Supergroup - Extended super Liouville correspondence

Journal of High Energy Physics

Volumn 2011, Issue 6, 2011, Pages

  Creutzig, Thomas ^a,b   Hikida, Yasuaki ^c   Rønne, Peter B ^d,e  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^c KEIO UNIVERSITY   (Japan)

^d UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^e UNIVERSITY OF COLOGNE   (Germany)

Author keywords

Conformal and W symmetry; Conformal field models in string theory; Extended supersymmetry

Indexed keywords

EID: 80053151528     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP06(2011)063     Document Type: Article

References (61)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113
2. Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200] [SPIRES].
3. 5 background, Nucl. Phys. B 533 (1998) 109 [hep-th/9805028] [SPIRES].
4. N. Berkovits, C. Vafa and E. Witten, Conformal field theory of AdS background with Ramond-Ramond flux, JHEP 03 (1999) 018 [hep-th/9902098] [SPIRES].
5. K.B. Efetov, Supersymmetry and theory of disordered metals, Adv. Phys. 32 (1983) 53 [SPIRES].
6. K.B. Efetov, Supersymmetry in disorder and chaos, Cambridge University Press, Cambridge U.K. (1997).
7. M.R. Zirnbauer, Conformal field theory of the integer quantum Hall plateau transition, hep-th/9905054 [SPIRES].
8. M.J. Bhaseen, I.I. Kogan, O.A. Solovev, N. Tanigichi and 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] [SPIRES].
9. S. Guruswamy, A. LeClair and 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] [SPIRES].
10. L. Rozansky and H. Saleur, Quantum field theory for the multivariable Alexander-Conway polynomial, Nucl. Phys. B 376 (1992) 461 [SPIRES].
11. V. Schomerus and H. Saleur, The GL(1|1) WZW model: From supergeometry to logarithmic CFT, Nucl. Phys. B 734 (2006) 221 [hep-th/0510032] [SPIRES].
12. G. Götz, T. Quella and V. Schomerus, The WZNW model on PSU(1, 1|2), JHEP 03 (2007) 003 [hep-th/0610070] [SPIRES].
13. H. Saleur and V. Schomerus, On the SU(2|1) WZNW model and its statistical mechanics applications, Nucl. Phys. B 775 (2007) 312 [hep-th/0611147] [SPIRES].
14. T. Quella and V. Schomerus, Free fermion resolution of supergroup WZNW models, JHEP 09 (2007) 085 [arXiv:0706.0744] [SPIRES].
15. T. Creutzig, T. Quella and V. Schomerus, Branes in the GL(1|1) WZNW-Model, Nucl. Phys. B 792 (2008) 257 [arXiv:0708.0583] [SPIRES].
16. T. Creutzig and V. Schomerus, Boundary correlators in supergroup WZNW models, Nucl. Phys. B 807 (2009) 471 [arXiv:0804.3469] [SPIRES].
17. T. Creutzig, Geometry of branes on supergroups, Nucl. Phys. B 812 (2009) 301 [arXiv:0809.0468] [SPIRES].
18. T. Creutzig and P.B. Ronne, The GL(1|1)-symplectic fermion correspondence, Nucl. Phys. B 815 (2009) 95 [arXiv:0812.2835] [SPIRES].
19. T. Creutzig, Branes in supergroups, arXiv:0908.1816 [SPIRES].
20. T. Creutzig and Y. Hikida, Branes in the OSP(1|2) WZNW model, Nucl. Phys. B 842 (2011) 172 [arXiv:1004.1977] [SPIRES].
21. Y. Hikida and V. Schomerus, Structure constants of the OSP(1|2) WZNW model, JHEP 12 (2007) 100 [arXiv:0711.0338] [SPIRES].
22. 3 WZNW correlators from Liouville theory, JHEP 06 (2005) 014 [hep-th/0502048] [SPIRES].
23. 3 WZNW model from Liouville field theory, JHEP 10 (2007) 064 [arXiv:0706.1030] [SPIRES].
24. M. Ademollo et al., Supersymmetric strings and color confinement, Phys. Lett. B 62 (1976) 105 [SPIRES].
25. E.A. Ivanov, S.O. Krivonos and V.M. Leviant, A new class of superconformal σ-models with the Wess-Zumino action, Nucl. Phys. B 304 (1988) 601 [SPIRES].
26. E.A. Ivanov, S.O. Krivonos and V.M. Leviant, Quantum N = 3, N = 4 superconformal WZW σ-models, Phys. Lett. B 215 (1988) 689 [Erratum ibid. B 221 (1989) 432] [SPIRES].
27. E.A. Ivanov, S.O. Krivonos, N=4 superliouville equation (in Russian), J. Phys. A 17 (1984) L671.
28. V.G. Knizhnik, Superconformal algebras in two-dimensions, Theor. Math. Phys. 66 (1986) 68 [SPIRES].
29. M.A. Bershadsky, Superconformal algebras in two-dimensions with arbitrary N, Phys. Lett. B 174 (1986) 285 [SPIRES].
30. M. Bershadsky and H. Ooguri, Hidden OSp(N,2) symmetries in superconformal field theories, Phys. Lett. B 229 (1989) 374 [SPIRES].
31. K. Ito and J.O. Madsen, Hamiltonian reduction and classical extended superconformal algebras, Phys. Lett. B 283 (1992) 223 [hep-th/9202058] [SPIRES].
32. K. Ito, J.O. Madsen and J.L. Petersen, Free field representations of extended superconformal algebras, Nucl. Phys. B 398 (1993) 425 [hep-th/9207009] [SPIRES].
33. K. Ito, J.O. Madsen and J.L. Petersen, Free field representations and screening operators for the N = 4 doubly extended superconformal algebras, Phys. Lett. B 292 (1992) 298 [hep-th/9207010] [SPIRES].
34. K. Ito, J.O. Madsen and J.L. Petersen, Extended superconformal algebras from classical and quantum Hamiltonian reduction, hep-th/9211019 [SPIRES].
35. K. Ito, J.O. Madsen and J.L. Petersen, Extended superconformal algebras and free field realizations from Hamiltonian reduction, Phys. Lett. B 318 (1993) 315 [hep-th/9307189] [SPIRES].
36. P. Bowcock, Exceptional superconformal algebras, Nucl. Phys. B 381 (1992) 415 [hep-th/9202061] [SPIRES].
37. E.S. Fradkin and V.Y. Linetsky, Results of the classification of superconformal algebras in two-dimensions, Phys. Lett. B 282 (1992) 352 [hep-th/9203045] [SPIRES].
38. V.A. Fateev, A.B. Zamolodchikov and Al.B. Zamolodchikov, unpublished.
39. Y. Hikida and V. Schomerus, The FZZ-duality conjecture - a proof, JHEP 03 (2009) 095 [arXiv:0805.3931] [SPIRES].
40. T. Creutzig, Y. Hikida and P.B. Ronne, The FZZ duality with boundary, arXiv:1012.4731 [SPIRES].
41. K. Hori and A. Kapustin, Duality of the fermionic 2d black hole and N = 2 Liouville theory as mirror symmetry, JHEP 08 (2001) 045 [hep-th/0104202] [SPIRES].
42. G. Giribet, Y. Hikida and T. Takayanagi, Topological string on OSP(1|2)/U(1), JHEP 09 (2009) 001 [arXiv:0907.3832] [SPIRES].
43. T. Creutzig and P.B. Ronne, From world-sheet supersymmetry to super target spaces, JHEP 11 (2010) 021 [arXiv:1006.5874] [SPIRES].
44. 2 and the attractor mechanism, JHEP 03 (2009) 030 [arXiv:0809.0507] [SPIRES].
45. K. Gawȩdzki, Noncompact WZW conformal field theories, hep-th/9110076 [SPIRES].
46. V.G. Kac and M. Wakimoto, Quantum reduction and representation theory of superconformal algebras, math-ph/0304011 [SPIRES].
47. L. Frappat, P. Sorba and A. Sciarrino, Dictionary on Lie superalgebras, hep-th/9607161 [SPIRES].
48. V.G. Kac and M. Wakimoto, Integrable highest weight modules over affine superalgebras and number theory, hep-th/9407057 [SPIRES].
49. K. Schoutens, O(n) extended superconformal field theory in superspace, Nucl. Phys. B 295 (1988) 634 [SPIRES].
50. A. Sevrin, W. Troost and A. Van Proeyen, Superconformal algebras in two-dimensions with N = 4, Phys. Lett. B 208 (1988) 447 [SPIRES].
51. 3 model on a disc, JHEP 01 (2007) 057 [hep-th/0610117] [SPIRES].
52. 3 model, JHEP 02 (2008) 024 [arXiv:0710.2093] [SPIRES].
53. L.F. Alday, D. Gaiotto and Y. Tachikawa, Liouville correlation functions from four-dimensional gauge theories, Lett. Math. Phys. 91 (2010) 167 [arXiv:0906.3219] [SPIRES].
54. N-1 conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories, JHEP 11 (2009) 002 [arXiv:0907.2189] [SPIRES].
55. L.F. Alday and Y. Tachikawa, Affine SL(2) conformal blocks from 4d gauge theories, Lett. Math. Phys. 94 (2010) 87 [arXiv:1005.4469] [SPIRES].
56. C. Kozcaz, S. Pasquetti, F. Passerini and N. Wyllard, Affine sl(N) conformal blocks from N = 2 SU(N) gauge theories, JHEP 01 (2011) 045 [arXiv:1008.1412] [SPIRES].
57. N. Wyllard, W-algebras and surface operators in N = 2 gauge theories, J. Phys. A 44 (2011) 155401 [arXiv:1011.0289] [SPIRES].
58. N. Wyllard, Instanton partition functions in N = 2 SU(N) gauge theories with a general surface operator and their W-algebra duals, JHEP 02 (2011) 114 [arXiv:1012.1355] [SPIRES].
59. M. Bershadsky, Conformal field theories via Hamiltonian reduction, Commun. Math. Phys. 139 (1991) 71 [SPIRES].
60. T. Creutzig, Y. Hikida and P. Ronne, in preparation.
61. I. Brunner, M.R. Gaberdiel and C.A. Keller, Matrix factorisations and D-branes on K3, JHEP 06 (2006) 015 [hep-th/0603196] [SPIRES].