Abstract
It is believed that the invariance of the generalised diffeomorphisms prevents any non-trivial dilaton potential from double field theory. It is therefore difficult to include loop corrections in the formalism. We show that by redefining a non-local dilaton field, under strong constraint which is necessary to preserve the gauge invariance of double field theory, the theory does permit non-constant dilaton potentials and loop corrections. If the fields have dependence on only one single coordinate, the non-local dilaton is identical to the ordinary one with an additive constant.
Article PDF
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Avoid common mistakes on your manuscript.
References
W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev. D 47 (1993) 5453 [hep-th/9302036] [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, in Proceedings, Strings ’93, Berkeley U.S.A. (1993), pg. 353 and State U. New York Stony Brook preprint ITP-SB-93-050 [hep-th/9308133] [INSPIRE].
C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
C. Hull and B. Zwiebach, The gauge algebra of double field theory and Courant brackets, JHEP 09 (2009) 090 [arXiv:0908.1792] [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].
A.A. Tseytlin, Duality symmetric formulation of string world sheet dynamics, Phys. Lett. B 242 (1990) 163 [INSPIRE].
A.A. Tseytlin, Duality symmetric closed string theory and interacting chiral scalars, Nucl. Phys. B 350 (1991) 395 [INSPIRE].
M.J. Duff, Duality rotations in string theory, Nucl. Phys. B 335 (1990) 610 [INSPIRE].
M.J. Duff and J.X. Lu, Duality rotations in membrane theory, Nucl. Phys. B 347 (1990) 394 [INSPIRE].
B. Zwiebach, Double field theory, T-duality and Courant brackets, Lect. Notes Phys. 851 (2012) 265 [arXiv:1109.1782] [INSPIRE].
G. Aldazabal, D. Marques and C. Núñez, Double field theory: a pedagogical review, Class. Quant. Grav. 30 (2013) 163001 [arXiv:1305.1907] [INSPIRE].
D.S. Berman and D.C. Thompson, Duality symmetric string and M-theory, arXiv:1306.2643 [INSPIRE].
O. Hohm, D. Lüst and B. Zwiebach, The spacetime of double field theory: review, remarks and outlook, Fortsch. Phys. 61 (2013) 926 [arXiv:1309.2977] [INSPIRE].
O. Hohm and S.K. Kwak, Massive type II in double field theory, JHEP 11 (2011) 086 [arXiv:1108.4937] [INSPIRE].
G. Aldazabal, W. Baron, D. Marques and C. Núñez, The effective action of double field theory, JHEP 11 (2011) 052 [Erratum ibid. 11 (2011) 109] [arXiv:1109.0290] [INSPIRE].
D. Geissbuhler, Double field theory and N = 4 gauged supergravity, JHEP 11 (2011) 116 [arXiv:1109.4280] [INSPIRE].
D. Geissbuhler, D. Marques, C. Núñez and V. Penas, Exploring double field theory, JHEP 06 (2013) 101 [arXiv:1304.1472] [INSPIRE].
D.S. Berman, C.D.A. Blair, E. Malek and M.J. Perry, The O D,D geometry of string theory, Int. J. Mod. Phys. A 29 (2014) 1450080 [arXiv:1303.6727] [INSPIRE].
M. Graña and D. Marques, Gauged double field theory, JHEP 04 (2012) 020 [arXiv:1201.2924] [INSPIRE].
O. Hohm and S.K. Kwak, Frame-like geometry of double field theory, J. Phys. A 44 (2011) 085404 [arXiv:1011.4101] [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Stringy differential geometry, beyond Riemann, Phys. Rev. D 84 (2011) 044022 [arXiv:1105.6294] [INSPIRE].
O. Hohm and B. Zwiebach, On the Riemann tensor in double field theory, JHEP 05 (2012) 126 [arXiv:1112.5296] [INSPIRE].
O. Hohm and B. Zwiebach, Towards an invariant geometry of double field theory, J. Math. Phys. 54 (2013) 032303 [arXiv:1212.1736] [INSPIRE].
M. Gasperini, Elements of string cosmology, Cambridge Univ. Pr., Cambridge U.K. (2007) [INSPIRE].
O. Hohm, W. Siegel and B. Zwiebach, Doubled α ′ -geometry, JHEP 02 (2014) 065 [arXiv:1306.2970] [INSPIRE].
O. Hohm and B. Zwiebach, Green-Schwarz mechanism and α ′ -deformed Courant brackets, arXiv:1407.0708 [INSPIRE].
O. Hohm and B. Zwiebach, Double field theory at order α ′, arXiv:1407.3803 [INSPIRE].
O.A. Bedoya, D. Marques and C. Núñez, Heterotic α ′ -corrections in double field theory, arXiv:1407.0365 [INSPIRE].
M. Gasperini, M. Giovannini and G. Veneziano, Perturbations in a nonsingular bouncing universe, Phys. Lett. B 569 (2003) 113 [hep-th/0306113] [INSPIRE].
H. Wu and H. Yang, Double field theory inspired cosmology, JCAP 07 (2014) 024 [arXiv:1307.0159] [INSPIRE].
H. Wu and H. Yang, New cosmological signatures from double field theory, arXiv:1312.5580 [INSPIRE].
C.-T. Ma and C.-M. Shen, Cosmological implications from O D,D , arXiv:1405.4073 [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Differential geometry with a projection: application to double field theory, JHEP 04 (2011) 014 [arXiv:1011.1324] [INSPIRE].
I. Jeon, K. Lee and J.-H. Park, Double field formulation of Yang-Mills theory, Phys. Lett. B 701 (2011) 260 [arXiv:1102.0419] [INSPIRE].
J.-H. Park, Comments on double field theory and diffeomorphisms, JHEP 06 (2013) 098 [arXiv:1304.5946] [INSPIRE].
O. Hohm and B. Zwiebach, Large gauge transformations in double field theory, JHEP 02 (2013) 075 [arXiv:1207.4198] [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: 1408.3713
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
Lv, S., Wu, H. & Yang, H. Loop corrections in double field theory: non-trivial dilaton potentials. J. High Energ. Phys. 2014, 129 (2014). https://doi.org/10.1007/JHEP10(2014)129
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2014)129