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BPS Saturated Amplitudes and Non-Perturbative String Theory

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Strings, Branes and Dualities

Part of the book series: NATO ASI Series ((ASIC,volume 520))

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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

  1. M.B. Green and M. Gutperle, Nucl. Phys. B498 (1997) 195.

    Article  MathSciNet  ADS  Google Scholar 

  2. C. Bachas, C. Fabre, E. Kiritsis, N.A. Obers and P. Vanhove Nucl. Phys. B509 (1998) 33.

    Article  MathSciNet  ADS  Google Scholar 

  3. C. Bachas, Heterotic versus Type I, hep-th/9710102; P. Vanhove, PhD dissertation Ecole polytechnique France, CPTH-T602.0498.

    Google Scholar 

  4. C. Bachas and E. Kiritsis, Nucl. Phys. Proc. Suppl. 55B (1997) 194.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. 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

    Article  MathSciNet  ADS  Google Scholar 

  6. 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.

    Google Scholar 

  7. P. Ginsparg, Applied Conformai Field Theory Les Houches session XLIX, ed. E. Brézin et J. Zinn-Justin Elsevier Science Publisher B.V. 1989.

    Google Scholar 

  8. G. ’t Hooft, Nucl. Phys. B153 (1979) 141; O.J. Ganor, S. Ramgoolam and W. Taylor IV, Nucl. Phys. B492 (1997) 191.

    Article  ADS  Google Scholar 

  9. M.B. Green and P. Vanhove, Phys. Lett. 408B (1997) 122.

    MathSciNet  ADS  Google Scholar 

  10. M.B. Green and M. Gutperle, D-particle bound states and the D-instanton measure, hep-th/9711107.

    Google Scholar 

  11. M.B. Green, M. Gutperle and P. Vanhove, Phys. Lett. 409B (1997) 177.

    MathSciNet  ADS  Google Scholar 

  12. M.B. Green, J.H. Schwarz and E. Witten Superstring theory, Appendix 9.A, Cambridge Univ. Press. (1987).

    Google Scholar 

  13. S. Elitzur, A. Giveon, D. Kutasov and E. Rabinovici, Algebraic Aspects of Matrix Theory on T d, hep-th/9707217.

    Google Scholar 

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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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