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Remarks on the physical states and the Chiral algebra of 2D gravity coupled to $C\leqslant 1$ matter
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 357-373 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some elaboration is given to the structure of physical states in 2D gravity coupled to $C\leqslant 1$ matter, and to the chiral algebra ($w_\infty$) of $C_M=1$ theory which has been found recently, in the continuum approach, by Witten and by Klebanov and Polyakov. It is shown then that the chiral algebra is being realized as well in the minimal models of gravity ($C_M<1$), so that it stands as a general symmetry of 2D gravity theories. 
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     title = {Remarks on the physical states and the {Chiral} algebra of {2D} gravity coupled to~$C\leqslant 1$ matter},
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V. S. Dotsenko. Remarks on the physical states and the Chiral algebra of 2D gravity coupled to $C\leqslant 1$ matter. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 3, pp. 357-373. http://geodesic.mathdoc.fr/item/TMF_1992_92_3_a0/

[1] Lian B., Zuckerman G., Phys. Lett. B, 254 (1991), 417 ; 266, 21 | DOI | MR | Zbl | DOI | MR | Zbl

[2] Bouwknegt P., McCarthy J., Pilch K., Preprint CERN-TH6162/91, july 1991 ; 6279/91, october 1991 | MR | Zbl

[3] Witten E., Preprint SLAC-PUB-IASSNS-HEP-91/51, august 1991 | MR

[4] Klebanov I. R., Polyakov A. M., Mod. Phys. Lett. A, 6 (1991), 3273 | DOI | MR | Zbl

[5] Avan J., Jevicki A., Phys. Lett. B, 266 (1991), 35 ; Preprint BROWN-HET-824/839; Mimic D., Polchinski J., Yang Z., Preprint UTTG-16-91; Moore G., Seiberg N., Preprint RU-91-29, YCTP-P19-91 ; Das S., Dhar A., Mandal G., Wadia S., Preprints IASSNS-HEP-91/52, 91/72 | DOI | MR | Zbl | MR

[6] Dotsenko Vl. S., Preprint PAR-LPTHE 92-4, january 1992

[7] Felder G., Nucl. Phys. B, 317 (1989), 215 ; 324, 548 | DOI | MR | MR

[8] Govindarajan S., Jayaraman T., John V., Majumdar P., Preprint IMSc-91/40, december 1991

[9] Dotsenko Vl. S., Mod. Phys. Lett. A, 6 (1991), 3601 | DOI | MR | Zbl

[10] Kitazawa Y., Phys. Lett. B, 265 (1991), 262 | DOI | MR

[11] Goulian M., Li S., Phys. Rev. Lett., 66 (1991), 2051 ; Francesco P. Di., Kutasov D., Phys. Lett. B, 261 (1991), 385 ; Alvarez-Gaumé L., Barbón J. L. F., Gómez C., Preprint SLAC-PUB-CERN-TH.6142/91, june 1991 ; Aoki K., D'Hoker E., Preprint UCLA/91/TEP/32, august 1991; Gervais J.-L., Preprint LPTENS 91/28, september 1991 ; Sakai N., Tanii Y., Prog. Theor. Phys., 86 (1991), 547 | DOI | DOI | MR | Zbl | MR | DOI | MR

[12] Dotsenko Vl. S., Fateev V. A., Nucl. Phys. B, 251 (1985), 691 | DOI | MR

[13] Zamolodchikov A. B., Fateev V. A., Yad. Fiz., 43 (1986), 1031 | MR

[14] Frenkell I. B., Kac V. G., Invent. Math. 1980, 62, 23 ; Segal G., Commun. Math. Phys., 80 (1981), 301 | DOI | MR | DOI | MR | Zbl

[15] Dotsenko Vl. S., Adv. Stud. in Pure Math., 16 (1988), 123 | MR | Zbl

[16] Dotsenko Vl. S., Preprint CERN-TH.6502/92, PAR-LPTHE 92-17, may 1992

[17] Chair N., Dobrev V. K., Kanno H., Preprint IC/92/17, january 1992 | MR