Abstract
Doubled α′-geometry is the simplest higher-derivative gravitational theory with exact global duality symmetry. We use the double metric formulation of this theory to compute on-shell three-point functions to all orders in α′. A simple pattern emerges when comparing with the analogous bosonic and heterotic three-point functions. As in these theories, the amplitudes factorize. The theory has no Gauss-Bonnet term, but contains a Riemann-cubed interaction to second order in α′.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Veneziano, Scale factor duality for classical and quantum strings, Phys. Lett. B 265 (1991) 287 [INSPIRE].
K.A. Meissner and G. Veneziano, Symmetries of cosmological superstring vacua, Phys. Lett. B 267 (1991) 33 [INSPIRE].
A. Sen, O(d) ⊗ O(d) symmetry of the space of cosmological solutions in string theory, scale factor duality and two-dimensional black holes, Phys. Lett. B 271 (1991) 295 [INSPIRE].
S.F. Hassan and A. Sen, Twisting classical solutions in heterotic string theory, Nucl. Phys. B 375 (1992) 103 [hep-th/9109038] [INSPIRE].
W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev. D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].
W. Siegel, Manifest duality in low-energy superstrings, hep-th/9308133 [INSPIRE].
C. Hull and B. Zwiebach, Double Field Theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP 07 (2010) 016 [arXiv:1003.5027] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Generalized metric formulation of double field theory, JHEP 08 (2010) 008 [arXiv:1006.4823] [INSPIRE].
O. Hohm, W. Siegel and B. Zwiebach, Doubled α ′ -geometry, JHEP 02 (2014) 065 [arXiv:1306.2970] [INSPIRE].
O. Hohm and B. Zwiebach, Double Metric, Generalized Metric and α ′ -Geometry, arXiv:1509.02930 [INSPIRE].
O. Hohm and B. Zwiebach, Green-Schwarz mechanism and α ′ -deformed Courant brackets, JHEP 01 (2015) 012 [arXiv:1407.0708] [INSPIRE].
D. Marques and C.A. Núñez, T-duality and α ′ -corrections, JHEP 10 (2015) 084 [arXiv:1507.00652] [INSPIRE].
W. Siegel, Amplitudes for left-handed strings, arXiv:1512.02569 [INSPIRE].
O. Hohm, On factorizations in perturbative quantum gravity, JHEP 04 (2011) 103 [arXiv:1103.0032] [INSPIRE].
R.H. Boels and C. Horst, Perturbative quantum gravity in double field theory, arXiv:1512.03192 [INSPIRE].
D.J. Gross, J.A. Harvey, E.J. Martinec and R. Rohm, Heterotic String Theory. 2. The Interacting Heterotic String, Nucl. Phys. B 267 (1986) 75 [INSPIRE].
B. Zwiebach, Curvature Squared Terms and String Theories, Phys. Lett. B 156 (1985) 315 [INSPIRE].
R.R. Metsaev and A.A. Tseytlin, Order alpha-prime (Two Loop) Equivalence of the String Equations of Motion and the σ-model Weyl Invariance Conditions: Dependence on the Dilaton and the Antisymmetric Tensor, Nucl. Phys. B 293 (1987) 385 [INSPIRE].
R.R. Metsaev and A.A. Tseytlin, Curvature Cubed Terms in String Theory Effective Actions, Phys. Lett. B 185 (1987) 52 [INSPIRE].
O. Hohm and B. Zwiebach, Double field theory at order α ′, JHEP 11 (2014) 075 [arXiv:1407.3803] [INSPIRE].
J. Scherk and J.H. Schwarz, Dual Models for Nonhadrons, Nucl. Phys. B 81 (1974) 118 [INSPIRE].
J. Polchinski, String theory. Vol. 1: An introduction to the bosonic string, Cambridge University Press (1998).
J. Polchinski, String theory. Vol. 2: Superstring theory and beyond, Cambridge University Press (1998).
X.O. Camanho, J.D. Edelstein, J. Maldacena and A. Zhiboedov, Causality Constraints on Corrections to the Graviton Three-Point Coupling, JHEP 02 (2016) 020 [arXiv:1407.5597] [INSPIRE].
O. Hohm and B. Zwiebach, T-duality Constraints on Higher Derivatives Revisited, arXiv:1510.00005 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1602.01101
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Naseer, U., Zwiebach, B. Three-point functions in duality-invariant higher-derivative gravity. J. High Energ. Phys. 2016, 147 (2016). https://doi.org/10.1007/JHEP03(2016)147
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2016)147