Branes in the GL (1 | 1) WZNW model

Nuclear Physics B

Volumn 792, Issue 3, 2008, Pages 257-283

  Creutzig, T ^a   Quella, T ^b   Schomerus, V ^a  

^a DESY   (Germany)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

D branes; Field theory; Logarithmic conformal; Supergroup WZNW models

Indexed keywords

EID: 37249003832     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2007.09.014     Document Type: Article

References (54)

1. Parisi G., and Sourlas N. Random magnetic fields, supersymmetry and negative dimensions. Phys. Rev. Lett. 43 (1979) 744
2. Efetov K.B. Supersymmetry and theory of disordered metals. Adv. Phys. 32 (1983) 53-127
3. Bernard D. (Perturbed) conformal field theory applied to 2D disordered systems: An introduction. hep-th/9509137
4. Maassarani Z., and Serban D. Non-unitary conformal field theory and logarithmic operators for disordered systems. Nucl. Phys. B 489 (1997) 603-625. hep-th/9605062
5. Zirnbauer M.R. Conformal field theory of the integer quantum Hall plateau transition. hep-th/9905054
6. Bhaseen M.J., Kogan I.I., Solovev O.A., Tanigichi N., and Tsvelik A.M. Towards a field theory of the plateau transitions in the integer quantum Hall effect. Nucl. Phys. B 580 (2000) 688-720. cond-mat/9912060
7. Guruswamy S., LeClair A., and Ludwig A.W.W. g l (N | N) super-current algebras for disordered Dirac fermions in two dimensions. Nucl. Phys. B 583 (2000) 475-512. cond-mat/9909143
8. Gurarie V., and Ludwig A.W.W. Conformal algebras of 2D disordered systems. J. Phys. A 35 (2002) L377-L384. cond-mat/9911392
9. Ludwig A.W.W. A free field representation of the osp (2 | 2) current algebra at level k = - 2, and Dirac fermions in a random SU (2) gauge potential. cond-mat/0012189
10. Tsvelik A.M. Evidence for the PSL (2 | 2) Wess-Zumino-Novikov-Witten model as a model for the plateau transition in quantum Hall effect: Evaluation of numerical simulations. Phys. Rev. B 75 (2007) 184201. cond-mat/0702611
11. 5 background. Nucl. Phys. B 533 (1998). hep-th/9805028
12. Berkovits N., Vafa C., and Witten E. Conformal field theory of AdS background with Ramond-Ramond flux. JHEP 9903 (1999) 018. hep-th/9902098
13. Bershadsky M., Zhukov S., and Vaintrob A. PSL (n | n) sigma model as a conformal field theory. Nucl. Phys. B 559 (1999) 205-234. hep-th/9902180
14. 2 as a coset supermanifold. Nucl. Phys. B 567 (2000) 61-86. hep-th/9907200
15. Rozansky L., and Saleur H. Quantum field theory for the multivariable Alexander-Conway polynomial. Nucl. Phys. B 376 (1992) 461-509
16. Schomerus V., and Saleur H. The GL (1 | 1) WZW model: From supergeometry to logarithmic CFT. Nucl. Phys. B 734 (2006) 221-245. hep-th/0510032
17. Flohr M. Bits and pieces in logarithmic conformal field theory. Int. J. Mod. Phys. A 18 (2003) 4497-4592. hep-th/0111228
18. Gaberdiel M.R. An algebraic approach to logarithmic conformal field theory. Int. J. Mod. Phys. A 18 (2003) 4593-4638. hep-th/0111260
19. Gaberdiel M.R., and Kausch H.G. A local logarithmic conformal field theory. Nucl. Phys. B 538 (1999) 631-658. hep-th/9807091
20. Götz G., Quella T., and Schomerus V. The WZNW model on PSU (1, 1 | 2). JHEP 0703 (2007) 003. hep-th/0610070
21. Saleur H., and Schomerus V. On the SU (2 | 1) WZW model and its statistical mechanics applications. Nucl. Phys. B 775 (2007) 312-340. hep-th/0611147
22. Quella T., and Schomerus V. Free fermion resolution of supergroup WZNW models. arXiv: 0706.0744 [hep-th]
23. Saleur H. Lectures on non perturbative field theory and quantum impurity problems. cond-mat/9812110
24. Saleur H. Lectures on non perturbative field theory and quantum impurity problems. II. cond-mat/0007309
25. Schomerus V. Lectures on branes in curved backgrounds. Class. Quantum Grav. 19 (2002) 5781-5847. hep-th/0209241
26. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. I: Partition functions. Nucl. Phys. B 646 (2002) 353-497. hep-th/0204148
27. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. II: Unoriented world sheets. Nucl. Phys. B 678 (2004) 511-637. hep-th/0306164
28. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. III: Simple currents. Nucl. Phys. B 694 (2004) 277-353. hep-th/0403157
29. Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. IV: Structure constants and correlation functions. Nucl. Phys. B 715 (2005) 539-638. hep-th/0412290
30. Fjelstad J., Fuchs J., Runkel I., and Schweigert C. TFT construction of RCFT correlators. V: Proof of modular invariance and factorisation. Theor. Appl. Categories 16 (2006) 342-433. hep-th/0503194
31. Schomerus V. D-branes and deformation quantization. JHEP 9906 (1999) 030. hep-th/9903205
32. Alekseev A.Yu., Recknagel A., and Schomerus V. Non-commutative world-volume geometries: Branes on SU(2) and fuzzy spheres. JHEP 9909 (1999) 023. hep-th/9908040
33. Fredenhagen S., and Schomerus V. Branes on group manifolds, gluon condensates, and twisted K-theory. JHEP 0104 (2001) 007. hep-th/0012164
34. Maldacena J., Moore G.W., and Seiberg N. D-brane instantons and K-theory charges. JHEP 0111 (2001) 062. hep-th/0108100
35. Kogan I.I., and Wheater J.F. Boundary logarithmic conformal field theory. Phys. Lett. B 486 (2000) 353-361. hep-th/0003184
36. Ishimoto Y. Boundary states in boundary logarithmic CFT. Nucl. Phys. B 619 (2001) 415-433. hep-th/0103064
37. Kawai S., and Wheater J.F. Modular transformation and boundary states in logarithmic conformal field theory. Phys. Lett. B 508 (2001) 203. hep-th/0103197
38. Bredthauer A., and Flohr M. Boundary states in c = - 2 logarithmic conformal field theory. Nucl. Phys. B 639 (2002) 450-470. hep-th/0204154
39. Bredthauer A. Boundary states and symplectic fermions. Phys. Lett. B 551 (2003) 378-386. hep-th/0207181
40. Pearce P.A., Rasmussen J., and Zuber J.-B. Logarithmic minimal models. J. Stat. Mech. 0611 (2006) P017. hep-th/0607232
41. Gaberdiel M.R., and Runkel I. The logarithmic triplet theory with boundary. J. Phys. A 39 (2006) 14745-14780. hep-th/0608184
42. Read N., and Saleur H. Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions. Nucl. Phys. B 613 (2001) 409. hep-th/0106124
43. Read N., and Saleur H. Associative-algebraic approach to logarithmic conformal field theories. Nucl. Phys. B 777 (2007) 316-351. hep-th/0701117
44. Cardy J.L. Boundary conditions, fusion rules and the Verlinde formula. Nucl. Phys. B 324 (1989) 581
45. Recknagel A., and Schomerus V. D-branes in Gepner models. Nucl. Phys. B 531 (1998) 185-225. hep-th/9712186
46. Alekseev A.Yu., and Schomerus V. D-branes in the WZW model. Phys. Rev. D 60 (1999) 061901. hep-th/9812193
47. Felder G., Fröhlich J., Fuchs J., and Schweigert C. The geometry of WZW branes. J. Geom. Phys. 34 (2000) 162-190. hep-th/9909030
48. Götz G., Quella T., and Schomerus V. Representation theory of s l (2 | 1). J. Algebra 312 (2007) 829-848. hep-th/0504234
49. Mumford D. Tata Lectures on Theta, vols. I, II. Progress in Mathematics vol. 43 (1984), Birkhäuser
50. Fuchs J., and Schweigert C. Symmetry breaking boundaries. I: General theory. Nucl. Phys. B 558 (1999) 419. hep-th/9902132
51. Birke L., Fuchs J., and Schweigert C. Symmetry breaking boundary conditions and WZW orbifolds. Adv. Theor. Math. Phys. 3 (1999) 671-726. hep-th/9905038
52. Recknagel A., and Schomerus V. Boundary deformation theory and moduli spaces of D-branes. Nucl. Phys. B 545 (1999) 233. hep-th/9811237
53. Gaberdiel M.R., and Runkel I. From boundary to bulk in logarithmic CFT. arXiv: 0707.0388 [hep-th]
54. Rozansky L., and Saleur H. S and T matrices for the U (1 | 1) WZW model: Application to surgery and three manifolds invariants based on the Alexander-Conway polynomial. Nucl. Phys. B 389 (1993) 365-423. hep-th/9203069