Effective action of bosonic string theory at order $ \alpha'^2 $

Mohammad R. Garousi

Effective action of bosonic string theory at order $ \alpha'^2 $

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arxiv 1907.06500 v3 pith:E27F42PK submitted 2019-07-15 hep-th

Mohammad R. Garousi This is my paper · ORCID

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keywords couplingsalphabeenorderstringtheoryactionbosonic

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abstract

Recently, it has been shown that the gauge invariance requires the minimum number of independent couplings for $B$-field, metric and dilaton at order $\alpha'^2$ to be 60. In this paper we fix the corresponding 60 parameters in string theory by requiring the couplings to be invariant under the global T-duality transformations. The Riemann cubed terms are exactly the same as the couplings that have been found by the S-matrix calculations.

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$\alpha'$-Bootstrap
hep-th 2026-07 conditional novelty 6.5 of 10

An infinite-dimensional algebraic structure on a megaspace yields recursive, T-duality-covariant NS-NS α' and α'^{2} corrections matching known bosonic and heterotic results up to field redefinitions.

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