Double Field Theory with matter and the generalized Bergshoeff-de Roo identification

LESCANO, ERIC; MIRON-GRANESE, NAHUEL

PHYSICAL REVIEW D

AMER PHYSICAL SOC

Lugar: New York; Año: 2023 vol. 107

1550-7998

The scalar field-perfect fluid (sf-pf) correspondence shows that theenergy-momentum tensor of a scalar field is in correspondence with the dynamicsof a perfect fluid. In this work we generalize this concept to study thehigher-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.