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Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
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abstract
The scalar field-perfect fluid (sf-pf) correspondence shows that the energy-momentum tensor of a scalar field is in correspondence with the dynamics of a perfect fluid. In this work we generalize this concept to study the higher-derivative structure of Double Field Theory with statistical matter. Using the generalized Bergshoeff-de Roo identification we find nontrivial higher-derivative corrections for the generalized scalar field Lagrangian. However, these contributions are removed to any desired order using field redefinitions at the supergravity level. By virtue of the generalized sf-pf correspondence we obtain the higher-derivative dynamics for the perfect fluid in the double geometry, which is also trivialized at the supergravity level. These results imply that the well-known $\alpha'$-corrections obtained by this procedure only correct the effective vacuum Lagrangian, while the sf-pf Lagrangian coupled to the supergravity background remains uncorrected to all orders. Our findings apply for a general (Bosonic-Heterotic-Type II-HSZ) supergravity background.
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Cited by 1 Pith paper
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Generalized Bergshoeff-de Roo identification in the Supergravity frame
A new parametrization of the O(D,D+k) vielbein makes the generalized Bergshoeff–de Roo identification work directly in the supergravity frame, giving an all-order action whose O(α′^2) part has only three couplings.
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