<p>In this work, we derive the classical effective action of bosonic string theory at order <i>α</i><sup>′3</sup> for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction of the minimal basis at this order, in the schemes where their corresponding actions at order <i>α</i><sup>′</sup> are the Meissner and the Metsaev-Tseytlin schemes. We find that T-duality fixes all coupling constants in terms of the known overall factor at order <i>α</i><sup>′</sup> and a single remaining parameter. This final parameter is determined by matching the single-trace term Tr(<i>ϵϵϵϵ</i>) in the four-graviton S-matrix element — which lacks a massless pole — with the corresponding string theory amplitude. Our results for the Riemann quartic terms are in full agreement with those obtained from the nonlinear sigma-model approach.</p>

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Effective action of bosonic string theory at order α′3

  • Mehdi Ameri,
  • Alireza Pahlavan,
  • Mohammad R. Garousi

摘要

In this work, we derive the classical effective action of bosonic string theory at order α′3 for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction of the minimal basis at this order, in the schemes where their corresponding actions at order α are the Meissner and the Metsaev-Tseytlin schemes. We find that T-duality fixes all coupling constants in terms of the known overall factor at order α and a single remaining parameter. This final parameter is determined by matching the single-trace term Tr(ϵϵϵϵ) in the four-graviton S-matrix element — which lacks a massless pole — with the corresponding string theory amplitude. Our results for the Riemann quartic terms are in full agreement with those obtained from the nonlinear sigma-model approach.