Abstract
We study the effective physics of F-theory at order α ′ 3 in derivative expansion. We show that the ten-dimensional type IIB eight-derivative couplings involving the graviton and the axio-dilaton naturally descend from pure gravity in twelve dimensions. Upon compactification on elliptically fibered Calabi-Yau fourfolds, the non-trivial vacuum profile for the axio-dilaton leads to a new, genuinely \( \mathcal{N} = 1,\ {\alpha}^{\prime\ 3} \) correction to the four-dimensional effective action.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022] [INSPIRE].
F. Denef, Les Houches Lectures on Constructing String Vacua, arXiv:0803.1194 [INSPIRE].
A. Maharana and E. Palti, Models of Particle Physics from Type IIB String Theory and F-theory: A Review, Int. J. Mod. Phys. A 28 (2013) 1330005 [arXiv:1212.0555] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
M. Berg, M. Haack and B. Körs, String loop corrections to Kähler potentials in orientifolds, JHEP 11 (2005) 030 [hep-th/0508043] [INSPIRE].
G. von Gersdorff and A. Hebecker, Kähler corrections for the volume modulus of flux compactifications, Phys. Lett. B 624 (2005) 270 [hep-th/0507131] [INSPIRE].
M. Berg, M. Haack and B. Körs, On volume stabilization by quantum corrections, Phys. Rev. Lett. 96 (2006) 021601 [hep-th/0508171] [INSPIRE].
M. Cicoli, J.P. Conlon and F. Quevedo, Systematics of String Loop Corrections in Type IIB Calabi-Yau Flux Compactifications, JHEP 01 (2008) 052 [arXiv:0708.1873] [INSPIRE].
M. Berg, M. Haack and E. Pajer, Jumping Through Loops: On Soft Terms from Large Volume Compactifications, JHEP 09 (2007) 031 [arXiv:0704.0737] [INSPIRE].
M. Graña, J. Louis, U. Theis and D. Waldram, Quantum Corrections in String Compactifications on SU(3) Structure Geometries, JHEP 01 (2015) 057 [arXiv:1406.0958] [INSPIRE].
I. Antoniadis, S. Ferrara, R. Minasian and K.S. Narain, R 4 couplings in M and type-II theories on Calabi-Yau spaces, Nucl. Phys. B 507 (1997) 571 [hep-th/9707013] [INSPIRE].
K. Becker, M. Becker, M. Haack and J. Louis, Supersymmetry breaking and alpha-prime corrections to flux induced potentials, JHEP 06 (2002) 060 [hep-th/0204254] [INSPIRE].
I. Antoniadis, R. Minasian, S. Theisen and P. Vanhove, String loop corrections to the universal hypermultiplet, Class. Quant. Grav. 20 (2003) 5079 [hep-th/0307268] [INSPIRE].
D. Ciupke, J. Louis and A. Westphal, Higher-Derivative Supergravity and Moduli Stabilization, arXiv:1505.03092 [INSPIRE].
M. Berg, M. Haack, J.U. Kang and S. Sjörs, Towards the one-loop Kähler metric of Calabi-Yau orientifolds, JHEP 12 (2014) 077 [arXiv:1407.0027] [INSPIRE].
T.W. Grimm, T.G. Pugh and M. Weissenbacher, On M-theory fourfold vacua with higher curvature terms, Phys. Lett. B 743 (2015) 284 [arXiv:1408.5136] [INSPIRE].
T.W. Grimm, T.G. Pugh and M. Weissenbacher, The effective action of warped M-theory reductions with higher derivative terms — Part I, arXiv:1412.5073 [INSPIRE].
L. Martucci, Warping the Kähler potential of F-theory/IIB flux compactifications, JHEP 03 (2015) 067 [arXiv:1411.2623] [INSPIRE].
T.W. Grimm, The N = 1 effective action of F-theory compactifications, Nucl. Phys. B 845 (2011) 48 [arXiv:1008.4133] [INSPIRE].
T.W. Grimm, D. Klevers and M. Poretschkin, Fluxes and Warping for Gauge Couplings in F-theory, JHEP 01 (2013) 023 [arXiv:1202.0285] [INSPIRE].
I. Garcia-Etxebarria, H. Hayashi, R. Savelli and G. Shiu, On quantum corrected Kähler potentials in F-theory, JHEP 03 (2013) 005 [arXiv:1212.4831] [INSPIRE].
T.W. Grimm, R. Savelli and M. Weissenbacher, On α′ corrections in N = 1 F-theory compactifications, Phys. Lett. B 725 (2013) 431 [arXiv:1303.3317] [INSPIRE].
T.W. Grimm, J. Keitel, R. Savelli and M. Weissenbacher, From M-theory higher curvature terms to α ′ corrections in F-theory, arXiv:1312.1376 [INSPIRE].
D. Junghans and G. Shiu, Brane curvature corrections to the \( \mathcal{N}=1 \) type-II/F-theory effective action, JHEP 03 (2015) 107 [arXiv:1407.0019] [INSPIRE].
M.B. Green, M. Gutperle and P. Vanhove, One loop in eleven-dimensions, Phys. Lett. B 409 (1997) 177 [hep-th/9706175] [INSPIRE].
M.B. Green and P. Vanhove, D instantons, strings and M-theory, Phys. Lett. B 408 (1997) 122 [hep-th/9704145] [INSPIRE].
A. Collinucci, P. Soler and A.M. Uranga, Non-perturbative effects and wall-crossing from topological strings, JHEP 11 (2009) 025 [arXiv:0904.1133] [INSPIRE].
K.-S. Choi, Twelve-dimensional Effective Action and T-duality, Eur. Phys. J. C 75 (2015) 202 [arXiv:1409.2476] [INSPIRE].
K.-S. Choi, Supergravity in Twelve Dimension, JHEP 09 (2015) 101 [arXiv:1504.00602] [INSPIRE].
G. Policastro and D. Tsimpis, R 4 , purified, Class. Quant. Grav. 23 (2006) 4753 [hep-th/0603165] [INSPIRE].
G. Policastro and D. Tsimpis, A note on the quartic effective action of type IIB superstring, Class. Quant. Grav. 26 (2009) 125001 [arXiv:0812.3138] [INSPIRE].
B. Pioline, A note on nonperturbative R 4 couplings, Phys. Lett. B 431 (1998) 73 [hep-th/9804023] [INSPIRE].
V. Braun and D.R. Morrison, F-theory on Genus-One Fibrations, JHEP 08 (2014) 132 [arXiv:1401.7844] [INSPIRE].
S. Ferrara, R. Minasian and A. Sagnotti, Low-energy analysis of M and F theories on Calabi-Yau threefolds, Nucl. Phys. B 474 (1996) 323 [hep-th/9604097] [INSPIRE].
S. Sethi, C. Vafa and E. Witten, Constraints on low dimensional string compactifications, Nucl. Phys. B 480 (1996) 213 [hep-th/9606122] [INSPIRE].
M.B. Green and M. Gutperle, Effects of D instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093] [INSPIRE].
A. Kehagias and H. Partouche, On the exact quartic effective action for the type IIB superstring, Phys. Lett. B 422 (1998) 109 [hep-th/9710023] [INSPIRE].
A. Kehagias and H. Partouche, D instanton corrections as (p,q) string effects and nonrenormalization theorems, Int. J. Mod. Phys. A 13 (1998) 5075 [hep-th/9712164] [INSPIRE].
B.R. Greene, A.D. Shapere, C. Vafa and S.-T. Yau, Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds, Nucl. Phys. B 337 (1990) 1 [INSPIRE].
A. Sen, F theory and orientifolds, Nucl. Phys. B 475 (1996) 562 [hep-th/9605150] [INSPIRE].
M. Bershadsky, K.A. Intriligator, S. Kachru, D.R. Morrison, V. Sadov and C. Vafa, Geometric singularities and enhanced gauge symmetries, Nucl. Phys. B 481 (1996) 215 [hep-th/9605200] [INSPIRE].
D. Nemeschansky and A. Sen, Conformal Invariance of Supersymmetric σ Models on Calabi-Yau Manifolds, Phys. Lett. B 178 (1986) 365 [INSPIRE].
M.D. Freeman and C.N. Pope, β-functions and Superstring Compactifications, Phys. Lett. B 174 (1986) 48 [INSPIRE].
M.D. Freeman, C.N. Pope, M.F. Sohnius and K.S. Stelle, Higher Order σ Model Counterterms and the Effective Action for Superstrings, Phys. Lett. B 178 (1986) 199 [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: 1506.06756
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
Minasian, R., Pugh, T.G. & Savelli, R. F-theory at order α′ 3 . J. High Energ. Phys. 2015, 50 (2015). https://doi.org/10.1007/JHEP10(2015)050
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2015)050