Double field theory with matter and the generalized Bergshoeff–de Roo identification

Lescano, Eric; Mirón-Granese, Nahuel (2023) Double field theory with matter and the generalized Bergshoeff–de Roo identification. Physical Review D, 107 . ISSN 2470-0010

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Official URL: https://journals.aps.org/prd/abstract/10.1103/Phys...

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.

Item Type:

Article

Uncontrolled Keywords:

String dualities; Supergravity

Subjects:

NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields

Divisions:

Theoretical Physics Division

Projects: