Level-rank duality of D-branes on the SU(N) group manifold

Nuclear Physics B

Volumn 740, Issue 1-2, 2006, Pages 181-194

  Naculich, Stephen G ^a   Schnitzer, Howard J ^b  

^a BOWDOIN COLLEGE   (United States)

^b BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644685143     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.01.041     Document Type: Article

References (69)

1. V. Schomerus Lectures on branes in curved backgrounds Class. Quantum Grav. 19 2002 5781-5847
2. C. Klimcik P. Severa Open strings and D-branes in WZNW models Nucl. Phys. B 488 1997 653-676
3. M. Kato T. Okada D-branes on group manifolds Nucl. Phys. B 499 1997 583-595
4. R.E. Behrend P.A. Pearce V.B. Petkova J.-B. Zuber On the classification of bulk and boundary conformal field theories Phys. Lett. B 444 1998 163-166
5. R.E. Behrend P.A. Pearce V.B. Petkova J.-B. Zuber Boundary conditions in rational conformal field theories Nucl. Phys. B 570 2000 525-589
6. A.Y. Alekseev V. Schomerus D-branes in the WZW model Phys. Rev. D 60 1999 061901 hep-th/9812193
7. K. Gawedzki Conformal field theory: A case study hep-th/9904145
8. L. Birke J. Fuchs C. Schweigert Symmetry breaking boundary conditions and WZW orbifolds Adv. Theor. Math. Phys. 3 1999 671-726
9. A.Y. Alekseev A. Recknagel V. Schomerus Non-commutative world-volume geometries: Branes on SU(2) and fuzzy spheres JHEP 9909 1999 023 hep-th/ 9908040
10. A.Y. Alekseev A. Recknagel V. Schomerus Brane dynamics in background fluxes and non-commutative geometry JHEP 0005 2000 010 hep-th/0003187
11. G. Felder J. Frohlich J. Fuchs C. Schweigert The geometry of WZW branes J. Geom. Phys. 34 2000 162-190
12. S. Stanciu D-branes in group manifolds JHEP 0001 2000 025 hep-th/9909163
13. S. Stanciu A note on D-branes in group manifolds: Flux quantization and D0-charge JHEP 0010 2000 015 hep-th/0006145
14. S. Stanciu An illustrated guide to D-branes in SU(3) hep-th/0111221
15. J.M. Figueroa-O'Farrill S. Stanciu D-brane charge, flux quantization and relative (co)homology JHEP 0101 2001 006 hep-th/0008038
16. C. Bachas M.R. Douglas C. Schweigert Flux stabilization of D-branes JHEP 0005 2000 048 hep-th/0003037
17. J. Pawelczyk SU(2) WZW D-branes and their noncommutative geometry from DBI action JHEP 0008 2000 006 hep-th/0003057
18. W. Taylor D2-branes in B fields JHEP 0007 2000 039 hep-th/0004141
19. A. Alekseev V. Schomerus RR charges of D2-branes in the WZW model hep-th/ 0007096
20. A.Y. Alekseev A. Recknagel V. Schomerus Open strings and non-commutative geometry of branes on group manifolds Mod. Phys. Lett. A 16 2001 325-336
21. S. Fredenhagen V. Schomerus Branes on group manifolds, gluon condensates, and twisted K-theory JHEP 0104 2001 007 hep-th/0012164
22. J.M. Maldacena G.W. Moore N. Seiberg Geometrical interpretation of D-branes in gauged WZW models JHEP 0107 2001 046 hep-th/0105038
23. J.M. Maldacena G.W. Moore N. Seiberg D-brane instantons and K-theory charges JHEP 0111 2001 062 hep-th/0108100
24. T. Quella V. Schomerus Symmetry breaking boundary states and defect lines JHEP 0206 2002 028 hep-th/0203161
25. A.Y. Alekseev S. Fredenhagen T. Quella V. Schomerus Non-commutative gauge theory of twisted D-branes Nucl. Phys. B 646 2002 127-157
26. T. Quella On the hierarchy of symmetry breaking D-branes in group manifolds JHEP 0212 2002 009 hep-th/0209157
27. K. Gawedzki Boundary WZW, G/H, G/G and CS theories Ann. Inst. Henri Poincaré 3 2002 847-881
28. K. Gawedzki N. Reis WZW branes and gerbes Rev. Math. Phys. 14 2002 1281-1334
29. P. Bouwknegt P. Dawson D. Ridout D-branes on group manifolds and fusion rings JHEP 0212 2002 065 hep-th/0210302
30. P. Bouwknegt D. Ridout A note on the equality of algebraic and geometric D-brane charges in WZW models JHEP 0405 2004 029 hep-th/0312259
31. M.R. Gaberdiel T. Gannon Boundary states for WZW models Nucl. Phys. B 639 2002 471-501
32. M.R. Gaberdiel T. Gannon The charges of a twisted brane JHEP 0401 2004 018 hep-th/0311242
33. M.R. Gaberdiel T. Gannon D. Roggenkamp The D-branes of SU (N) JHEP 0407 2004 015 hep-th/0403271
34. M.R. Gaberdiel T. Gannon D. Roggenkamp The coset D-branes of SU (N) JHEP 0410 2004 047 hep-th/0404112
35. S. Schafer-Nameki D-branes in N = 2 coset models and twisted equivariant K-theory hep-th/0308058
36. V. Braun S. Schafer-Nameki Supersymmetric WZW models and twisted K-theory of SO(3) hep-th/0403287
37. S. Fredenhagen D-brane charges on SO(3) JHEP 0411 2004 082 hep-th/0404017
38. S. Fredenhagen M.R. Gaberdiel T. Mettler Charges of twisted branes: The exceptional cases JHEP 0505 2005 058 hep-th/0504007
39. S. Fredenhagen T. Quella Generalised permutation branes JHEP 0511 2005 004 hep-th/0509153
40. R. Minasian G.W. Moore K-theory and Ramond-Ramond charge JHEP 9711 1997 002 hep-th/9710230
41. E. Witten D-branes and K-theory JHEP 9812 1998 019 hep-th/9810188
42. G.W. Moore K-theory from a physical perspective hep-th/0304018
43. P. Bouwknegt V. Mathai D-branes, B-fields and twisted K-theory JHEP 0003 2000 007 hep-th/0002023
44. D.S. Freed The Verlinde algebra is twisted equivariant K-theory Turk. J. Math. 25 2001 159-167
45. D.S. Freed Twisted K-theory and loop groups math.AT/0206237
46. D.S. Freed M.J. Hopkins C. Teleman Twisted K-theory and loop group representations math.AT/0312155
47. V. Braun Twisted K-theory of Lie groups JHEP 0403 2004 029 hep-th/0305178
48. C.L. Douglas On the twisted K-homology of simple Lie groups math.AT/ 0404017
49. N WZW models Nucl. Phys. B 347 1990 687-742
50. N WZW models and their braid matrices Phys. Lett. B 244 1990 235-240
51. S.G. Naculich H.A. Riggs H.J. Schnitzer Group level duality in WZW models and Chern-Simons theory Phys. Lett. B 246 1990 417-422
52. J. Fuchs P. van Driel Some symmetries of quantum dimensions J. Math. Phys. 31 1990 1770-1775
53. D. Altschuler M. Bauer C. Itzykson The branching rules of conformal embeddings Commun. Math. Phys. 132 1990 349-364
54. H. Saleur D. Altschuler Level rank duality in quantum groups Nucl. Phys. B 354 1991 579-613
55. A. Kuniba T. Nakanishi Level rank duality in fusion RSOS models Proceedings of the International Colloquium on Modern Quantum Field Theory Bombay, January 1990 1991 World Scientific Singapore
56. E.J. Mlawer S.G. Naculich H.A. Riggs H.J. Schnitzer Group level duality of WZW fusion coefficients and Chern-Simons link observables Nucl. Phys. B 352 1991 863-896
57. See also M.A. Walton Conformal branching rules and modular invariants Nucl. Phys. B 322 1989 775
58. K fusion rings Mod. Phys. Lett. A 7 1992 689-700
59. S.G. Naculich H.A. Riggs H.J. Schnitzer Simple current symmetries, rank level duality, and linear skein relations for Chern-Simons graphs Nucl. Phys. B 394 1993 445-508
60. E.J. Mlawer H.A. Riggs H.J. Schnitzer Integrable N = 2 Landau-Ginzburg theories from quotients of fusion rings Nucl. Phys. B 418 1994 603-636
61. J.M. Isidro J.P. Nunes H.J. Schnitzer BF Theories and group-level duality Nucl. Phys. B 465 1996 315-328
62. S.G. Naculich H.J. Schnitzer Superconformal coset equivalence from level-rank duality Nucl. Phys. B 505 1997 727-748
63. S.G. Naculich H.J. Schnitzer Level-rank duality of untwisted and twisted D-branes hep-th/0601175
64. E.P. Verlinde Fusion rules and modular transformations in 2d conformal field theory Nucl. Phys. B 300 1988 360
65. N. Ishibashi The boundary and crosscap states in conformal field theories Mod. Phys. Lett. A 4 1989 251
66. J.L. Cardy Boundary conditions, fusion rules and the Verlinde formula Nucl. Phys. B 324 1989 581
67. I. Affleck A.W.W. Ludwig The Kondo effect, conformal field theory and fusion rules Nucl. Phys. B 352 1991 849-862
68. I. Affleck A.W.W. Ludwig Critical theory of overscreened Kondo fixed points Nucl. Phys. B 360 1991 641-696
69. W. Fulton J. Harris Representation Theory 1991 Springer-Verlag