Doubled strings, negative strings and null waves

Abstract

We revisit the fundamental string (F1) solution in the doubled formalism. We show that the wave-like solution of double field theory (DFT) corresponding to the F1/pp-wave duality pair is more properly a solution of the DFT action coupled to a doubled sigma model action. The doubled string configuration which sources the pp-wave can be thought of as static gauge with the string oriented in a dual direction. We also discuss the DFT solution corresponding to a vibrating string, carrying both winding and momentum. We further show that the solution dual to the F1 in both time and space can be viewed as a "negative string" solution. Negative branes are closely connected to certain exotic string theories which involve unusual signatures for both spacetime and brane worldvolumes. In order to better understand this from the doubled point of view, we construct a variant of DFT suitable for describing theories in which the fundamental string has a Euclidean worldsheet, for which T-dualities appear to change the spacetime signature.

37 pages including 2 appendices, v2: version to appear in JHEP (typos fixed, some minor comments added)

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Cited by in corpus (14)

• The Geometry, Branes and Applications of Exceptional Field Theory
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• A master exceptional field theory
• Non-Riemannian geometry of M-theory
• Non-relativistic duality and $T\bar{T}$ deformations
• Five-brane actions in double field theory
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• Particle actions and brane tensions from double and exceptional geometry
• Old Dualities and New Anomalies
• Identifying Riemannian singularities with regular non-Riemannian geometry
• Beta functions for the duality-invariant sigma model
• Duality invariant string beta functions at two loops
• Localized Kaluza-Klein 6-brane