Abstract
We study non-perturbative D(−1)-instanton corrections to quartic gauge and curvature couplings in 8d type IIB orientifolds, in terms of a one-loop computation of BPS D0-branes in T-dual type I’ models. The complete perturbative and non-perturbative results are determined by the BPS multiplicities of perturbative open strings and D0-brane bound states in the 9d type I’ theory. Its modular properties admit a geometric interpretation by lifting to Horava-Witten theory. We use the type I’ viewpoint to motivate an interpretation of 8d and 4d polyinstanton effects, consistent with heterotic - type II orientifold duality.
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References
K. Becker, M. Becker and A. Strominger, Five-branes, membranes and nonperturbative string theory, Nucl. Phys. B 456 (1995) 130 [hep-th/9507158] [SPIRES].
E. Witten, Non-perturbative superpotentials in string theory, Nucl. Phys. B 474 (1996) 343 [hep-th/9604030] [SPIRES].
J.A. Harvey and G.W. Moore, Superpotentials and membrane instantons, hep-th/9907026 [SPIRES].
E. Witten, World-sheet corrections via D-instantons, JHEP 02 (2000) 030 [hep-th/9907041] [SPIRES].
M. Billó et al., Classical gauge instantons from open strings, JHEP 02 (2003) 045 [hep-th/0211250] [SPIRES].
E. Kiritsis, Duality and instantons in string theory, hep-th/9906018 [SPIRES].
R. Blumenhagen, M. Cvetič and T. Weigand, Spacetime instanton corrections in 4D string vacua — the seesaw mechanism for D-brane models, Nucl. Phys. B 771 (2007) 113 [hep-th/0609191] [SPIRES].
L.E. Ibáñez and A.M. Uranga, Neutrino Majorana masses from string theory instanton effects, JHEP 03 (2007) 052 [hep-th/0609213] [SPIRES].
R. Blumenhagen, M. Cvetič, S. Kachru and T. Weigand, D-brane instantons in type II orientifolds, Ann. Rev. Nucl. Part. Sci. 59 (2009) 269 [arXiv:0902.3251] [SPIRES].
G.W. Moore, N. Nekrasov and S. Shatashvili, D-particle bound states and generalized instantons, Commun. Math. Phys. 209 (2000) 77 [hep-th/9803265] [SPIRES].
M. Billó et al., Exotic instanton counting and heterotic/type-I’ duality, JHEP 07 (2009) 092 [arXiv:0905.4586] [SPIRES].
F. Fucito, J.F. Morales and R. Poghossian, Exotic prepotentials from D(−1)D7 dynamics, JHEP 10 (2009) 041 [arXiv:0906.3802] [SPIRES].
H. Ooguri and C. Vafa, Summing up D-instantons, Phys. Rev. Lett. 77 (1996) 3296 [hep-th/9608079] [SPIRES].
D. Gaiotto, G.W. Moore and A. Neitzke, Four-dimensional wall-crossing via three-dimensional field theory, arXiv:0807.4723 [SPIRES].
A. Collinucci, P. Soler and A.M. Uranga, Non-perturbative effects and wall-crossing from topological strings, JHEP 11 (2009) 025 [arXiv:0904.1133] [SPIRES].
I. Garcia-Etxebarria and A.M. Uranga, Non-perturbative superpotentials across lines of marginal stability, JHEP 01 (2008) 033 [arXiv:0711.1430] [SPIRES].
I. Garcia-Etxebarria, F. Marchesano and A.M. Uranga, Non-perturbative F-terms across lines of BPS stability, JHEP 07 (2008) 028 [arXiv:0805.0713] [SPIRES].
M. Gutperle, A note on heterotic/type-I’ duality and D0 brane quantum mechanics, JHEP 05 (1999) 007 [hep-th/9903010] [SPIRES].
R. Blumenhagen and M. Schmidt-Sommerfeld, Power towers of string instantons for N = 1 vacua, JHEP 07 (2008) 027 [arXiv:0803.1562] [SPIRES].
J. Polchinski and E. Witten, Evidence for heterotic - type I string duality, Nucl. Phys. B 460 (1996) 525 [hep-th/9510169] [SPIRES].
S. Kachru and E. Silverstein, On gauge bosons in the matrix model approach to M-theory, Phys. Lett. B 396 (1997) 70 [hep-th/9612162] [SPIRES].
O. Bergman, M.R. Gaberdiel and G. Lifschytz, Branes, orientifolds and the creation of elementary strings, Nucl. Phys. B 509 (1998) 194 [hep-th/9705130] [SPIRES].
O. Bergman, M.R. Gaberdiel and G. Lifschytz, String creation and heterotic-type-I’ duality, Nucl. Phys. B 524 (1998) 524 [hep-th/9711098] [SPIRES].
C. Bachas, C. Fabre, E. Kiritsis, N.A. Obers and P. Vanhove, Heterotic/type-I duality and D-brane instantons, Nucl. Phys. B 509 (1998) 33 [hep-th/9707126] [SPIRES].
E. Kiritsis and N.A. Obers, Heterotic/type-I duality in D < 10 dimensions, threshold corrections and D-instantons, JHEP 10 (1997) 004 [hep-th/9709058] [SPIRES].
W. Lerche and S. Stieberger, Prepotential, mirror map and F-theory on K3, Adv. Theor. Math. Phys. 2 (1998) 1105 [Erratum ibid. 3 (1999) 1199] [hep-th/9804176] [SPIRES].
W. Lerche, S. Stieberger and N.P. Warner, Quartic gauge couplings from K3 geometry, Adv. Theor. Math. Phys. 3 (1999) 1575 [hep-th/9811228] [SPIRES].
W. Lerche and S. Stieberger, On the anomalous and global interactions of Kodaira 7-planes, Fortsch. Phys. 48 (2000) 155 [hep-th/9903232] [SPIRES].
K. Forger, On heterotic/type-I duality in D = 8, hep-th/9812154 [SPIRES].
K. Foerger and S. Stieberger, Higher derivative couplings and heterotic-type-I duality in eight dimensions, Nucl. Phys. B 559 (1999) 277 [hep-th/9901020] [SPIRES].
E. Gava, A. Hammou, J.F. Morales and K.S. Narain, On the perturbative corrections around D-string instantons, JHEP 03 (1999) 023 [hep-th/9902202] [SPIRES].
D.M. Ghilencea and S. Groot Nibbelink, String threshold corrections from field theory, Nucl. Phys. B 641 (2002) 35 [hep-th/0204094] [SPIRES].
E. Kiritsis and B. Pioline, On R 4 threshold corrections in type IIB string theory and (p, q) string instantons, Nucl. Phys. B 508 (1997) 509 [hep-th/9707018] [SPIRES].
J.A. Harvey and G.W. Moore, Algebras, BPS states and strings, Nucl. Phys. B 463 (1996) 315 [hep-th/9510182] [SPIRES].
L. Alvarez-Gaumé, An introduction to anomalies, lectures given at Int. School on Mathematical Physics, Erice Italy July 1–14 1985 [SPIRES].
L.J. Dixon, V. Kaplunovsky and J. Louis, Moduli dependence of string loop corrections to gauge coupling constants, Nucl. Phys. B 355 (1991) 649 [SPIRES].
M.B. Green, M. Gutperle and P. Vanhove, One loop in eleven dimensions, Phys. Lett. B 409 (1997) 177 [hep-th/9706175] [SPIRES].
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three- dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [SPIRES].
M.B. Green and S. Sethi, Supersymmetry constraints on type IIB supergravity, Phys. Rev. D 59 (1999) 046006 [hep-th/9808061] [SPIRES].
P.G. Camara and E. Dudas, Multi-instanton and string loop corrections in toroidal orbifold models, JHEP 08 (2008) 069 [arXiv:0806.3102] [SPIRES].
G. Aldazabal, A. Font, L.E. Ibáñez and F. Quevedo, Chains of N = 2, D = 4 heterotic/type-II duals, Nucl. Phys. B 461 (1996) 85 [hep-th/9510093] [SPIRES].
T. Kawai, N = 2 heterotic string threshold correction, K3 surface and generalized Kac-Moody superalgebra, Phys. Lett. B 372 (1996) 59 [hep-th/9512046] [SPIRES].
N. Seiberg and E. Witten, Comments on string dynamics in six dimensions, Nucl. Phys. B 471 (1996) 121 [hep-th/9603003] [SPIRES].
G. Aldazabal, A. Font, L.E. Ibáñez and A.M. Uranga, New branches of string compactifications and their F-theory duals, Nucl. Phys. B 492 (1997) 119 [hep-th/9607121] [SPIRES].
M. Henningson and G.W. Moore, Threshold corrections in K3 × T2 heterotic string compactifications, Nucl. Phys. B 482 (1996) 187 [hep-th/9608145] [SPIRES].
G. Lopes Cardoso, G. Curio and D. Lüst, Perturbative couplings and modular forms in N = 2 string models with a Wilson line, Nucl. Phys. B 491 (1997) 147 [hep-th/9608154] [SPIRES].
S. Stieberger, (0, 2) heterotic gauge couplings and their M-theory origin, Nucl. Phys. B 541 (1999) 109 [hep-th/9807124] [SPIRES].
M. Weiss, Topological amplitudes in heterotic strings with Wilson lines, JHEP 08 (2007) 024 [arXiv:0705.3112] [SPIRES].
J. Polchinski, Tensors from K3 orientifolds, Phys. Rev. D 55 (1997) 6423 [hep-th/9606165] [SPIRES].
J. Erler, Anomaly cancellation in six-dimensions, J. Math. Phys. 35 (1994) 1819 [hep-th/9304104] [SPIRES].
M. Abramowitz and I. Stegun, Handbook of mathematical functions, Dover, New York U.S.A. (1965).
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Petersson, C., Soler, P. & Uranga, A.M. D-instanton and polyinstanton effects from type I’ D0-brane loops. J. High Energ. Phys. 2010, 89 (2010). https://doi.org/10.1007/JHEP06(2010)089
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DOI: https://doi.org/10.1007/JHEP06(2010)089