Loop Corrections in Double Field Theory: Non-trivial Dilaton Potentials

Abstract

It is believed that the invariance of the generalised diffeomorphisms prevents any non-trivial dilaton potential from double field theory. It is therefore difficult to include loop corrections in the formalism. We show that by redefining a non-local dilaton field, under strong constraint which is necessary to preserve the gauge invariance of double field theory, the theory does permit non-constant dilaton potentials and loop corrections. If the fields have dependence on only one single coordinate, the non-local dilaton is identical to the ordinary one with an additive constant.

V3, 11 pages, references added, typos corrected, version to appear in JHEP

References in corpus (9)

• Double Field Theory
• The gauge algebra of double field theory and Courant brackets
• Differential geometry with a projection: Application to double field theory
• Gauged Double Field Theory
• Double Field Theory at Order ${\alpha }^{\prime }$
• Heterotic $\alpha$'-corrections in Double Field Theory
• Double field formulation of Yang-Mills theory
• Green-Schwarz mechanism and ${\alpha }^{\prime }$-deformed Courant brackets
• Cosmological Implications from O(D,D)

Cited by in corpus (1)

• Dimensional Reduction of the Generalized DBI