Abstract
We show that the identification of the conformal anomaly of the general bosonic two-dimensional non-linear σ-model as the generating functional for on-shell string scattering amplitudes is correct up toO(α′) terms. The absence, in the loop corrections to the spacetime effective action, of contributions from the explicit coupling to the dilaton field is suggested as a general feature for σ-models describing tree-level string physics.
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References
C. Lovelace: Phys. Lett. 135B (1984) 75
P. Candelas, G.T. Horowitz, A. Strominger, E. Witten: Nucl. Phys. B258 (1985) 46
E.S. Fradkin, A.A. Tseytlin: Phys. Lett. 158B (1985) 316; ibid. Phys. Lett. 160B (1985) 69
C.G. Callan, D. Friedan, E.J. Martinec, M.J. Perry, Nucl. Phys. B262 (1985) 593
A. Sen: Phys. Rev. Lett. 55 (1985) 1846
B.E. Fridling, A. Jevick: Phys. Lett. 174B (1986) 75
C.M. Hull, P.K. Townsend: Phys. Lett. 167B (1986) 51
C.G. Callan, I. Klebanov M.J. Perry: Nucl. Phys. B272 (1986) 111
R. Nepomechie: Phys. Rev. D32 (1985) 3201
M.T. Grisaru, D. Zanon: Phys. Lett. 177B (1986) 347
M.D. Freeman, C.N. Pope, M.F. Sohnius, K.S. Stelle: Phys. Lett. 178B (1986) 199
Q-Han Park, D. Zanon: Phys. Rev. D35 (1987) 4038
S. Bellucci: Z. Phys. C—Particles and Fields 36 (1987) 229
M.T. Grisaru, A.E.M. van de Ven, D. Zanon: Phys. Lett. 173B (1986) 423; Nucl. Phys. B277 (1986) 409
Y. Cai, C.A. Nuñez: Nucl. Phys. B287 (1987) 279
Y. Kikuchi, C. Marzban: Phys. Rev. D35 (1987) 1400
C.M. Hull, P.K. Townsend Phys. Lett. 191B (1987) 115
D. Zanon: Phys. Lett. 191B (1987) 354
B.E. Fridling, A.E.M. van de Ven: Nucl. Phys. B268 (1986) 719
S. Bellucci: Prog. Theor. Phys. 79 (1988) 1288
C.M. Hull, P.K. Townsend: Nucl. Phys. B274 (1986) 349
D. Friedan: Phys. Rev. Lett. 45 (1980) 1057
D.J. Gross, J.H. Sloan: Nucl. Phys. B291 (1987) 41
R.R. Metsaev, A.A. Tseytlin: Phys. Lett. 191B (1987) 363
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Bellucci, S. Conformal invariance of σ-models and classical string physics. Z. Phys. C - Particles and Fields 41, 631–636 (1989). https://doi.org/10.1007/BF01564707
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DOI: https://doi.org/10.1007/BF01564707