West, Peter A brief review of the group theoretic approach to string theory. (English) Zbl 0958.81505 Nucl. Phys., B, Proc. Suppl. 5B, 217-227 (1988). Summary: A short review of the group-theoretic approach to string theory is given. In particular, it is explained how the method provides a powerful tool with which to compute perturbative string effects. Cited in 2 Documents MSC: 81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory 22E70 Applications of Lie groups to the sciences; explicit representations PDFBibTeX XMLCite \textit{P. West}, Nucl. Phys., B, Proc. Suppl. 5B, 217--227 (1988; Zbl 0958.81505) Full Text: DOI Link References: [1] Yoneya, T., Prog. Theor. Phys., 51, 1907 (1974) [2] Neveu, A.; West, P., Phys. Lett., 168B, 192 (1986) [3] Hata, H.; Itoh, K.; Kugo, T.; Kumitomo, H.; Ogawa, K., Phys. Rev., D34, 2369 (1986) [4] Witten, E., Nucl. Phys., B268, 253 (1986) [5] Neveu, A.; West, P., Nucl. Phys., B278, 601 (1986) [6] Siegel, W., Phys. Lett., 149B, 162 (1984) [7] Neveu, A.; Nicolai, H.; West, P., Phys. Lett., 167B, 307 (1986) [8] Alessandrini, V.; Amati, D.; Le Bellac, M.; Olive, D., Physics Reports, 1, 269 (1971) [9] Neveu, A.; West, P., Phys. Lett., 193B, 187 (1987) [10] Neveu, A.; West, P., Phys. Lett., 194B, 200 (1987) [11] Neveu, A.; West, P., Comm. Math. Phys., 114, 613 (1988) [12] Neveu, A.; West, P., Phys. Lett., 200B, 275 (1988) [14] Freeman, M. D.; West, P., Phys. Lett., 205B, 30 (1988) [15] West, P., Phys. Lett., 205B, 38 (1988) [17] Neveu, A.; West, P., Group theoretic approach to the superstring and its supermoduli, CERN preprint TH. 4961 (1988) · Zbl 1232.81048 [18] West, P., A Review of Duality, String Vertices, Overlap Identities and the Group Theoretic Approach to String Theory, (Proceedings of the Johns Hopkins Workshop. Proceedings of the Johns Hopkins Workshop, Lanzhou (1987) and of the Cargèse School. Proceedings of the Johns Hopkins Workshop. Proceedings of the Johns Hopkins Workshop, Lanzhou (1987) and of the Cargèse School, CERN preprint TH.4819/87 (1987)) [19] Ishibashi, N.; Matsuo, Y.; Ooguri, H., Univ. of Tokyo preprint UT-499 (1988) [20] Alvarez-Gaumé, L.; Gomez, C.; Reina, C., (Proceedings of the Trieste School on String Theory. Proceedings of the Trieste School on String Theory, CERN preprint TH.4775/87 (1987)) [21] Vafa, C., Phys. Lett., 190B, 47 (1987) [22] Witten, E., Comm. Math. Phys., 113, 529 (1988) [23] Alvarez-Gaumé, L.; Gomez, C.; Moore, G.; Vafa, C., Strings in operator formalism, Boston preprint BUHEP-87151 (1987), (to appear in Nucl. Phys.) [24] Koba, Z.; Nielsen, K., Nucl. Phys., B10, 633 (1969) [25] Alvarez, O., Nucl. Phys., B216, 125 (1983) [26] Caneschi, L.; Schwimmer, A.; Veneziano, G., Phys. Lett., 30B, 351 (1969) [27] Olive, D., Nuovo Cim., 3A, 399 (1971) [28] Koba, Z.; Nielsen, H. B., Nucl. Phys., B10, 633 (1969) [29] Alessandrini, V.; Amati, D., Nuovo Cim., 4A, 793 (1971) [30] Brink, L.; Olive, D., Nucl. Phys., B56, 256 (1973) [31] Del Giudice, E.; Di Vecchia, P., Nuovo Cim., 5A, 90 (1971) [32] Kato, K.; Ogawa, K., Nucl. Phys., B212, 443 (1983) [33] Fubini, S.; Veneziano, G., Nuovo Cim., 67A, 29 (1970) [34] Brink, L.; Olive, D.; Rebbi, C.; Scherk, J., Phys. Lett., 45B, 379 (1973) [35] Brower, R. C.; Weiss, J. H., Lett. Nuovo Cim., 3, 285 (1970) [37] Krichever, I. M.; Nivokov, S. P., Virasoro-Type Algebras, Riemann Surfaces and Structures of the Soliton Theory, Funk. Anal. i. Pril., 21, No. 2, 46 (1987) [39] Di Vecchia, P.; Frau, M.; Lerda, A.; Sciuto, S., Nucl. Phys., B298, 527 (1988) [40] Di Vecchia, P.; Frau, M.; Lerda, A.; Sciuto, S., Phys. Lett., 199B, 49 (1987) [41] Neveu, A.; West, P., Phys. Lett., 180B, 34 (1986) [42] Kazama, Y.; Neveu, A.; Nicolai, H.; West, P., Nucl. Phys., B278, 833 (1986) [43] Di Vecchia, P.; Hornfeck, H.; Yu, M., Phys. Lett., 195B, 557 (1987) [44] Callan, C.; Lovelace, C.; Nappi, C.; Yost, S. A., Adding holes and crosscaps to the superstring, Princeton preprint PUPT-1045 (1987), (to appear in Nucl. Phys. B.) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.