Field Redefinitions, T-duality and Solutions in Closed String Field Theories

Abstract

We investigate classical solutions in closed bosonic string field theory and heterotic string field theory that are obtained order by order starting from solutions of the linearized equations of motion, and we discuss the ``field redefinitions'' which relate massless fields in the string field theory side and the low energy effective theory side. Massless components of the string field theory solutions are not corrected and from them we can infer corresponding solutions in the effective theory: the chiral null model and the pp-wave solution with B-field, which have been known to be alpha'-exact. These two sets of solutions in the two sides look slightly different because of the field redefinitions. It turns out that T-duality is a useful tool to determine them: We show that some part of the field redefinitions can be determined by using the correspondence between T-duality rules in the two sides, irrespective of the detail of the interaction terms and the integrating-out procedure. Applying the field redefinitions, we see that the solutions in the effective theory side are reproduced from the string field theory solutions.

LaTeX, 40 pages, no figure v2: minor corrections v3: minor correction

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Cited by in corpus (13)

• Double Field Theory
• Background independent action for double field theory
• The gauge algebra of double field theory and Courant brackets
• Double Field Theory at Order ${\alpha }^{\prime }$
• Nonlocal quantum gravity and M-theory
• Nonlocal gravity and the diffusion equation
• On factorizations in perturbative quantum gravity
• Super-accelerating bouncing cosmology in asymptotically-free non-local gravity
• A Note on the CFT Origin of the Strong Constraint of DFT
• The classical cosmological constant of open-closed string field theory
• A tachyon lump in closed string field theory
• String Field Theory
• A Universality in PP-Waves