Abstract
Computations of non-perturbative contributions is still a difficult task. In (supersymmetric) Field theory a direct computation requires the construction of the measure of integration over vacua containing n-instantons, which is not yet available for every n. The use of dualities is still the main tool for getting the answer. In String theory the D-instantons contributions for the R 4 were conjectured thanks to the Sl(2, Z) invariance of the type IIb theory [1], and for the Spin(32)/Z 2 some ad hoc rules for the contributions for the R 4 and F 4 were derived from the S-duality relation between the Heterotic and Type I strings [2]. In this proceeding I will explain how these non-perturbative contributions can be computed exactly, concentrating on the eight-dimensional case. Details and generalizations will be found in [3].
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References
M.B. Green and M. Gutperle, Nucl. Phys. B498 (1997) 195.
C. Bachas, C. Fabre, E. Kiritsis, N.A. Obers and P. Vanhove Nucl. Phys. B509 (1998) 33.
C. Bachas, Heterotic versus Type I, hep-th/9710102; P. Vanhove, PhD dissertation Ecole polytechnique France, CPTH-T602.0498.
C. Bachas and E. Kiritsis, Nucl. Phys. Proc. Suppl. 55B (1997) 194.
W. Lerche, B. Nilsson and A. Schellekens, Nucl. Phys. B289 (1987) 609; W. Lerche, B. Nilson, A. Schellekens and N. Warner, Nucl. Phys. B299 (1988) 91; W. Lerche, Nucl. Phys. B308 (1988) 102
W. Taylor, Phys. Rev. Lett. 177 (1996) 394; R. Dijkgraaf, E. Verlinde and H. Verlinde, Nucl. Phys. B500 (1997) 43 and Notes on Matrix and Micro Strings, hep-th/9709107; S.J. Rey, Nucl. Phys. B502 (1997) 170; D.A. Lowe, Phys.Lett. B403 (1997) 243.
P. Ginsparg, Applied Conformai Field Theory Les Houches session XLIX, ed. E. Brézin et J. Zinn-Justin Elsevier Science Publisher B.V. 1989.
G. ’t Hooft, Nucl. Phys. B153 (1979) 141; O.J. Ganor, S. Ramgoolam and W. Taylor IV, Nucl. Phys. B492 (1997) 191.
M.B. Green and P. Vanhove, Phys. Lett. 408B (1997) 122.
M.B. Green and M. Gutperle, D-particle bound states and the D-instanton measure, hep-th/9711107.
M.B. Green, M. Gutperle and P. Vanhove, Phys. Lett. 409B (1997) 177.
M.B. Green, J.H. Schwarz and E. Witten Superstring theory, Appendix 9.A, Cambridge Univ. Press. (1987).
S. Elitzur, A. Giveon, D. Kutasov and E. Rabinovici, Algebraic Aspects of Matrix Theory on T d, hep-th/9707217.
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Vanhove, P. (1999). BPS Saturated Amplitudes and Non-Perturbative String Theory. In: Baulieu, L., Di Francesco, P., Douglas, M., Kazakov, V., Picco, M., Windey, P. (eds) Strings, Branes and Dualities. NATO ASI Series, vol 520. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4730-9_27
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DOI: https://doi.org/10.1007/978-94-011-4730-9_27
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