Branes on group manifolds, gluon condensâtes, and twisted K-theory

Journal of High Energy Physics

Volumn 5, Issue 4, 2001, Pages

  Fredenhagen, Stefan ^a   Schomerus, Volker ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

Conformal field models in string theory; D branes; Non commutative geometry

Indexed keywords

EID: 33744777529     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/04/007     Document Type: Article

References (66)

1. J. Polchinski, Dirichlet-branes and Ramond-Ramond charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017].
2. R. Minasian and G. Moore, K-theory and Ramond-Ramond charge, J. High Energy Phys. 11 (1997) 002 [hep-th/9710230].
3. E. Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998) 019 [hep-th/9810188].
4. P. Horava, Type IIA D-branes, K-theory and matrix theory, Adv. Theor. Math. Phys. 2 (1999) 1373 [hep-th/9812135].
5. D.S. Freed and E. Witten, Anomalies in string theory with D-branes,hep-th/9907189.
6. G. Moore and E. Witten, Self-duality, Ramond-Ramond fields and K-theory, J. High Energy Phys. 05 (2000) 032 [hep-th/9912279].
7. D.-E. Diaconescu, G. Moore and E. Witten, E8 gauge theory and a derivation of K-theory from M-theory,hep-th/0005090.
8. E. Witten, Overview of K-theory applied to strings,hep-th/0007175.
9. A. Sen, Tachyon condensation on the brune antibrane system, J. High Energy Phys. 08 (1998) 012 [hep-th/9805170];
10. so(32) spinors of type I and other solitons on braneantibrane pair, J. High Energy Phys. 09 (1998) 023 [hep-th/9808141];
11. Descent relations among bosonic D-branes, Int. J. Mod. Phys. A 14 (1999) 4061 [hep-th/9902105];
12. Non-BPS states and branes in string theory,hep-th/9904207.
13. P. Bouwknegt and V. Mathai, D-branes, B-fields and twisted K-theory, J. High Energy Phys. 03 (2000) 007 [hep-th/0002023].
14. A. Kapustin, D-branes in a topologically nontrivial B-field, Adv. Theor. Math. Phys. 4 (2001) 127 [hep-th/9909089].
15. V. Braun, K-theory torsion,hep-th/0005103.
16. A.Y. Alekseev and V. Schomerus, D-branes in the WZW model, Phys. Rev. D 60 (1999) 061901 [hep-th/9812193].
17. C. Bâchas, M. Douglas and C. Schweigert, Flux stabilization of D-branes, J. High Energy Phys. 05 (2000) 048 [hep-th/0003037].
18. J. Pawelczyk, SU(2) WZW D-branes and their noncommutative geometry from DEI action, J. High Energy Phys. 08 (2000) 006 [hep-th/0003057].
19. A.Y. Alekseev, A. Recknagel and V. Schomerus, Brune dynamics in background fluxes and non-commutative geometry, J. High Energy Phys. 05 (2000) 010 [hep-th/0003187].
20. R.C. Myers, Dielectric-branes, J. High Energy Phys. 12 (1999) 022 [hep-th/9910053].
21. A. Alekseev and V. Schomerus, RR charges of D2-branes in the WZW model,hep-th/0007096.
22. W. Taylor, D2-branes in B fields, J. High Energy Phys. 07 (2000) 039 [hep-th/0004141].
23. S. Stanciu, A note on D-branes in group manifolds: flux quantization and DO-charge, J. High Energy Phys. 10 (2000) 015 [hep-th/0006145].
24. J.M. Figueroa-O'Farrill and S. Stanciu, D-brane charge, flux quantization and relative (co)homology, J. High Energy Phys. 01 (2001) 006 [hep-th/0008038].
25. G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, The geometry of WZW brunes, J. Geom. Phys. 34 (2000) 162-190 [hep-th/9909030].
26. A. Recknagel and V. Schomerus, D-branes in Gepner models, Nucl. Phys. B 531 (1998) 185 [hep-th/9712186].
27. V.G. Kac, Infinite-dimensional Lie algebras, third edition, Cambridge University Press, Cambridge 1990.
28. L. Birke, J. Fuchs and C. Schweigert, Symmetry breaking boundary conditions and WZW orbifolds, Adv. Theor. Math. Phys. 3 (1999) 671 [hep-th/9905038].
29. K. Gawedzki, Conformai field theory: a case study,hep-th/9904145.
30. S. Stanciu, D-branes in group manifolds, J. High Energy Phys. 01 (2000) 025 [hep-th/9909163].
31. A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237];
32. Moduli spaces of D-branes in CFT-backgrounds, Fortsch. Phys. 48(2000) 195 [hep-th/9903139].
33. J.L. Cardy, Boundary conditions, fusion rules and the Verlinde formula, Nucl. Phys. B 324 (1989) 581.
34. R.E. Behrend, P.A. Pearce, V.B. Petkova and J.-B. Zuber, On the classification of bulk and boundary conformal field theories, Phys. Lett. B 444 (1998) 163 [hep-th/9809097];
35. Boundary conditions in rational conformal field theories, Nucl. Phys. B 570 (2000) 525 [hep-th/9908036].
36. J. Fuchs and C. Schweigert, Symmetry breaking boundaries, 1. General theory, Nucl. Phys. B 558 (1999) 419 [hep-th/9902132].
37. J. Hoppe, Diffeomorphism groups, quantization and SU(oo), Int. J. Mod. Phys. A 4 (1989) 5235.
38. J. Madore, Fuzzy space-time, gr-qc/9607065;
39. J. Madore and J. Mourad, Noncommutative Kaluza-Klein theory,hep-th/9601169.
40. A.Y. Alekseev, A. Recknagel and V. Schomerus, Non-commutative world-volume geometries: brunes on SU(2) and fuzzy spheres, J. High Energy Phys. 09 (1999) 023 [hep-th/9908040].
41. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
42. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219].
43. V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205].
44. I. Runkel, Boundary structure constants for the A-series Virasoro minimal models, Nucl. Phys. B 549 (1999) 563 [hep-th/9811178].
45. G. Felder, J. Fröhlich, J. Fuchs and C. Schweigert, Conformal boundary conditions and three-dimensional topological field theory, Phys. Rev. Lett. 84 (2000) 1659 [hep-th/9909140];
46. Correlation functions and boundary conditions in RCFT and three-dimensional topology,hep-th/9912239.
47. E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep-th/9510135].
48. H. Grosse, C. Klimcik and P. Presnajder, Towards finite quantum field theory in noncommutative geometry, Int. J. Theor. Phys. 35 (1996) 231-244 [hep-th/9505175];
49. Simple field theoretical models on noncommutative manifolds, hep-th/9510177;
50. Field theory on a super symmetric lattice, Comm. Math. Phys. 18(1997) 155 [hep-th/9507074].
51. U. Carow-Watamura and S. Watamura, Noncommutative geometry and gauge theory on fuzzy sphere, Comm. Math. Phys. 212 (2000) 395 [hep-th/9801195].
52. J. Madore, An Introduction to noncommutative differential geometry and its physical applications, Cambridge University Press, Cambridge 1999.
53. C. Klimcik, A nonperturbative regularization of the supersymmetric Schwinger model, Comm. Math. Phys. 206 (1999) 567 [hep-th/9903112].
54. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
55. I. Affleck, A.W.W. Ludwig, Exact conformal field theory results on the multichannel Kondo effect: Single-fermion Green's function, self-energy, and resistivity, Phys. Rev. B 48 (1993) 7297;
56. Universal noninteger 'groundstate degeneracy' in critical quantum systems, Phys. Rev. Lett. 67(1991) 161;
57. The Kondo effect, conformal field theory and fusion rules, Nucl. Phys. B 352 (1991) 849.
58. K. Bardakci and A. Konechny, Tachyon instability and Kondo type models, Nucl. Phys. B 598 (2001) 427 [hep-th/0009214].
59. J. Rosenberg, Continuous-trace algebras from the bundle theoretic point of view, J. Austral. Math. Soc. Ser., A 47 (1989) no. 3, 368.
60. J. Rosenberg, C. Schochet, The Kuenneth theorem and the universal coefficient theorem for equivariant K-theory and K K-theory, Mem. Amer. Math. Soc. 62 (1986), no. 348.
61. A. Wassermann, Coactions and Yang-Baxter equations for ergodic actions and subfactors, in Operator algebras and applications, Vol. 2, 203-236,
62. London Math. Soc. Lecture Note Ser., 136, Cambridge Univ. Press, Cambridge 1988.
63. D.S. Freed, M.J. Hopkins, N. Teleman, as reported at XII International Congress on Mathematical Physics, July 2000, London UK.
64. J.A. Harvey and G. Moore, Noncommutative tachyons and K-theory,hep-th/0009030.
65. A. Recknagel, D. Roggenkamp and V. Schomerus, On relevant boundary perturbations of unitary minimal models, Nucl. Phys. B 588 (2000) 552 [hep-th/0003110].
66. P. Di Francesco, P. Mathieu, D. Sénéchal, Conformai field theory, Springer-Ver lag, New York 1997.