The geometry of WZW branes

Journal of Geometry and Physics

Volumn 34, Issue 2, 2000, Pages 162-190

  Felder, Giovanni ^a   Fröhlich, J ürg ^a   Fuchs, J ürgen ^a   Schweigert, Christoph ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

81R10; 81T30; 81T40; Boundary conditions; Branes; Conformal field theory; Quantum field theory; WZW theory

Indexed keywords

EID: 0034196037     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(99)00061-3     Document Type: Article

References (33)

1. J. Fröhlich, K. Gawȩdzki, in: J. Feldman et al. (Eds.), Mathematical Quantum Theory I: Field Theory and Many Body Theory, American Mathematical Society, Providence, RI, 1994, p. 57.
2. Di Vecchia P., Frau M., Pesando I., Sciuto S., Lerda A., Russo R. Classical p-branes from boundary state. Nucl. Phys. B. 507:1997;259.
3. Fuchs J., Schweigert C. Branes: from free fields to general backgrounds. Nucl. Phys. B. 530:1998;99.
4. Cardy J.L. Boundary conditions, fusion rules and the Verlinde formula. Nucl. Phys. B. 324:1989;581.
5. Alekseev A.Yu., Schomerus V. D-branes in the WZW model. Phys. Rev. D. 60:1999;1901.
6. K. Gawȩdzki, Conformal field theory: a case study, Preprint hep-th/9904145.
7. Fuchs J., Schweigert C. Symmetry breaking boundaries I. General theory. Nucl. Phys. B. 558:1999;419.
8. Fuchs J., Schweigert C. Symmetry breaking boundaries II. More structure: examples. Nucl. Phys. B. 568:2000;543.
9. R.E. Behrend, P.A. Pearce, V.B. Petkova, J.-B. Zuber, Boundary conditions in rational conformal field theories, Preprint hep-th/9908036.
10. Fuchs J., Schweigert C. A classifying algebra for boundary conditions. Phys. Lett. B. 414:1997;251.
11. Lewellen D.C. Sewing constraints for conformal field theories on surfaces with boundaries. Nucl. Phys. B. 372:1992;654.
12. Pradisi G., Sagnotti A., Stanev Ya.S. Completeness conditions for boundary operators in 2D conformal field theory. Phys. Lett. B. 381:1996;97.
13. * -categories J. Math. Phys. 40:1999;408.
14. Runkel I. Boundary structure constants for the A-series Virasoro minimal models. Nucl. Phys. B. 549:1999;563.
15. Nahm W. Quasi-rational fusion products. Int. J. Mod. Phys. B. 8:1994;3693.
16. H. García-Compeán, J.F. Plebanski, D-branes on group manifolds and deformation quantization, Preprint hep-th/9907183.
17. A.S. Cattaneo, G. Felder, A path integral approach to the Kontsevich quantization formula, Preprint math.QA/9902090.
18. Alekseev A.Yu., Recknagel A., Schomerus V. Noncommutative world volume geometries: branes on su(2) and fuzzy spheres. J. High Energy Phys. 99(9):1999;23.
19. R. Wendt, Eine Verallgemeinerung der Weylschen Charakterformel, Diploma Thesis, Hamburg, March 1998.
20. R. Wendt, Weyl's character formula for non-connected Lie groups and orbital theory for twisted affine Lie algebras, Preprint math.RT/9909059.
21. L. Birke, J. Fuchs, C. Schweigert, Symmetry breaking boundary conditions and WZW orbifolds, Adv. Theor. Math. Phys. 3 (1999) 3.
22. Fuchs J., Schellekens A.N., Schweigert C. From Dynkin diagram symmetries to fixed point structures. Commun. Math. Phys. 180:1996;39.
23. Fuchs J., Ray U., Schweigert C. Some automorphisms of Generalized Kac-Moody algebras. J. Algebra. 191:1997;518.
24. Felder G., Gawȩdzki K., Kupiainen A. Spectra of Wess-Zumino-Witten models with arbitrary simple groups. Commun. Math. Phys. 117:1988;127.
25. Felder G., Gawȩdzki K., Kupiainen A. The spectrum of Wess-Zumino-Witten models. Nucl. Phys. B. 299:1988;355.
26. D.-E. Diaconescu, M.R. Douglas, J. Gomis, Fractional branes and wrapped branes, J. High Energy Phys. 98 (2) (1998) 13.
27. Dijkgraaf R., Vafa C., Verlinde E., Verlinde H. The operator algebra of orbifold models. Commun. Math. Phys. 123:1989;485.
28. Schellekens A.N., Yankielowicz S. Simple currents, modular invariants, and fixed points. Int. J. Mod. Phys. A. 5:1990;2903.
29. Fuchs J., Schellekens A.N., Schweigert C. A matrix. S for all simple current extensions Nucl. Phys. B. 473:1996;323.
30. V.G. Kac, Infinite-dimensional Lie Algebras, 3rd edn., Cambridge University Press, Cambridge, 1990.
31. M. Walton, Algorithm for WZW fusion rules: a proof, Phys. Lett. B 241 (1990) 365 [Erratum, Phys. Lett. B 244 (1990) 580].
32. P. Furlan, A.Ch. Ganchev, V.B. Petkova, Quantum groups and fusion rules multiplicities, Nucl. Phys. B 343 (1990) 205.
33. J. Fuchs, P. van Driel, WZW fusion rules, quantum groups, and the modular matrix S, Nucl. Phys. B 346 (1990) 632.