Flux compactifications on projective spaces and the S-duality puzzle

Advances in Theoretical and Mathematical Physics

Volumn 10, Issue 3, 2006, Pages 345-394

  Bouwknegt, Peter ^a   Evslin, Jarah ^b,c   Jurčo, Branislav ^d   Mathai, Varghese ^e   Sati, Hisham ^e  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^d UNIVERSITY OF MUNICH   (Germany)

^e UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846133659     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/ATMP.2006.v10.n3.a3     Document Type: Article

References (41)

1. R. Minasian and G. Moore, K-theory and Ramond-Ramond charge, J. High Energy Phys. 11 (1997), 002;
2. E. Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998)
3. P. Bouwknegt and V. Mathai, D-branes, B-fields and twisted K-theory, J. High Energy Phys. 03 (2000), 007;
4. D.-E. Diaconescu, G. Moore and E. Witten, E8 gauge theory, and a derivation of K-theory from M-theory, Adv. Theor. Math. Phys. 6 (2003), 1031-1134;
5. J. Evslin, Twisted K-theory from monodromies, J. High Energy Phys. 05 (2003), 030;
6. D. Marolf, Chern-Simons terms and three notions of charge, in Quantization, Gauge Theory and Strings, eds. A. Semikhatov et al World Scientific, Moscow 2001;
7. S.B. Giddings, S. Kachru, and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D66 (2002), 106006;
8. A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles, and three-dimensional gauge dynamics, Nucl. Phys. B492 (1997), 152-190
9. D. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math. 3 (1999), 819;
10. E. Witten, Baryons and branes in Anti de Sitter space, J. High Energy Phys. 07 (1998), 006;
11. CM. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B438 (1995), 109;
12. CM. Hull, String-string duality in ten dimensions, Phys. Lett. B357 (1995), 545;
13. J.H. Schwarz, An SL(2,Z) multiplet of type IIB superstrings, Phys. Lett. B360 (1995), 13;
14. O. Loaiza-Brito, Instantonic branes, Atiyah-Hirzebruch spectral sequence, and SL(2,Z) duality of N = 4 SYM
15. I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities, J. High Energy Phys. 08 (2000), 052;
16. J. Evslin, The cascade is a MMS instanton
17. C Vafa and E. Witten, A one-loop test of string duality, Nucl. Phys. B447 (1995), 261-270;
18. S. Sethi, C Vafa and E. Witten, Constraints on low-dimensional string compactifications, Nucl. Phys. B480 (1996), 213-224;
19. E. Diaconescu, D.S. Freed, and G. Moore, The M-theory 3-form and E8 gauge theory
20. G. Moore and E. Witten, private communication.
21. 5 untwisted, Nucl. Phys. B532 (1998), 181-209;
22. A. Hanany and B. Kol, On orientifolds, discrete torsion, branes and M theory, J. High Energy Phys. 06 (2000), 013;
23. P. Bouwknegt, J. Evslin and V. Mathai, T-duality: topology change from H-flux, Commun. Math. Phys. 249 (2004), 383-415;
24. P. Bouwknegt, J. Evslin and V. Mathai, On the topology and H-flux of T-dual manifolds, Phys. Rev. Lett. 92 (2004), 181601;
25. O. Bergman, E. Gimon and S. Sugimoto, Orientifolds, RR torsion, and K-theory, J. High Energy Phys. 05 (2001), 047;
26. J. Evslin and U. Varadarajan, K-theory and S-duality: starting over from square 3, J. High Energy Phys. 03 (2003), 026;
27. M. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces, Symp. Pure Math. 3 (1961), 7-38.
28. V. Braun, K-theory torsion
29. L. Romans, Massive N = 2A supergravity in ten dimensions, Phys. Lett. B169 (1986), 374.
30. E. Witten, Duality relations among topological effects in string theory, J. High Energy Phys. 05 (2000), 031;
31. 8 gauge theory, J. High Energy Phys. 03 (2004), 016;
32. J.A. Harvey, P. Hořava and P. Kraus, D-sphalerons and the topology of string configuration space, J. High Energy Phys. 03 (2000), 021;
33. J. Maldacena, G. Moore and N. Seiberg, D-brane instantons and K-theory charges, J. High Energy Phys. 11 (2001), 062;
34. M. Atiyah and G. Segal, Twisted K-theory, Ukr. Mat. Visn. 1 (2004), no. 3, 287-330;.
35. translation in Ukr. Math. Bull. 1 (2004), no. 3, 291-334
36. I. Raeburn and J. Rosenberg, Crossed products of continuous-trace C*-algebras by smooth actions, Trans. Amer. Math. Soc. 305 (1988), 1-45.
37. J. Evslin, IIB soliton spectra with all fluxes activated, Nucl. Phys. B657 (2003), 139;
38. A. Sen, Tachyon condensation on the brane antibrane system, J. High Energy Phys. 08 (1998), 012;
39. I. Kriz and H. Sati, M theory, type IIA superstrings, and elliptic cohomology, Adv. Theor. Math. Phys. 8 (2004), 345;
40. I. Kriz and H. Sati, Type IIB string theory, S-duality and generalized cohomology, Nucl. Phys. B715 (2005), 639-664.
41. I. Kriz and H. Sati, Type II string theory and modularity, J. High Energy Phys. 08 (2005), 038.