 2022

39 pages

Published in:

Phys.Rev.D 107 (2023) 4, 046023

Published: Feb 15, 2023

e-Print:

2211.09757 [hep-th]

DOI:

10.1103/PhysRevD.107.046023 (publication)

View in:

ADS Abstract Service

reference search7 citations

Citations per year

Abstract: (APS)

We explore the exactly duality invariant higher-derivative extension of double field theory due to Hohm, Siegel, and Zwiebach specialized to cosmological backgrounds. Despite featuring a finite number of derivatives in its original formulation, this theory encodes infinitely many

α^{'}

corrections for metric,

B

-field, and dilaton, which are obtained upon integrating out certain extra fields. We perform a cosmological reduction with fields depending only on time and show consistency of this truncation. We compute the

α^{' 4}

coefficients of the general cosmological classification. As a possible model for how to deal with all

α^{'}

corrections in string theory we give a two-derivative reformulation in which the extra fields are kept. The corresponding Friedmann equations are then ordinary second-order differential equations that capture all

α^{'}

corrections. We explore the tensionless limit

α^{'} \to \infty

, which features string frame de Sitter vacua, and we set up the perturbation theory in

\frac{1}{α^{'}}

.

Note:

38 pages

duality: invariance
derivative: high
vacuum state: de Sitter
differential equations
capture
string model
string
dilaton
perturbation theory
background

References(38)

Figures(0)

[1]

Superstrings in the Early Universe

Robert H. Brandenberger
(
- Brown U.
)
,
C. Vafa
(
- Harvard U.
)

- Nucl.Phys.B 316 (1989) 391-410
•
DOI:
- 10.1016/0550-3213(89)90037-0

[2]

Elements of string cosmology

Arkady A. Tseytlin
(
- Johns Hopkins U.
)
,
C. Vafa
(
- Harvard U.
)

- Nucl.Phys.B 372 (1992) 443-466
•
e-Print:
- hep-th/9109048
•
DOI:
- 10.1016/0550-3213(92)90327-8

[3]

Scale factor duality for classical and quantum strings

G. Veneziano
(
- CERN
)

- Phys.Lett.B 265 (1991) 287-294
•
DOI:
- 10.1016/0370-2693(91)90055-U

[4]

Towards a nonsingular pre - big bang cosmology

M. Gasperini
(
- CERN
)
,
M. Maggiore
(
- INFN, Pisa and
- Pisa U.
)
,
G. Veneziano
(
- CERN
)

- Nucl.Phys.B 494 (1997) 315-330
•
e-Print:
- hep-th/9611039
•
DOI:
- 10.1016/S0550-3213(97)00149-1

[5]

The Pre - big bang scenario in string cosmology

M. Gasperini
(
- Bari U. and
- INFN, Bari
)
,
G. Veneziano
(
- CERN
)

- Phys.Rept. 373 (2003) 1-212
•
e-Print:
- hep-th/0207130
•
DOI:
- 10.1016/S0370-1573(02)00389-7

[6]

String cosmology backgrounds from classical string geometry

- Phys.Rev.D 103 (2021) 4, 043540
•
e-Print:
- 2005.08324
•
DOI:
- 10.1103/PhysRevD.103.043540

[7]

Solution of the Size and Horizon Problems from Classical String Geometry

Heliudson Bernardo
(
- McGill U.
)
,
Robert Brandenberger
(
- McGill U.
)
,
Guilherme Franzmann
(
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U. (main)
)

- JHEP 10 (2020) 155
•
e-Print:
- 2007.14096
•
DOI:
- 10.1007/JHEP10(2020)155

[8]

New non-perturbative de Sitter vacua in $\alpha'$ -complete cosmology

Carmen A. Núñez
(
- Buenos Aires, CONICET and
- Buenos Aires U.
)
,
Facundo Emanuel Rost
(
- Buenos Aires, CONICET and
- Buenos Aires U.
)

- JHEP 03 (2021) 007
•
e-Print:
- 2011.10091
•
DOI:
- 10.1007/JHEP03(2021)007

[9]

Superspace duality in low-energy superstrings

W. Siegel
(
- SUNY, Stony Brook
)

- Phys.Rev.D 48 (1993) 2826-2837
•
e-Print:
- hep-th/9305073
•
DOI:
- 10.1103/PhysRevD.48.2826

[10]

Double Field Theory

Chris Hull
(
- Imperial Coll., London
)
,
Barton Zwiebach
(
- MIT, LNS
)

- JHEP 09 (2009) 099
•
e-Print:
- 0904.4664
•
DOI:
- 10.1088/1126-6708/2009/09/099

[11]

Generalized metric formulation of double field theory

Olaf Hohm
(
- MIT, LNS
)
,
Chris Hull
(
- Imperial Coll., London
)
,
Barton Zwiebach
(
- MIT, LNS
)

- JHEP 08 (2010) 008
•
e-Print:
- 1006.4823
•
DOI:
- 10.1007/JHEP08(2010)008

[12]

The Spacetime of Double Field Theory: Review, Remarks, and Outlook

Olaf Hohm
(
- Munich U., ASC
)
,
Dieter Lüst
(
- Munich U., ASC and
- Munich, Max Planck Inst.
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- Fortsch.Phys. 61 (2013) 926-966
•
e-Print:
- 1309.2977
•
DOI:
- 10.1002/prop.201300024

[13]

Doubled $\alpha'$ -geometry

Olaf Hohm
(
- Munich U., ASC
)
,
Warren Siegel
(
- YITP, Stony Brook
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 02 (2014) 065
•
e-Print:
- 1306.2970
•
DOI:
- 10.1007/JHEP02(2014)065

[14]

String Dualities at Order $\alpha'^{\,3}$

- Phys.Rev.Lett. 126 (2021) 17, 171602
•
e-Print:
- 2012.15677
•
DOI:
- 10.1103/PhysRevLett.126.171602

[15]

General string cosmologies at order α′3

Tomas Codina
(
- Humboldt U., Berlin
)
,
Olaf Hohm
(
- Humboldt U., Berlin
)
,
Diego Marques
(
- Buenos Aires, IAFE
)

- Phys.Rev.D 104 (2021) 10, 106007
•
e-Print:
- 2107.00053
•
DOI:
- 10.1103/PhysRevD.104.106007

[16]

Duality invariant string beta functions at two loops

Roberto Bonezzi
(
- Humboldt U., Berlin
)
,
Tomas Codina
(
- Humboldt U., Berlin
)
,
Olaf Hohm
(
- Humboldt U., Berlin
)

- JHEP 02 (2022) 109
•
e-Print:
- 2111.05102
•
DOI:
- 10.1007/JHEP02(2022)109

[17]

Factorization of Chiral String Amplitudes

- JHEP 09 (2016) 101
•
e-Print:
- 1603.02588
•
DOI:
- 10.1007/JHEP09(2016)101

[18]

On the null origin of the ambitwistor string

- JHEP 11 (2016) 036
•
e-Print:
- 1606.05636
•
DOI:
- 10.1007/JHEP11(2016)036

[19]

Chiral strings, the sectorized description and their integrated vertex operators

Renann Lipinski Jusinskas
(
- Prague, Inst. Phys.
)

- JHEP 12 (2019) 143
•
e-Print:
- 1909.04069
•
DOI:
- 10.1007/JHEP12(2019)143

[20]

Green-Schwarz mechanism and $\alpha'$ -deformed Courant brackets

Olaf Hohm
(
- MIT, Cambridge, CTP
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 01 (2015) 012
•
e-Print:
- 1407.0708
•
DOI:
- 10.1007/JHEP01(2015)012

[21]

Double field theory at order $\alpha'$

Olaf Hohm
(
- MIT, Cambridge, CTP
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 11 (2014) 075
•
e-Print:
- 1407.3803
•
DOI:
- 10.1007/JHEP11(2014)075

[22]

Three-point Functions in Duality-Invariant Higher-Derivative Gravity

- JHEP 03 (2016) 147
•
e-Print:
- 1602.01101
•
DOI:
- 10.1007/JHEP03(2016)147

[23]

T-duality Constraints on Higher Derivatives Revisited

Olaf Hohm
(
- SUNY, Stony Brook and
- MIT, Cambridge, CTP
)
,
Barton Zwiebach
(
- MIT, Cambridge, CTP
)

- JHEP 04 (2016) 101
•
e-Print:
- 1510.00005
•
DOI:
- 10.1007/JHEP04(2016)101

[24]

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

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

- Phys.Rev.D 100 (2019) 12, 126011
•
e-Print:
- 1905.06963
•
DOI:
- 10.1103/PhysRevD.100.126011

[25]

On the curious spectrum of duality invariant higher-derivative gravity

- JHEP 08 (2016) 173
•
e-Print:
- 1607.01784
•
DOI:
- 10.1007/JHEP08(2016)173

1-25 of 38
1
2
25 / page