Abstract
The addition of a topological model to the matter content of a conventional closed-string theory leads to the appearance of many, perturbatively-decoupled spacetime worlds. We illustrate this by classifying topological vertex models on a triangulated surface. We comment on how such worlds could have been coupled in the Planck era.
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Witten, E.: Commun. Math. Phys.117, 353 (1988);118, 411 (1988)
For a recent review see Birmingham, D., Blau, M., Rakowsky, M., Thompson, G.: Phys. Rep.209, 129 (1991); also Dijkgraaf, R., Verlinde, E., Verlinde, H.: Random surfaces, quantum gravity, and strings. Proceedings of the 1990 Cargèse Workshop, Alvarez, O. et al. (eds.) New York: Plenum Press 1991
Atiyah, M.: Publ. Math. I.H.E.S.68, 175 (1988) Dijkgraaf, R.: Ph. D. Thesis, University of Utrecht 1989
Montano, D., Sonnenschein, J.: Nucl. Phys. B313, 258 (1989) Dijkgraaf, R., Witten, E.: Nucl. Phys. B342, 486 (1990) Li, K.: Nucl. Phys. B354, 711 (1991); B354, 725 (1991) Dijkgraaf, R., Verlinde, E., Verlinde, H.: Nucl. Phys. B352, 59 (1991)
Bachas, C., Petropoulos, P.M.S.: Phys. Lett.247B, 363 (1990) Witten, E.: IASSNS-HEP-90/45 preprint (May 1990)
Witten, E.: Phys. Rev. D44, 314 (1991)
Witten, E.: Phys. Rev. Lett.61, 670 (1988)
Baulieu, L., Singer, I.M.: Commun. Math. Phys.125, 227 (1989)
Eguchi, T., Yang, S.-K.: Mod. Phys. Lett. A5, 1693 (1990)
Gawedzki, K., Kupianen, A.: Nucl. Phys. B320, 625 (1989) Witten, E.: IASSNS-HEP-91/26 preprint (June 1991) Spiegelglas, M., Yankielowicz, S.: Technion PH-34-90 preprint (January 1992)
Wheater, J.: Phys. Lett.223B, 451 (1989) Jonsson, T.: Phys. Lett.265B, 141 (1991) Filk, T.: UF-THEP 92/1 preprint (January 1992)
Witten, E.: Comun. Math. Phys.141, 153 (1991) Dijkgraaf, R., Witten, E.: Commun., Math. Phys.129, 393 (1990)
More recently this was discussed by Elitzur, S., Forge, A., Rabinovici, E.: CERN-TH.6326 preprint (November 1991)
Ambjørn, J., Durhuus, B., Fröhlich, J.: Nucl. Phys. B257, [FS14], 433 (1985) David, F.: Nucl. Phys. B257 [FS14], 45 (1985); B257, [FS14], 543 (1985) Kazakov, V.A.: Phys. Lett.150B, 282 (1985) Kazakov, V.A., Kostov, I.K., Migdal, A.A.: Phys. Lett.157B, 295 (1985)
Alexander, J.W.: Ann. Math.31, 292 (1930) Boulatov, D.V., Kazakov, V.A., Kostov, I.K., Migdal, A.A.: Nucl. Phys. B275 [FS17], 641 (1986)
Marcus, N., Sagnotti, A.: Phys. Lett.119B, 97 (1982) Schwarz, J.H.: Proceedings of the Johns Hopkins Workshop 233 (1982)
Marcus, N., Sagnotti, A.: Phys. Lett.188B, 58 (1987)
Rajeev, S.G.: Phys. Lett.212B, 203 (1988) Fine, D.S.: Commun. Math. Phys.140, 321 (1991)
Van der Waerden, B.L.: Modern algebra 2, New York: Frederick Ungar Publ. Co., 1949 Kahan, Th.: Théorie des groupes en physique classique et quantique, Paris: Dunod, 1960
Boulatov, D.: Private communication
Woronowicz, S.L.: Commun. Math. Phys.111, 613 (1987)
Polchinski, J.: Nucl. Phys. B324, 123 (1989) Das, S.R., Naik, S., Wadia, S.: Mod. Phys. Lett A4, 1033 (1989) Antoniadis, I., Bachas, C.P., Ellis, J., Nanopoulos, D.V.: Phys. Lett.211B, 393 (1988) Nucl. Phys. B328, 117 (1989)
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Communicated by K. Gawedzki
Laboratoire Propre du Centre National de la Recherche Scientifique UPR A.0014
Laboratoire de la Direction des Sciences de la Matière du Commissariat à l'Energie Atomique
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Bachas, C., Petropoulos, P.M.S. Topological models on the lattice and a remark on string theory cloning. Commun.Math. Phys. 152, 191–202 (1993). https://doi.org/10.1007/BF02097063
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DOI: https://doi.org/10.1007/BF02097063