Fusion of irreducible modules in script Wscript Lscript M(p, p′)

Journal of Physics A: Mathematical and Theoretical

Volumn 43, Issue 4, 2010, Pages

  Rasmussen, Jørgen ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84921773489     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/43/4/045210     Document Type: Article

References (23)

1. Pearce P A, Rasmussen J and Zuber J-B 2006 Logarithmic minimal models J. Stat. Mech. P11017 (arXiv:hep-th/0607232)
2. Rasmussen J and Pearce P A 2007 Fusion algebras of logarithmic minimal models J. Phys. A: Math. Theor. 40 13711-33 (arXiv:0707.3189 [hep-th])
3. Pearce P A, Rasmussen J and Ruelle P 2008 Integrable boundary conditions and script W-extended fusion in the logarithmic minimal models script Lscript M(1, p) J. Phys. A: Math. Theor. 41 295201 (arXiv:0803.0785 [hep-th])
4. Rasmussen J and Pearce P A 2008 script W-extended fusion algebra of critical percolation J. Phys. A: Math. Theor. 41 295208 (arXiv:0804.4335 [hep-th])
5. Rasmussen J 2009 script W-extended logarithmic minimal models Nucl. Phys. B 807 495-533 (arXiv:0805.2991 [hep-th])
6. Rasmussen J 2009 Polynomial fusion rings of script W-extended logarithmic minimal models J. Math. Phys. 50 043512 (arXiv:0812.1070 [hep-th])
7. Feigin B L, Gainutdinov A M, Semikhatov A M and Tipunin I Yu 2006 Logarithmic extensions of minimal models: characters and modular transformations Nucl. Phys. B 757 303-43 (arXiv:hep-th/0606196)
8. Cardy J L 1986 Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories Nucl. Phys. B 275 200-18
9. Cardy J L 1989 Boundary conditions, fusion rules and the Verlinde formula Nucl. Phys. B 324 581-96
10. Nahm W 1994 Quasi-rational fusion products Int. J. Mod. Phys. B 8 3693-702 (arXiv:hep-th/9402039)
11. Gaberdiel M R and Kausch H G 1996 Indecomposable fusion products Nucl. Phys. B 477 293-318 (arXiv:hep-th/9604026)
12. Gaberdiel M R and Kausch H G 1996 A rational logarithmic conformal field theory Phys. Lett. B 386 131-7 (arXiv:hep-th/9606050)
13. GaberdielMR and Runkel I 2008 From boundary to bulk in logarithmic CFT J. Phys. A:Math. Theor. 41 075402 (arXiv:0707.0388 [hep-th])
14. Gaberdiel M R, Runkel I and Wood S 2009 Fusion rules and boundary conditions in the c = 0 triplet model J. Phys. A: Math. Theor. 42 325403 (arXiv:0905.0916 [hep-th])
15. Rasmussen J 2009 Fusion matrices, generalized Verlinde formulas, and partition functions in script Wscript Lscript M(1, p) arXiv:0908.2014 [hep-th]
16. Eberle H and FlohrM2006 Virasoro representations and fusion for general augmented minimal models J. Phys. A: Math. Gen. 39 15245-86 (arXiv:hep-th/0604097)
17. p,q triplet model J. Phys. A. Math. Theor. 43 045212 (arXiv:0907.4421 [hep-th])
18. Belavin A A, Polyakov A M and Zamolodchikov A B 1984 Infinite conformal symmetry in two-dimensional quantum field theory Nucl. Phys. B 214 333-80
19. Di Francesco P, Mathieu P and Sénéchal D 1996 Conformal Field Theory (Berlin: Springer)
20. Gepner D 1991 Fusion rings and geometry Commun. Math. Phys. 141 381-411
21. Di Francesco P and Zuber J-B 1993 Fusion potentials I J. Phys. A: Math. Gen. 26 1441-54 (arXiv: hep-th/9211138)
22. Aharony O 1993 Generalized fusion potentials Phys. Lett. B 306 276-82 (arXiv:hep-th/9301118)
23. Bouwknegt P and Ridout D 2006 Presentations of Wess-Zumino-Witten fusion rings Rev. Math. Phys. 18 201-32 (arXiv:hep-th/0602057)