Abstract
We present results on higher-order calculations for the N=1 supersym- metric σ-model in two dimensions.The condition of vanishing four-loop ß-function,interpreted as the classical equations of motion of the associated string theory,can be derived from an effective action.It represents the generalization to an arbitrary Riemannian manifold of the corresponding low-energy action obtained from the four-graviton scattering amplitude for type II superstring.Thus the a-model approach indeed describes the tree- level dynamics of the superstring.
On leave of absence from Dipartimento di Fisica, Universita’ di Milano and INFN, Sezione di Milano, Italy. Supported in part by NSF grants PHY-82-15249, PHY-83-13243.
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© 1987 Plenum Press, New York
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Zanon, D. (1987). Four-Loop Sigma-Model Beta-Functions Versus α’ 3 Corrections to Superstring Effective Actions. In: Lee, H.C., Elias, V., Kunstatter, G., Mann, R.B., Viswanathan, K.S. (eds) Super Field Theories. NATO Science Series, vol 160. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0913-0_11
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DOI: https://doi.org/10.1007/978-1-4613-0913-0_11
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