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• W2042178891 abstract "The quartic higher-derivative gravitational terms in the heterotic-superstring effective Lagrangian , defined from the Riemann ten-tensor , are expanded, after reduction to the conformally-flat physical D-space gij, in terms of the Ricci tensor Rij and scalar R. The resulting quadratic term is tachyon-free and agrees exactly with the prediction from global supersymmetry in the nonlinear realization of Volkov and Akulov of the flat-space, quadratic fermionic Lagrangian for a massless Dirac or Weyl spinor, only when D = 4, assuming the Einstein equation for the energy–momentum tensor. This proves that the heterotic superstring has to be reduced from ten to four dimensions if supersymmetry is to be correctly incorporated into the theory, and it rules out the bosonic string and type-II superstring, for which has the different a priori forms ±(R2-4RijRij) derived from , which also contain tachyons (that seem to remain after the inclusion of a further contribution to from ).The curvature of space–time introduces a mass into the Dirac equation, , while quadratic, higher-derivative terms make an additional contribution to the Einstein equations, these two effects causing a difference between and on the one hand, and the predictions from and on the other. The quartic terms still possess some residual symmetry, however, enabling us to estimate the radius-squared of the internal six-dimensional space in units of the Regge slope-parameter α′ as Br ≈ 1.75, indicating that compactification occurs essentially at the Planck era, due to quantum mechanical processes, when the action evaluated within the causal horizon is Sh ~ 1. This symmetry is also discussed with regard to the zero-action hypothesis.The dimensionality D = 4 of space–time is rederived from the Wheeler–DeWitt equation (Schrödinger equation) of quantum cosmology in the mini-superspace approximation, by demanding invariance and positive-semi-definiteness of the potential under Wick rotation of the time coordinate, which also determines the three-space to be flat, so that K = 0, and again involves the nonlinearity of gravitation." @default.
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• W2042178891 date "2006-01-20" @default.
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• W2042178891 title "ON THE QUARTIC HIGHER-DERIVATIVE GRAVITATIONAL TERMS IN THE HETEROTIC SUPERSTRING THEORY" @default.
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• W2042178891 doi "https://doi.org/10.1142/s0217751x06024268" @default.
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