N. Marcus, Composite anomalies in supergravity, Physics Letters B, vol.157, issue.5-6, 1985.
DOI : 10.1016/0370-2693(85)90385-5
URL : http://doi.org/10.1016/0370-2693(85)90385-5

M. R. Gaberdiel and M. B. Green, (2,Bbb Z) anomaly in IIB supergravity and its F-theory interpretation, Journal of High Energy Physics, vol.1998, issue.11, p.26, 1998.
DOI : 10.1088/1126-6708/1998/11/026

S. Sasmal, One loop amplitude for Heterotic string on T 2

T. Pantev and E. Sharpe, Duality group actions on fermions, Journal of High Energy Physics, vol.1, issue.11, p.1611, 2016.
DOI : 10.1007/JHEP11(2016)171
URL : http://arxiv.org/abs/1609.00011

R. Minasian, T. G. Pugh, and R. Savelli, F-theory at order ????? 3, Journal of High Energy Physics, vol.178, issue.10, pp.1510-050, 2015.
DOI : 10.1007/JHEP10(2015)050
URL : https://hal.archives-ouvertes.fr/cea-01310353

A. Salam and E. Sezgin, d=8 supergravity, Nuclear Physics B, vol.258, p.284, 1985.
DOI : 10.1016/0550-3213(85)90613-3
URL : http://doi.org/10.1016/0550-3213(85)90613-3

B. R. Greene, A. D. Shapere, C. Vafa, and S. T. Yau, Stringy cosmic strings and noncompact Calabi-Yau manifolds, Nuclear Physics B, vol.337, issue.1, 1990.
DOI : 10.1016/0550-3213(90)90248-C
URL : http://doi.org/10.1016/0550-3213(90)90248-c

T. W. Grimm, R. Savelli, and M. Weissenbacher, On ? ? Corrections in N = 1 F-Theory Compactifications, Phys. Lett. B, vol.7253317, pp.431-1303, 2013.

T. W. Grimm, J. Keitel, R. Savelli, and M. Weissenbacher, From M-theory higher curvature terms to ?? ??? corrections in F-theory, Nuclear Physics B, vol.903, p.325, 2016.
DOI : 10.1016/j.nuclphysb.2015.12.011

C. P. Bachas, P. Bain, and M. B. Green, Curvature terms in D-brane actions and their M-theory origin, Journal of High Energy Physics, vol.1999, issue.05, pp.9905-9916, 1999.
DOI : 10.1088/1126-6708/1999/05/011
URL : http://arxiv.org/abs/hep-th/9903210

A. Sen, F-theory and orientifolds, Nuclear Physics B, vol.475, issue.3, 1996.
DOI : 10.1016/0550-3213(96)00347-1
URL : http://doi.org/10.1016/0550-3213(96)00347-1

M. Esole and R. Savelli, Tate form and weak coupling limits in F-theory, Journal of High Energy Physics, vol.21, issue.1
DOI : 10.1007/JHEP06(2013)027
URL : http://arxiv.org/abs/1209.1633

M. B. Green, J. A. Harvey, and G. W. Moore, I-brane inflow and anomalous couplings on D-branes, Classical and Quantum Gravity, vol.14, issue.1, p.47, 1997.
DOI : 10.1088/0264-9381/14/1/008
URL : http://arxiv.org/abs/hep-th/9605033

Y. K. Cheung and Z. Yin, Anomalies, branes, and currents, Nuclear Physics B, vol.517, issue.1-3, p.69, 1998.
DOI : 10.1016/S0550-3213(98)00115-1
URL : http://doi.org/10.1016/s0550-3213(98)00115-1

R. Minasian and G. W. Moore, K-theory and Ramond-Ramond charge, Journal of High Energy Physics, vol.1997, issue.11, p.2, 1997.
DOI : 10.1088/1126-6708/1997/11/002
URL : http://arxiv.org/abs/hep-th/9710230

J. F. Morales, C. A. Scrucca, and M. Serone, Anomalous couplings for D-branes and O-planes, Nuclear Physics B, vol.552, issue.1-2, p.291, 1999.
DOI : 10.1016/S0550-3213(99)00217-5
URL : http://doi.org/10.1016/s0550-3213(99)00217-5

B. Stefanski and J. , Gravitational couplings of D-branes and O-planes, Nuclear Physics B, vol.548, issue.1-3, p.275, 1999.
DOI : 10.1016/S0550-3213(99)00147-9

G. Bossard and V. Verschinin, Minimal unitary representations from supersymmetry, Journal of High Energy Physics, vol.07, issue.10, p.8, 2014.
DOI : 10.1007/JHEP10(2014)008
URL : http://arxiv.org/abs/1406.5527

E. Kiritsis and B. Pioline, On R4 threshold corrections in type IIB string theory and (p, q)-string instantons, Nuclear Physics B, vol.508, issue.3, 1997.
DOI : 10.1016/S0550-3213(97)00645-7

C. Vafa and E. Witten, A one-loop test of string duality, Nuclear Physics B, vol.447, issue.2-3, p.261, 1995.
DOI : 10.1016/0550-3213(95)00280-6

M. J. Duff, J. T. Liu, and R. Minasian, Eleven-dimensional origin of string/string duality: a one-loop test, Nuclear Physics B, vol.452, issue.1-2, p.261, 1995.
DOI : 10.1016/0550-3213(95)00368-3

A. Salam and E. Sezgin, d = 8 supergravity: Matter couplings, gauging and Minkowski compactification, d = 8 Supergravity: Matter Couplings, Gauging and Minkowski Compactification, p.37, 1985.
DOI : 10.1016/0370-2693(85)91563-1
URL : http://doi.org/10.1016/0370-2693(85)91563-1

I. García-etxebarria, H. Hayashi, R. Savelli, and G. Shiu, On Quantum Corrected Kähler Potentials in F-Theory, pp.1303-1308, 2013.

M. B. Green and J. H. Schwarz, Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory, Physics Letters B, vol.149, issue.1-3, p.117, 1984.
DOI : 10.1016/0370-2693(84)91565-X

E. Kiritsis and N. A. Obers, < 10 dimensions, threshold corrections and D-instantons, Journal of High Energy Physics, vol.1997, issue.10, p.4, 1997.
DOI : 10.1088/1126-6708/1997/10/004

J. A. Harvey and G. W. Moore, Algebras, BPS states, and strings, Nuclear Physics B, vol.463, issue.2-3, p.315, 1996.
DOI : 10.1016/0550-3213(95)00605-2
URL : http://doi.org/10.1016/0550-3213(95)00605-2

L. J. Dixon, V. Kaplunovsky, and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants, Nuclear Physics B, vol.355, issue.3, pp.550-321390490, 1991.
DOI : 10.1016/0550-3213(91)90490-O

M. Gutperle, A Note on heterotic / type I-prime duality and D0-brane quantum mechanics, p.7, 1999.
DOI : 10.1088/1126-6708/1999/05/007
URL : http://arxiv.org/abs/hep-th/9903010

M. Gutperle, Heterotic / type I duality, D instantons and a N=2 AdS / CFT correspondence, Phys. Rev. D, vol.609905173, p.126001, 1999.
DOI : 10.1103/physrevd.60.126001
URL : http://arxiv.org/abs/hep-th/9905173

W. Lerche and S. Stieberger, Prepotential, mirror map and $F$-theory on $K3$, Advances in Theoretical and Mathematical Physics, vol.2, issue.5, pp.1105-1199, 1998.
DOI : 10.4310/ATMP.1998.v2.n5.a6
URL : http://arxiv.org/abs/hep-th/9804176

W. Lerche, On the Heterotic/F-Theory Duality in Eight Dimensions, p.9910207
DOI : 10.1007/978-94-010-0852-5_2

P. Horava and E. Witten, Eleven-dimensional supergravity on a manifold with boundary, Nucl. Phys. B, vol.4759603142, issue.94, 1996.

J. T. Liu and R. Minasian, U-branes and T 3 fibrations, Nucl. Phys. B, vol.5109707125, p.538, 1998.
DOI : 10.1016/s0550-3213(97)00732-3
URL : http://doi.org/10.1016/s0550-3213(97)00732-3

S. Hellerman, J. Mcgreevy, and B. Williams, Geometric constructions of nongeometric string theories, p.24, 2004.

M. R. Douglas, D. S. Park, and C. Schnell, The Cremmer-Scherk mechanism in F-theory compactifications on K3 manifolds, Journal of High Energy Physics, vol.53, issue.5, p.1405, 2014.
DOI : 10.1007/JHEP05(2014)135

J. Mcorist, D. R. Morrison, and S. Sethi, Geometries, non-geometries, and fluxes, Advances in Theoretical and Mathematical Physics, vol.14, issue.5, pp.1515-1004, 2010.
DOI : 10.4310/ATMP.2010.v14.n5.a4

A. Malmendier and D. R. Morrison, K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications, Letters in Mathematical Physics, vol.469, issue.1, pp.1085-14064873, 2015.
DOI : 10.1007/s11005-015-0773-y
URL : http://arxiv.org/abs/1406.4873

J. Gu and H. Jockers, -theory???heterotic duality, Physical Review D, vol.91, issue.8, p.86007, 2015.
DOI : 10.1103/PhysRevD.91.086007
URL : https://hal.archives-ouvertes.fr/hal-00908650

D. Lust, S. Massai, and V. , The monodromy of T-folds and T-fects, Journal of High Energy Physics, vol.12, issue.9, p.1609, 2016.
DOI : 10.1007/JHEP09(2016)127

M. J. Duff, R. Minasian, and E. Witten, Evidence for heterotic/heterotic duality, Nuclear Physics B, vol.465, issue.3, p.413, 1996.
DOI : 10.1016/0550-3213(96)00059-4
URL : http://doi.org/10.1016/0550-3213(96)00059-4

A. Sagnotti, A note on the Green-Schwarz mechanism in open-string theories, Physics Letters B, vol.294, issue.2, p.196, 1992.
DOI : 10.1016/0370-2693(92)90682-T

P. S. Aspinwall and M. Gross, The SO(32) heterotic string on a K3 surface, Physics Letters B, vol.387, issue.4, p.735, 1996.
DOI : 10.1016/0370-2693(96)01095-7

M. J. Duff and R. Minasian, Putting string /string duality to the test, Nuclear Physics B, vol.436, issue.3, 1995.
DOI : 10.1016/0550-3213(94)00538-P
URL : http://doi.org/10.1016/0550-3213(94)00538-p

L. Alvarez-gaume and E. Witten, Gravitational Anomalies, Nucl. Phys. B, vol.234, issue.269, 1984.

L. Alvarez-gaume and P. H. Ginsparg, The Structure of Gauge and Gravitational Anomalies, Annals Phys, vol.161, issue.171, p.233, 1985.

P. Van-nieuwenhuizen, Anomalies in quantum field theory: Cancellation of anomalies in d = 10 supergravity, notes in mathematical and theoretical physics, B3), 1989.

J. Erler, Anomaly cancellation in six dimensions, Journal of Mathematical Physics, vol.35, issue.4, p.1819, 1994.
DOI : 10.1063/1.530885
URL : http://arxiv.org/abs/hep-th/9304104