Comparing Double String Theory Actions

Abstract

Aimed to a deeper comprehension of a manifestly T-dual invariant formulation of string theory, in this paper a detailed comparison between the non-covariant action proposed by Tseytlin and the covariant one proposed by Hull is done. These are obtained by making both the string coordinates and their duals explicitly appear, on the same foot, in the world-sheet action, so "doubling" the string coordinates along the compact dimensions. After a discussion of the nature of the constraints in both the models and the relative quantization, it results that the string coordinates and their duals behave like "non-commuting" phase space type coordinates but their expressions in terms of Fourier modes generate the oscillator algebra of the standard bosonic string formulation. A proof of the equivalence of the two formulations is given. Furthermore, open-string solutions are also discussed.

32 pages, LaTex2e. Typos corrected. Version matching the one published in JHEP, with additional references and some more clarifications concerning the action (1) and its symmetries

References in corpus (7)

• Double Field Theory
• Doubled Geometry and T-Folds
• T-duality and closed string non-commutative (doubled) geometry
• Background Field Equations for the Duality Symmetric String
• Duality Symmetric Strings, Dilatons and O(d,d) Effective Actions
• Quantum Mechanics of the Doubled Torus
• Wrapped Magnetized Branes: Two Alternative Descriptions?

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• Doubling, T-Duality and Generalized Geometry: a Simple Model
• Old Dualities and New Anomalies
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• Gauge Transformation of Double Field Theory for Open String
• Closed String Partition Functions in Toroidal Compactifications of Doubled Geometries
• Exceptional field theories, superparticles in an enlarged 11D superspace and higher spin theories
• T-Dualities and Doubled Geometry of the Principal Chiral Model
• Double Field Theory and Geometric Quantisation