[1] |
Di Francesco, P.; Mathieu, P.; Senehal, D., Conformal Field Theory (1997), Berlin: Springer, Berlin · Zbl 0869.53052 |
[2] |
Frappat, L.; Sorba, P.; Scarrino, A., Dictionary on Lie Algebras and Superalgebras (2000), New York: Academic, New York · Zbl 0965.17001 |
[3] |
Flohr, M., Bits and pieces in logarithmic conformal field theory, Int. J. Mod. Phys. A, 18, 4497-4592 (2003) · Zbl 1062.81125 · doi:10.1142/S0217751X03016859 |
[4] |
Isidro, M.; Ramallo, A. V., gl(N,N) current algebras and topological field theories, Nucl. Phys. B, 414, 715-762 (1994) · Zbl 1007.81542 · doi:10.1016/0550-3213(94)90259-3 |
[5] |
Efetov, K., Supersymmetry and theory of disordered metals, Adv. Phys., 32, 53-127 (1983) · doi:10.1080/00018738300101531 |
[6] |
Bernard, S., Conformal Field Theory Applied To 2D Disordered Systems: An Introduction |
[7] |
Mudry, C.; Chamon, C.; Wen, X. G., Two-dimensional conformal field theory for disordered systems at criticality, Nucl. Phys. B, 466, 383-443 (1996) · Zbl 1002.81544 · doi:10.1016/0550-3213(96)00128-9 |
[8] |
Maassarani, Z.; Serban, D., Non-unitary conformal field theory and logarithmic operators for disordered systems, Nucl. Phys. B, 489, 603-625 (1997) · Zbl 0925.81328 · doi:10.1016/S0550-3213(97)00014-X |
[9] |
Zirnbauer, M. R., Conformal field theory of the integer quantum Hall plateau transition |
[10] |
Bassi, Z. S.; LeClair, A., The exact s-matrix for an osp(2∣2) disordered system, Nucl. Phys. B, 578, 577-627 (2000) · Zbl 1037.82521 · doi:10.1016/S0550-3213(00)00173-5 |
[11] |
Guruswamy, S.; LeClair, A.; Ludwig, A. W W., Nucl. Phys. B, 583, 475 (2000) · Zbl 0984.82029 · doi:10.1016/S0550-3213(00)00245-5 |
[12] |
Kac, V. G., Characters of typical representations of classical Lie superalgebras, Commun. Algebra., 5, 889-897 (1977) · Zbl 0359.17010 · doi:10.1080/00927877708822201 |
[13] |
Kac, V. G., Lecture Notes in Mathematics, vol 676, 597 (1978), Berlin: Springer, Berlin |
[14] |
Bershadsky, M.; Zhukov, S.; Vaintrob, A., PSL(n∣n) sigma model as a conformal field theory, Nucl. Phys. B, 559, 205-234 (1999) · Zbl 0957.81064 · doi:10.1016/S0550-3213(99)00378-8 |
[15] |
Zhang, Y. Z., Coherent state construction of representations of osp(2∣2) and primary fields of osp(2∣2) conformal field theory, Phys. Lett. A, 327, 442-451 (2004) · Zbl 1138.81437 · doi:10.1016/j.physleta.2004.05.017 |
[16] |
Zhang, Y. Z.; Gould, M. D., A unified and complete construction of all finite dimensional irreducible representations of gl(2∣2), J. Math. Phys., 46 (2005) · Zbl 1076.17004 · doi:10.1063/1.1812829 |
[17] |
Matsumoto, T.; Moriyama, S., An exceptional algebraic origin of the AdS/CFT Yangian symmetry, J. High Energy Phys., JHEP04(2008)022 (2008) · Zbl 1246.81376 · doi:10.1088/1126-6708/2008/04/022 |
[18] |
Matsumoto, T.; Moriyama, S., Serre relation and higher grade generators of the AdS/CFT Yangian symmetry, J. High Energy Phys., JHEP09(2009)097 (2009) · doi:10.1088/1126-6708/2009/09/097 |
[19] |
Ohlsson Sax, O.; Stefanski, B., Integrability, spin-chains and the AdS3/CFT2 correspondence, J. High Energy Phys., JHEP08(2011)029 (2011) · Zbl 1298.81328 · doi:10.1007/JHEP08(2011)029 |
[20] |
Gauntlett, J. P.; Myers, R. C.; Townsend, P. K., Supersymmetry of rotating branes, Phys. Rev. D, 59 (1999) · doi:10.1103/PhysRevD.59.025001 |
[21] |
Chen, X.; Yang, W-L; Ding, X-M; Feng, J.; Ke, S-M; Wu, K.; Zhang, Y-Z, Free-field realization of the exceptional current superalgebra D(2, 1; α)_k, J. Phys. A, 45 (2012) · Zbl 1254.81071 · doi:10.1088/1751-8113/45/40/405204 |
[22] |
Van der Jeugt, J., Irreducible representations of the exceptional Lie superalgebras D(2, 1; α), J. Math. Phys., 26, 913-924 (1985) · Zbl 0604.17001 · doi:10.1063/1.526547 |
[23] |
Feigin, B.; Frenkel, E., Affine Kac-Moody algebras and semi-infinite flag manifolds, Commun. Math. Phys., 128, 161-189 (1990) · Zbl 0722.17019 |
[24] |
Bouwknegt, P.; McCarthy, J.; Pilch, K., Free field approach to 2-dimensional conformal field theories, Prog. Phys., 102, 67-135 (1990) · Zbl 0784.17041 · doi:10.1143/PTPS.102.67 |
[25] |
Ito, K., Feigin-Fuchs representation of generalized parafermions, Phys. Lett. B, 252, 69-73 (1990) · doi:10.1016/0370-2693(90)91082-M |
[26] |
Rasmussen, J., Free field realizations of affine current superalgebras, screening currents and primary fields, Nucl. Phys. B, 510, 688 (1998) · Zbl 0953.81028 · doi:10.1016/S0550-3213(97)00693-7 |
[27] |
Ding, X-M; Gould, M.; Zhang, Y-Z, gl(2∣2) current superalgebra and non-unitary conformal field theory, Phys. Lett. A, 318, 354-363 (2003) · Zbl 1098.81826 · doi:10.1016/j.physleta.2003.08.034 |
[28] |
Zhang, Y-Z; Liu, X.; Yang, W-L, Primary fields and screening currents of gl(2∣2) non-unitary conformal field theory, Nucl. Phys. B, 704, 510-526 (2005) · Zbl 1119.81390 · doi:10.1016/j.nuclphysb.2004.10.011 |
[29] |
Yang, W-L; Zhang, Y-Z; Liu, X., gl(4∣4) current superalgebra: free field realization and screening currents, Phys. Lett. B, 641, 329-334 (2006) · Zbl 1248.81071 · doi:10.1016/j.physletb.2006.08.046 |
[30] |
Yang, W-L; Zhang, Y-Z, Free field realization of the current algebra, Phys. Rev. D, 78 (2008) · doi:10.1103/PhysRevD.78.106004 |
[31] |
Yang, W-L; Zhang, Y-Z; Kault, S., Differential operator realizations of super-algebras and free field representations of corresponding current algebras, Nucl. Phys. B, 823, 372-402 (2009) · Zbl 1196.81203 · doi:10.1016/j.nuclphysb.2009.06.029 |
[32] |
Hughes, J. W B.; Yadergar, J., o(3) shift operators: the general analysis, J. Math. Phys., 19, 2068 (1978) · Zbl 0416.22024 · doi:10.1063/1.523587 |