The GGl (1 1) WZW-model: From supergeometry to logarithmic CFT

Nuclear Physics B

Volumn 734, Issue 3, 2006, Pages 221-245

  Schomerus, Volker ^a,b,c   Saleur, Hubert ^a,b,c  

^a DESY   (Germany)

^b CEA SACLAY   (France)

^c UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29744443995     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.11.013     Document Type: Article

References (39)

1. G. Parisi N. Sourlas Self avoiding walk and supersymmetry J. Phys. Lett. (Paris) 41 1980 L403
2. K.B. Efetov Supersymmetry and theory of disordered metals Adv. Phys. 32 1983 53
3. H.A. Weidenmüller M. Zirnbauer Instanton approximation to the graded non-linear sigma model for the integer quantum Hall effect Nucl. Phys. B 305 1988 339
4. M.R. Zirnbauer Conformal field theory of the integer quantum Hall plateau transition hep-th/9905054
5. N. Read H. Saleur Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions Nucl. Phys. B 613 2001 409 hep-th/0106124
6. S. Sethi Supermanifolds, rigid manifolds and mirror symmetry Nucl. Phys. B 430 1994 31 hep-th/9404186
7. A. Schwarz Sigma models having supermanifolds as target spaces Lett. Math. Phys. 38 1996 91 hep-th/9506070
8. M. Aganagic C. Vafa Mirror symmetry and supermanifolds hep-th/0403192
9. A. Kapustin Topological strings on noncommutative manifolds Int. J. Geom. Methods Mod. Phys. 1 2004 49 hep-th/0310057
10. V. Mathai J.M. Rosenberg On mysteriously missing T-duals, H-flux and the T-duality group hep-th/0409073
11. V. Mathai J.M. Rosenberg T-duality for torus bundles via noncommutative topology Commun. Math. Phys. 253 2004 705 hep-th/0401168
12. 5 background Nucl. Phys. B 533 1998 109 hep-th/ 9805028
13. N. Berkovits C. Vafa E. Witten Conformal field theory of AdS background with Ramond-Ramond flux JHEP 9903 1999 018 hep-th/9902098
14. M. Bershadsky S. Zhukov A. Vaintrob PSL(n n) sigma model as a conformal field theory Nucl. Phys. B 559 1999 205 hep-th/9902180
15. 2d+1 backgrounds JHEP 9906 1999 013 hep-th/9905032
16. 2 as a coset supermanifold Nucl. Phys. B 567 2000 61 hep-th/9907200
17. 5 superstring Phys. Rev. D 69 2004 046002 hep-th/ 0305116
18. N. Mann J. Polchinski Bethe ansatz for a quantum supercoset sigma model hep-th/0508232
19. S. Guruswamy A. LeClair A.W.W. Ludwig gl(N N) Super-current algebras for disordered Dirac fermions in two dimensions Nucl. Phys. B 583 2000 475 cond-mat/9909143
20. M.J. Bhaseen I.I. Kogan O.A. Solovev N. Tanigichi A.M. Tsvelik Towards a field theory of the plateau transitions in the integer quantum Hall effect Nucl. Phys. B 580 2000 688 cond-mat/9912060
21. H. Saleur B. Wehefritz-Kaufmann Integrable quantum field theories with OSP(m/2n) symmetries Nucl. Phys. B 628 2002 407 hep-th/0112095
22. F.H.L. Essler H. Frahm H. Saleur Continuum limit of the integrable sl(2 1 3-3̄ superspin chain Nucl. Phys. B 712 2005 513 cond-mat/0501197
23. A.M. Semikhatov A. Taormina I.Yu. Tipunin Higher level Appell functions, modular transformations and characters math.QA/0311314
24. L. Rozansky H. Saleur Quantum field theory for the multivariable Alexander-Conway polynomial Nucl. Phys. B 376 1992 461
25. V. Gurarie Logarithmic operators in conformal field theory Nucl. Phys. B 410 1993 535 hep-th/9303160
26. M.R. Gaberdiel H.G. Kausch A local logarithmic conformal field theory Nucl. Phys. B 538 1999 631 hep-th/9807091
27. J.S. Caux I.I. Kogan A.M. Tsvelik Logarithmic operators and hidden continuous symmetry in critical disordered models Nucl. Phys. B 466 1996 444 hep-th/9511134
28. Z. Maassarani D. Serban Non-unitary conformal field theory and logarithmic operators for disordered systems Nucl. Phys. B 489 1997 603 hep-th/9605062
29. V. Gurarie A.W.W. Ludwig Conformal field theory at central charge c = 0 and two-dimensional critical systems with quenched disorder hep-th/ 0409105
30. M.R. Gaberdiel An algebraic approach to logarithmic conformal field theory Int. J. Mod. Phys. A 18 2003 4593 hep-th/0111260
31. M. Flohr Bits and pieces in logarithmic conformal field theory Int. J. Mod. Phys. A 18 2003 4497 hep-th/0111228
32. J. Teschner The mini-superspace limit of the SL(2,ℂ)/SU(2)-WZNW model Nucl. Phys. B 546 1999 369 hep-th/9712258
33. A. Huffmann On representations of supercoalgebras J. Phys. A 27 1994 6421 hep-th/9403100
34. G. Gotz T. Quella V. Schomerus Representation theory of sl(2 1) hep-th/0504234
35. M. Gaberdiel Fusion rules and logarithmic representations of a WZW model at fractional level Nucl. Phys. B 618 2001 407 hep-th/0105046
36. F. Lesage P. Mathieu J. Rasmussen H. Saleur Logarithmic lift of the sû(2)-1/2 model Nucl. Phys. B 686 2004 313 hep-th/0311039
37. H.G. Kausch Symplectic fermions Nucl. Phys. B 583 2000 513 hep-th/0003029
38. L. Rozansky H. Saleur S and T matrices for the super U(1,1) WZW model: Application to surgery and three manifolds invariants based on the Alexander-Conway polynomial Nucl. Phys. B 389 1993 365 hep-th/9203069
39. V. Gurarie c-theorem for disordered systems Nucl. Phys. B 546 1999 765