Boundaries, defects and Frobenius algebras

Fortschritte der Physik

Volumn 51, Issue 7-8, 2003, Pages 850-855

  Fuchs, J ^a   Runkel, I ^b,c   Schweigert, C ^b,d  

^a Institutionen för Fysik   (Sweden)

^b LPTHE   (France)

^c HUMBOLDT UNIVERSITY   (Germany)

^d RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038717682     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/prop.200310107     Document Type: Conference Paper

References (17)

1. P. Bantay, Characters and modular properties of permutation orbifolds, Phys. Lett. B 419, 175 (1998).
2. R. E. Behrend, P. A. Pearce, V. B. Petkova, and J.-B. Zuber, Boundary conditions in rational conformal field theories, Nucl. Phys. B 579, 707 (2000).
3. S. K. Blau, M. Clements, S. Della Pietra, S. Carlip, and V. Della Pietra, The string amplitude on surfaces with boundaries and crosscaps, Nucl. Phys. B 301, 285 (1988).
4. L. A. Borisov, M. B. Halpern, and C. Schweigert, Systematic approach to cyclic orbifolds, Int. J. Mod. Phys. A 13, 125 (1998).
5. P. Etingof, D. Nikshych, and V. Ostrik, On fusion categories, preprint math.QA/0203060.
6. G. Felder, J. Fröhlich, J. Fuchs, and C. Schweigert, Conformal boundary conditions and three-dimensional topological field theory, Phys. Rev. Lett. 84, 1659 (2000) hep-th/9909140; Correlation functions and boundary conditions in RCFT and three-dimensional topology, Compos. Math. 131, 189 (2002).
7. G. Felder, J. Fröhlich, J. Fuchs, and C. Schweigert, Conformal boundary conditions and three-dimensional topological field theory, Phys. Rev. Lett. 84, 1659 (2000) hep-th/9909140; Correlation functions and boundary conditions in RCFT and three-dimensional topology, Compos. Math. 131, 189 (2002).
8. J. Fröhlich, B. Pedrini, C. Schweigert, and J. Walcher, Universality in quantum Hall systems: coset construction of incompressible states, J. Stat. Phys. 103, 527 (2001).
9. J. Fuchs, I. Runkel, and C. Schweigert, Conformal correlation functions, Frobenius algebras and triangulations, Nucl. Phys. B 624, 452 (2002).
10. J. Fuchs, I. Runkel, and C. Schweigert, TFT construction of RCFT correlators I: Partition functions, Nucl. Phys. B 646, 353 (2002).
11. J. Fuchs and C. Schweigert, A classifying algebra for boundary conditions, Phys. Lett. B 414, 251 (1997)
12. J. Fuchs and C. Schweigert, Lie algebra automorphisms in conformal field theory, Contemp. Math. 297, 117 (2002).
13. A. A. Kirillov, Modular categories and orbifold models, Commun. Math. Phys. 229, 309 (2002).
14. G. Pradisi, A. Sagnotti, and Ya. S. Stanev, Completeness conditions for boundary operators in 2D conformal field theory, Phys. Lett. B 381, 97 (1996).
15. A. Recknagel, Permutation branes, JHEP 0304, 041 (2003).
16. C. Schweigert and J. Fuchs, The world sheet revisited, preprint hep-th/0105266.
17. V. G. Turaev, Quantum Invariants of Knots and 3-Manifolds (de Gruyter, New York, 1994).