Bi-branes: Target space geometry for world sheet topological defects

Journal of Geometry and Physics

Volumn 58, Issue 5, 2008, Pages 576-598

  Fuchs, Jürgen ^a   Schweigert, Christoph ^b   Waldorf, Konrad ^b  

^a KARLSTAD UNIVERSITY   (Sweden)

^b UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Bi brane; Biconjugacy class; Bimodule; Fusion; Topological defect

Indexed keywords

EID: 43049126842     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geomphys.2007.12.009     Document Type: Article

References (30)

1. Alekseev A.Yu., Malkin A.Z., and Meinrenken E. Lie group valued moment maps. J. Differential Geom. 48 (1998) 445. dg-ga/9707021
2. Alekseev A.Yu., and Schomerus V. D-branes in the WZW model. Phys. Rev. D 60 (1999) 061901. hep-th/9812193
3. Bachas C., Douglas M., and Schweigert C. Flux stabilization of D-branes. J. High Energy Phys. 0005 (2000) 048. hep-th/0003037
4. Bott R., and Tu L.W. Differential Forms in Algebraic Topology (1982), Springer-Verlag, New York
5. Bredon G.E. Topology and Geometry (1993), Springer-Verlag, New York
6. Cardy J.L. Boundary conditions, fusion rules and the Verlinde formula. Nuclear Phys. B 324 (1989) 581
7. Di Vecchia P., Frau M., Pesando I., Sciuto S., Lerda A., and Russo R. Classical p-branes from boundary state. Nuclear Phys. B 507 (1997) 259. hep-th/9707068
8. Felder G., Fröhlich J., Fuchs J., and Schweigert C. The geometry of WZW branes. J. Geom. Phys. 34 (2000) 162. hep-th/9909030
9. Figueroa-O'Farrill J., and Stanciu S. D-brane charge, flux quantisation and relative (co)homology. J. High Energy Phys. 0101 (2001) 006. hep-th/0008038
10. Fjelstad J., Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators V: Proof of modular invariance and factorisation. Theory Appl. Categ. 16 (2006) 342. hep-th/0503194
11. Fredenhagen S., and Quella T. Generalised permutation branes. J. High Energy Phys. 0511 (2005) 004. hep-th/0509153
12. Frobenius F.G. Über Gruppencharaktere. Sitzungsber. Preuss. Akad. Wiss. (Phys.-Math. Kl.) (1896) 985
13. Fröhlich J., Fuchs J., Runkel I., and Schweigert C. Kramers-Wannier duality from conformal defects. Phys. Rev. Lett. 93 (2004) 070601. cond-mat/0404051
14. Fröhlich J., Fuchs J., Runkel I., and Schweigert C. Duality and defects in rational conformal field theory. Nuclear Phys. B 763 (2007) 354. hep-th/0607247
15. Fröhlich J., and Gawȩdzki K. Conformal field theory and geometry of strings. In: Feldman J., et al. (Ed). Mathematical Quantum Theory I: Field Theory and Many Body Theory (1994), American Mathematical Society, Providence 57. hep-th/9310187
16. Fuchs J., Gaberdiel M., Runkel I., and Schweigert C. Topological defects for the free boson CFT. J. Phys. A 40 (2007) 11403. hep-th/0705.3129
17. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators I: Partition functions. Nuclear Phys. B 646 (2002) 353. hep-th/0204148
18. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators IV: Structure constants and correlation functions. Nuclear Phys. B 715 (2005) 539. hep-th/0412290
19. Fuchs J., and Wurtz A. On the geometry of coset branes. Nuclear Phys. B 724 (2005) 503. hep-th/0505117
20. Gawȩdzki K. Abelian and non-Abelian branes in WZW models and gerbes. Comm. Math. Phys. 258 (2005) 23. hep-th/0406072
21. Gawȩdzki K., and Reis N. WZW branes and gerbes. Rev. Math. Phys. 14 (2002) 1281. hep-th/0205233
22. Hoehnke H.-J., and Johnson K.W. The 1-, 2-, and 3-characters determine a group. Bull. Amer. Math. Soc. 27 (1992) 243
23. Hori K. D-branes, T-duality, and index theory. Adv. Theor. Math. Phys. 3 (1999) 2. hep-th/9902102
24. Jeffrey L.C., and Weitsman J. Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula. Comm. Math. Phys. 150 (1992) 593
25. A.N. Kapustin, E. Witten, Electric-magnetic duality and the geometric Langlands program. hep-th/0604151, preprint
26. Petkova V.B., and Zuber J.-B. Generalized twisted partition functions. Phys. Lett. B 504 (2001) 157. hep-th/0011021
27. Stanciu S. D-branes in group manifolds. J. High Energy Phys. 0001 (2000) 025. hep-th/9909163
28. Waldorf K. More morphisms between bundle gerbes. Theory Appl. Categ. 18 (2007) 240. math. CT/0702652
29. Witten E. Non-abelian bosonization in two dimensions. Comm. Math. Phys. 92 (1984) 455
30. Wong E., and Affleck I. Tunneling in quantum wires: A boundary conformal field theoryapproach. Nuclear Phys. B 417 (1994) 403