Type II string theory and modularity

Journal of High Energy Physics

Volumn , Issue 8, 2005, Pages 1041-1070

  Kriz, Igor ^a   Sati, Hisham ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

F Theory; M Theory; String Duality; Superstrings and Heterotic Strings

Indexed keywords

EID: 24944495791     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/08/038     Document Type: Article

References (54)

1. I. Kriz and H. Sati, M-theory, type IIA superstrings and elliptic cohomology 2004 Adv. Theor. Math. Phys. 8 345 [hep-th/0404013]
2. I. Kriz and H. Sati, Type IIB string theory, S-duality and generalized cohomology 2005 Nucl. Phys. B 715 639 [hep-th/0410293]
3. G.W. Moore and E. Witten, Self-duality, Ramond-Ramond fields and K-theory 2000 J. High Energy Phys. JHEP05(2000)032 [hep-th/9912279]
4. 8 gauge theory and a derivation of K-theory from M-theory 2003 Adv. Theor. Math. Phys. 6 1031 [hep-th/0005090]
5. E. Witten, D-branes and K-theory 1998 J. High Energy Phys. JHEP12(1998)019 [hep-th/9810188]
6. P. Horava, Type IIA D-branes, K-theory and matrix theory 1999 Adv. Theor. Math. Phys. 2 1373 [hep-th/9812135]
7. 88 gauge theory 2004 J. High Energy Phys. JHEP03(2004)016 [hep-th/0312033]
8. C. Vafa, Evidence for F-theory 1996 Nucl. Phys. B 469 403 [hep-th/9602022]
9. P. Hu and I. Kriz, Conformal field theory and elliptic cohomology 2004 Adv. Math. 189 n. 2 325
10. E. Witten, The index of the Dirac operator in loop space in [43], 161-181
11. S. Ferrara, R. Minasian and A. Sagnotti, Low-energy analysis of M and F theories on Calabi-Yau threefolds 1996 Nucl. Phys. B 474 323 [hep-th/9604097]
12. N. Khviengia, Z. Khviengia, H. Lu and C.N. Pope, Towards a field theory of F-theory 1998 Class. Quantum Grav. 15 759 [hep-th/9703012]
13. 8 and K-theory from 11d 2003 J. High Energy Phys. JHEP02(2003)029 [hep-th/0203218]
14. 8 to F via T 2004 J. High Energy Phys. JHEP08(2004)021 [hep-th/0311235]
15. P. Horava and E. Witten, Heterotic and type I string dynamics from eleven dimensions 1996 Nucl. Phys. B 460 506 [hep-th/9510209]
16. E. Witten, On flux quantization in M-theory and the effective action 1997 J. Geom. Phys. 22 1 [hep-th/9609122]
17. M.B. Green and S. Sethi, Supersymmetry constraints on type IIB supergravity 1999 Phys. Rev. D 59 046006 [hep-th/9808061]
18. C.M. Hull and P.K. Townsend, Unity of superstring dualities 1995 Nucl. Phys. B 438 109 [hep-th/9410167]
19. E. Witten, String theory dynamics in various dimensions 1995 Nucl. Phys. B 443 85 [hep-th/9503124]
20. S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications 2002 Phys. Rev. D 66 106006 [hep-th/0105097]
21. M.R. Gaberdiel and M.B. Green, An SL(2,ℤ) anomaly in iib supergravity and its F-theory interpretation, 1998 J. High Energy Phys. JHEP11(1998)026 [hep-th/9810153]
22. E. Bergshoeff, Duality symmetries and the type II string effective action 1996 Nucl. Phys. (Proc. Suppl.) 46 39 [hep-th/9509145]
23. C. Vafa and E. Witten, A one loop test of string duality 1995 Nucl. Phys. B 447 261 [hep-th/9505053]
24. M.J. Duff, J.T. Liu and R. Minasian, Eleven-dimensional origin of string/string duality: a one-loop test 1995 Nucl. Phys. B 452 261 [hep-th/9506126]
25. M.B. Green and M. Gutperle, Effects of D-instantons 1997 Nucl. Phys. B 498 195 [hep-th/9701093]
26. M. de Roo, H. Suelmann and A. Wiedemann, The supersymmetric effective action of the heterotic string in ten-dimensions 1993 Nucl. Phys. B 405 326 [hep-th/9210099]
27. M.B. Green and J.H. Schwarz, Supersymmetrical dual string theory. III. Loops and renormalization 1982 Nucl. Phys. B 198 441
28. 4 threshold corrections in type IIB string theory and (p,q) string instantons 1997 Nucl. Phys. B 508 509 [hep-th/9707018]
29. K. Dasgupta and S. Mukhi, A note on low-dimensional string compactifications 1997 Phys. Lett. B 398 285 [hep-th/9612188]
30. J.H. Schwarz, An SL(2,ℤ) multiplet of type IIB superstrings, 1995 Phys. Lett. B 360 13 [hep-th/9508143]
31. J.H. Schwarz, An SL(2,ℤ) multiplet of type IIB superstrings, 1995 Phys. Lett. B 360 13 [hep-th/9508143]
32. P.S. Aspinwall, Some relationships between dualities in string theory 1996 Nucl. Phys. (Proc. Suppl.) 46 30 [hep-th/9508154]
33. J.H. Schwarz, The power of M-theory 1996 Phys. Lett. B 367 97 [hep-th/9510086]
34. M.B. Green, Interconnections between type II superstrings, M-theory and N ≤ 4 Yang-Mills [hep-th/9903124]
35. 4 couplings 1998 Phys. Lett. B 431 73 [hep-th/9804023]
36. 4 terms in N ≤ 2 D ≤ 8 superspace 1998 Nucl. Phys. B 514 191 [hep-th/9709116]
37. D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds I 1996 Nucl. Phys. B 473 74 [hep-th/9602114]
38. N. Marcus, Composite anomalies in supergravity 1985 Phys. Lett. B 157 383
39. 8 gauge theory [hep-th/0312069]
40. A. Sagnotti, Open strings and their symmetry groups [hep-th/0208020]
41. M. Ando, M.J. Hopkins and N.P. Strickland, Elliptic spectra, the Witten genus and the theorem of the cube 2001 Invent. Math. 146 595
42. M.J. Hopkins and M. Mahowald, From elliptic curves to homotopy theory preprint, http://hopf.math.purdue.edu/cgi-bin/generate?/Hopkins-Mahowald/ eo2homotopy
43. G. Segal, Elliptic cohomology Séminaire Bourbaki, Vol. 1987/88, 1989 Astérisque 695 187
44. P.S. Landweber ed., Elliptic curves and modular forms in algebraic topology Lecture Notes in Math. J. 1326, Springer, Berlin 1988
45. S. Stolz and P. Teichner, What is an elliptic object? in Topology, Geometry and Quantum Field Theory U. Tillmann ed., 2004 (Cambridge University Press, Cambridge), pp. 247-343
46. P. Hu and I. Kriz, Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence 2001 Topology 40 317
47. T. Kugo and P.K. Townsend, Supersymmetry and the division algebras 1983 Nucl. Phys. B 221 357
48. L. Castellani, P. Fre, F. Giani, K. Pilch and P. van Nieuwenhuizen, Beyond D ≤ 11 supergravity and cartan integrable systems 1982 Phys. Rev. D 26 1481
49. I. Rudychev, E. Sezgin and P. Sundell, Supersymmetry in dimensions beyond eleven 1998 Nucl. Phys. (Proc. Suppl.) 68 285 [hep-th/9711127]
50. S. Hewson, On supergravity in (10,2) [hep-th/9908209]
51. H. Nishino, Supergravity in 10+2 dimensions as consistent background for superstring 1998 Phys. Lett. B 428 85 [hep-th/9703214]
52. C.M. Hull, Timelike t-duality, de Sitter space, large-N gauge theories and topological field theory 1998 J. High Energy Phys. JHEP07(1998)021 [hep-th/9806146]
53. C.M. Hull, Duality and the signature of space-time 1998 J. High Energy Phys. JHEP11(1998)017 [hep-th/9807127]
54. C.M. Hull and R.R. Khuri, Branes, times and dualities 1998 Nucl. Phys. B 536 219 [hep-th/9808069]