Abstract
It is shown that the Wess-Zumino term of a heterotic superstring in aN = 1,D = 10 supergravity background can be given in terms of the torsion of the background in both versions (IA and IB) of theN = 1,D = 10 supergravity theory. The gauge degrees of freedom of the background are included according to the ideas of Kaluza and Klein. Explicit expressions for the vielbein, connection, torsion, and curvature of a space with 506 bosonic and 16 fermionic coordinates are given.
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Gross, D. J., Harvey, J. A. Martinec, E., and Rohm, R. (1983).Phy. Rev. Lett.,54, 502; (1985).Nucl. Phys. B,256, 253; (1986).Nucl. Phys. B,267, 75.
Witten, E. (1986).Nucl. Phys. B,266, 245.
Atick, J. J., Dhar, A., and Ratra, B. (1986).Phys. Lett. B,169, 54.
Robb, T. D., and Taylor, J. G. (1986).Phys. Lett. B,176, 355.
Atick, J. J., Dhar, A., and Ratra, B. (1986).Phys. Rev. D,33, 2824.
Shapiro, J. A., and Taylor, C. C. (1986).Phys. Lett. B,181, 67; (1987).Phys. Lett. B,186, 69.
Kallosh, R. E. (1986).Phys. Lett. B,176, 50; (1987).Phys. Scripta,T15, 118.
Nilsson, B. E. W. (1981).Nucl. Phys. B,188, 1976.
Nilsson, B. E. W., and Tollstén, A. K. (1986).Phys. Lett. B,169, 369; (1986).Phys. Lett. B,171, 212.
Kallosh, R. E., and Nilsson, B. E. W. (1986).Phys. Lett. B,167, 46.
Kuusk, P. (1986).Phys. Lett. B,181, 57.
Chamseddine, A. H. (1981).Nud. Phys. B,185, 403; Bergshoeff, E., de Roo, M., de Wit, B., and Nieuwenhuizen, P. van (1982).Nucl. Phys. B,195, 97; Chapline, G. F., and Manton, N. S. (1983).Phys. Leu. B,120, 105.
Chamseddine, A. H. (1981).Phys. Rev. D,24, 3065.
Gates, S. J., and Nishino, H. (1985).Phys. Lett. B,157, 157.
Gates, S. J., and Nishino, H. (1986).Phys. Lett. B,173, 46, 52.
Duff, M. J., Nilsson, B. E. W., and Pope, C. N. (1985).Phys. Lett. B,163, 343; Duff, M. J., Nilsson, B. E. W., Warner, N. P., and Pope, C. N. (1986).Phys. Lett. B,171, 170.
Townsend, P. K. (1986). InSuperunification and Extra Dimensions (World Scientific, Singapore).
Nilsson, B. E. W. (1986).Phys. Lett. B,175, 319.
Cho, Y. M. (1975).J. Math. Phys.,16, 2029; Chang, L. N., Macrae, K. I., and Mansouri, F. (1976).Phys. Rev. D,13, 235.
Duff, M. J., Nilsson, B. E. W., and Pope, C. N. (1986).Phys. Rep.,130, 1.
Hehl, F. W. (1973).Gen. Rel. Grav.,4, 333; (1974).Gen. Rel. Grau.,5, 491; Hehl, F. W., von der Heyde, P., and Kerlick, G. D. (1976).Rev. Mod. Phys.,48, 393.
MacDowell, S. W., and Rakowski, M. T. (1986).Nucl. Phys. B,274, 589.
Howe, P. S., and Umerski, A. (1986).Phys. Lett. B,177, 163.
Kuusk, P. (1988).Yad. Fiz. (Sov. J. Nucl. Phys.),47, 1779.
Bonora, L., Pasti, P., and Tonin, M. (1987).Phys. Lett. B,188, 335; Bonora, L., Bregola, M., Lechner, K., Pasti, P., and Tonin, M. (1987). Preprint CERN TH. 4747/87.
Bonora, L., Bregola, M., Lechner, K., Pasti, P., and Tonin, M. (1987). Preprint CERN TH. 4890/87.
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Kuusk, P. The heterotic string and the geometry of the supersymmetric Einstein-Yang-Mills background. Gen Relat Gravit 21, 185–200 (1989). https://doi.org/10.1007/BF00761087
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DOI: https://doi.org/10.1007/BF00761087