Geodesic
On the classification of meromorphic $c=24$ conformal field theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 348-360 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {A. N. Schellekens},
     title = {On the classification of meromorphic $c=24$ conformal field theories},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {348--360},
     year = {1993},
     volume = {95},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a17/}
}
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A. N. Schellekens. On the classification of meromorphic $c=24$ conformal field theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 95 (1993) no. 2, pp. 348-360. http://geodesic.mathdoc.fr/item/TMF_1993_95_2_a17/

[1] Frenkel I., Lepowsky J., Meurman J., Proc. Natl. Acad. Sci. USA, 81 (1984), 32566 | DOI | MR

[2] Leech J., Canadian Journal of Mathematics, 19 (1967), 251 | DOI | MR | Zbl

[3] Niemeier H., Journal of Number Theory, 5 (1973), 142 | DOI | MR | Zbl

[4] Dixon L., Ginsparg P., Harvey J., Comm. Math. Phys., 119 (1988), 221 | DOI | MR | Zbl

[5] Dolan L., Goddard P., Montague P., Phys. Lett., B236 (1990), 165 | DOI | MR

[6] Schellekens A. N., Yankielowicz S., Phys. Lett., B226 (1989), 285 | DOI | MR

[7] Schellekens A. N., Warner N. P., Phys. Lett., B177 (1986), 317 ; Phys. Lett., B181 (1986), 339 ; Nucl. Phys., 287 (1987), 317 | DOI | MR | DOI | MR | DOI | MR

[8] Vafa C., Private communication

[9] Green M., Schwarz J., Phys. Lett., 149B (1984), 117 | DOI | MR

[10] Thierry-Mieg J., Phys. Lett., 171B (1986), 163 | DOI | MR

[11] Schellekens A. N., Phys. Rev., D29 (1983), 2378

[12] Zamolodchikov A., Theor. Math. Phys., 65 (1986), 1205 | DOI

[13] Kac V. G., Peterson D. H., Adv. in Math., 53 (1984), 125 | DOI | MR | Zbl

[14] Kiritsis E., Nucl. Phys., 324 (1989), 475 | DOI | MR

[15] Venkov B. B., “The Classification of Integral Even Unimodular Quadratic Forms”, Proc. of the Steklov Institute of Mathematics, 4, 1980, 63

[16] Dixon L., Harvey J., Nucl. Phys., 274 (1986), 93 | DOI | MR

[17] Kawai H., Lewellen D., Tye S., Phys. Rev., 34 (1986), 3794 | MR

[18] Antoniadis I., Bachas C., Kounnas C., Nucl. Phys., 289 (1987), 87 | DOI | MR

[19] Kawai H., Lewellen D., Schwartz J. A., Tye S.-H. H., Nucl. Phys., 299 (1988), 431 | DOI | MR

[20] Bluhm R., Dolan L., Goddard P., Nucl. Phys., 309 (1988), 330 | DOI | MR

[21] Montague P., Discussion of Self-Dual $c=24$ Conformal Field Theories, Cambridge preprint, hep-th/920567

[22] Kawai H., Lewellen D., Tye S., Nucl. Phys., 288 (1987), 1 | DOI | MR

[23] Schellekens A. N., Meromorphic $c=24$ Conformal Field Theories, CERN preprint, CERN-TH.6478/92 ; 153, no. 1, 1993 | MR

[24] Forgacs P., Palla L., Horvath Z., Vecsernyés P., Nucl. Phys., 308 (1988), 477 | DOI | MR

[25] Fuchs J., van Driel P., Lett. Math. Phys., 23 (1991), 11 | DOI | MR | Zbl

[26] Siegel C., Ann. Math., 36 (1935), 527 | DOI | MR

[27] Conway J., Sloane M., Journal of Number Theory, 15 (1982), 83 | DOI | MR | Zbl

[28] Friedan D., Qiu Z., Shenker S., Phys. Rev. Lett., 52 (1984), 1575 | DOI | MR

[29] Felder G., Gawedzki K., Kupainen A., Comm. Math. Phys., 117 (1988), 127 | DOI | MR | Zbl

[30] Lerche W., Lüst D., Schellekens A. N., Phys. Lett., B181 (1986), 71 ; Phys. Lett., B184 (1987), 419 | DOI | MR | MR

[31] Schellekens A. N., Phys. Lett., B277 (1992), 277 | DOI | MR | Zbl

[32] Goddard P., Kent A., Olive D., Phys. Lett., 152B (1985), 88 ; Comm. Math. Phys., 103 (1986), 105 | DOI | MR | Zbl | DOI | MR | Zbl

[33] Bais F., Bouwknegt P., Nucl. Phys., 279 (1987), 561 ; Schellekens A. N., Warner N. P., Phys. Rev., 34 (1986), 3092 | DOI | MR | MR

[34] Belavin A., Polyakov A., Zamolodchikov A., Nucl. Phys., 241 (1984), 333 | DOI | MR | Zbl

[35] Alvarez-Gaumé L., Ginsparg P., Moore G., Vafa C., Phys. Lett., B171 (1986), 155 | DOI | MR

[36] Goddard P., Meromorphic Conformal Field Theory, preprint DAMTP-89-01 | MR

[37] Verlinde E., Nucl. Phys., 300 (1988), 360 | DOI | MR | Zbl

[38] Lerche W., Schellekens A., Warner N., Phys. Lett., B214 (1988), 41 | DOI | MR

[39] Ahn C., Walton M., Phys. Lett., B223 (1989), 343 | DOI | MR

[40] Ginsparg P., Informal String Lectures, in the Proceedings of the Institute for Theoretical High Energy Physics, Harvard preprint HUTP-87/A077 (Cambridge, 16 Aug.–5 Sept. 1987), 1987

[41] Bouwknegt P., Nahm W., Phys. Lett., B184 (1987), 359 | DOI | MR

[42] Dijkgraaf R., Vafa C., Verlinde E., Verlinde H., Comm. Math. Phys., 123 (1989), 16 | DOI | MR

[43] Schellekens A. N., Yankielowicz S., Phys. Lett., B227 (1989), 387 | DOI | MR

[44] Schellekens A. N., Yankielowicz S., Nucl. Phys., 327 (1989), 673 | DOI | MR

[45] Cappelli A., Itzykson C., Zuber J.-B., Nucl. Phys., 280 (1987), 445 | DOI | MR | Zbl

[46] Bernard D., Nucl. Phys., 288 (1987), 628 | DOI | MR

[47] Altschuler D., Lacki J., Zaugg P., Phys. Lett., B205 (1988), 281 | DOI | MR

[48] Intriligator K., Nucl. Phys., 332 (1990), 541 | DOI | MR

[49] Fuchs J., Comm. Math. Phys., 136 (1991), 345 | DOI | MR | Zbl

[50] Gato-Rivera B., Schellekens A. N., Comm. Math. Phys., 145 (1992), 85 | DOI | MR | Zbl

[51] Verstegen D., Nucl. Phys., 346 (1990), 349 ; Comm. Math. Phys., 137 (1991), 567 | DOI | MR | Zbl | DOI | MR | Zbl

[52] Kac V., Wakimoto M., Adv. Math., 70 (1988), 156 | DOI | MR | Zbl

[53] Walton M., Nucl. Phys., 322 (1989), 775 | DOI | MR

[54] Altschuler D., Bauer M., Itzykson C., Comm. Math. Phys., 132 (1990), 349 | DOI | MR | Zbl

[55] Patera J., Sharp R. T., Winternitz P., J. Math. Phys., 17 (1976), 1972 ; Okubo S., Patera J., J. Math. Phys., 24 (1983), 2722 ; 25 (1984), 219 | DOI | Zbl | DOI | MR | Zbl | DOI | MR | Zbl