R 4 couplings and automorphic unipotent representations

Journal of High Energy Physics

Volumn 2010, Issue 3, 2010, Pages

  Pioline, Boris ^a  

^a LPTHE   (France)

Author keywords

M Theory; Nonperturbative effects; String duality; Supersymmetry and duality

Indexed keywords

EID: 84856396591     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2010)116     Document Type: Article

References (43)

1. C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [SPIRES].
2. M.B. Green and M. Gutperle, Effects of D-instantons, Nucl. Phys. B 498 (1997) 195 [hep-th/9701093] [SPIRES].
3. M.B. Green, M. Gutperle and P. Vanhove, One loop in eleven dimensions, Phys. Lett. B 409 (1997) 177 [hep-th/9706175] [SPIRES].
4. B. Pioline, A note on non-perturbative R**4 couplings, Phys. Lett. B 431 (1998) 73 [hep-th/9804023] [SPIRES].
5. M.B. Green and S. Sethi, Supersymmetry constraints on type IIB supergravity, Phys. Rev. D 59 (1999) 046006 [hep-th/9808061] [SPIRES].
6. 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].
7. M.B. Green and P. Vanhove, Duality and higher derivative terms in M-theory, JHEP 01 (2006) 093 [hep-th/0510027] [SPIRES].
8. 4 threshold corrections in type IIB string theory and (p,q) string instantons, Nucl. Phys. B 508 (1997) 509 [hep-th/9707018] [SPIRES].
9. N.A. Obers and B. Pioline, Eisenstein series and string thresholds, Commun. Math. Phys. 209 (2000) 275 [hep-th/9903113] [SPIRES].
10. B.H. Gross and N.R. Wallach, On quaternionic discrete series representations, and their continuations J. Reine Angew. Math. 481 (1996) 73.
11. B.H. Gross and N.R. Wallach, A distinguished family of unitary representations for the exceptional groups of real rank = 4, in Lie theory and geometry, vol.123 of Progr. Math., Birkhäuser Boston, Boston U.S.A. (1994), pg. 289-304.
12. 4 couplings, the fundamental membrane and exceptional theta correspondences, JHEP 03 (2001) 036 [hep-th/0102123] [SPIRES].
13. B. Pioline and A. Waldron, The automorphic membrane, JHEP 06 (2004) 009 [hep-th/0404018] [SPIRES].
14. B. Pioline, BPS black hole degeneracies and minimal automorphic representations, JHEP 08 (2005) 071 [hep-th/0506228] [SPIRES].
15. M. Günaydin, A. Neitzke, B. Pioline and A. Waldron, BPS black holes, quantum attractor flows and automorphic forms, Phys. Rev. D 73 (2006) 084019 [hep-th/0512296] [SPIRES].
16. B. Pioline and D. Persson, The automorphic NS5-brane, arXiv:0902.3274 [SPIRES].
17. M. Günaydin, K. Koepsell and H. Nicolai, Conformal and quasiconformal realizations of exceptional Lie groups, Commun. Math. Phys. 221 (2001) 57 [hep-th/0008063] [SPIRES].
18. 8(8), Adv. Theor. Math. Phys. 5 (2002) 923 [hep-th/0109005] [SPIRES].
19. M.B. Green, J.G. Russo and P. Vanhove, Automorphic properties of low energy string amplitudes in various dimensions, arXiv:1001.2535 [SPIRES].
20. N. Lambert and P. West, Perturbation Theory From Automorphic Forms, arXiv:1001.3284 [SPIRES].
21. M.B. Green, J.G. Russo and P. Vanhove, String theory dualities and supergravity divergences, arXiv:1002.3805 [SPIRES].
22. S.S. Kudla and S. Rallis, Poles of Eisenstein series and L-functions, in Festschrift in honor of I.I. Piatetski-Shapiroon the occasion of his sixtieth birthday, Part II vol.3 of Israel Math. Conf. Proc., Weizmann, Jerusalem Israel (1990), pg. 81.
23. D. Ginzburg, S. Rallis, and D. Soudry, On the automorphic theta representation for simply laced groups, Israel J. Math. 100 (1997) 61.
24. N.A. Obers and B. Pioline, U-duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [SPIRES].
25. D.J. Gross and E. Witten, Superstring Modifications of Einstein's Equations, Nucl. Phys. B 277 (1986) 1 [SPIRES].
26. A. Joseph, The minimal orbit in a simple Lie algebra and its associated maximal ideal, Ann. Sci. École Norm. Sup. (4) 9 no.1 (1976) 1.
27. D. Kazhdan, B. Pioline and A. Waldron, Minimal representations, spherical vectors and exceptional theta series. I, Commun. Math. Phys. 226 (2002) 1 [hep-th/0107222] [SPIRES].
28. E. Kiritsis, Duality and instantons in string theory, hep-th/9906018 [SPIRES].
29. B. Pioline and A. Waldron, Automorphic forms: A physicist's survey,in Frontiers in number theory, physics, and geometry. II, Springer, Berlin Germany, 2007, pg.277 hep-th/0312068 [SPIRES].
30. S. Alexandrov, B. Pioline, F. Saueressig and S. Vandoren, D-instantons and twistors, JHEP 03 (2009) 044 [arXiv:0812.4219] [SPIRES].
31. A.M. Polyakov, Quark Confinement and Topology of Gauge Groups, Nucl. Phys. B 120 (1977) 429 [SPIRES].
32. N. Seiberg and E. Witten, Gauge dynamics and compactification to three dimensions, hep-th/9607163 [SPIRES].
33. N. Seiberg and S.H. Shenker, Hypermultiplet moduli space and string compactification to three dimensions, Phys. Lett. B 388 (1996) 521 [hep-th/9608086] [SPIRES].
34. S. Ferrara and J.M. Maldacena, Branes, central charges and U-duality invariant BPS conditions, Class. Quant. Grav. 15 (1998) 749 [hep-th/9706097] [SPIRES].
35. B. Pioline and E. Kiritsis, U-duality and D-brane combinatorics, Phys. Lett. B 418 (1998) 61 [hep-th/9710078] [SPIRES].
36. R. Dijkgraaf, E.P. Verlinde and H.L. Verlinde, BPS spectrum of the five-brane and black hole entropy, Nucl. Phys. B 486 (1997) 77 [hep-th/9603126] [SPIRES].
37. B. Pioline, Lectures on on black holes, topological strings and quantum attractors, Class. Quant. Grav. 23 (2006) S981 [hep-th/0607227] [SPIRES].
38. D. Kazhdan and A. Polishchuk, Minimal representations: spherical vectors and automorphic functionals, in Algebraic groups and arithmetic, Tata Inst. Fund. Res., Mumbai India (2004), pg. 127-198 [math/0209315].
39. J.M. Maldacena, G.W. Moore and A. Strominger, Counting BPS black holes in toroidal type-II string theory, hep-th/9903163 [SPIRES].
40. M.B. Green, H.-h. Kwon and P. Vanhove, Two loops in eleven dimensions, Phys. Rev. D 61 (2000) 104010 [hep-th/9910055] [SPIRES].
41. 2 and U-duality, Phys. Rev. D 77 (2008) 106003 [arXiv:0708.2950] [SPIRES].
42. S. Ferrara and M. Günaydin, Orbits of exceptional groups, duality and BPS states in string theory, Int. J. Mod. Phys. A 13 (1998) 2075 [hep-th/9708025] [SPIRES].
43. g2, SL(3))-modules," Internat. Math. Res. Notices 4 (1994) 177.