Massive Stringy States and T-duality Symmetry

Abstract

We present evidence for the target space duality symmetry associated with massive excited states of closed bosonic string. The evolution of string is considered in $\hat{D}$ spacetime dimensions; out of which d spacial dimensions are compactified on torus. The phase space Hamiltonian formulation is adopted to unveil the T-duality symmetry from the worldsheet perspective. The existence of this symmetry is verified for a few massive levels. A systematic procedure is presented to study T-duality symmetry of vertex operators for all massive levels of closed bosonic string. It is argued that all vertex operators corresponding to excited massive states can be cast in an O(d,d) invariant form where d is the number of compact dimensions.

15 pages

References in corpus (18)

• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• Target Space Duality in String Theory
• The Pre-Big Bang Scenario in String Cosmology
• Superspace Duality in Low-Energy Superstrings
• Noncompact Symmetries in String Theory
• Duality, Quotients, and Currents
• Two-Vierbein Formalism for String-Inspired Axionic Gravity
• Superstring Cosmology
• Elements of String Cosmology
• Twisting Classical Solutions in Heterotic String Theory
• String Lessons for Higher-Spin Interactions
• Constraining Primordial Magnetism
• An Equivalence Between Momentum and Charge in String Theory
• Anatomy of Zero-norm States in String Theory
• Duality and $O(d,d)$ Symmetries in String Theory
• Duality Symmetry of String Theory: A Worldsheet Perspective
• Gauge Transformations in String Field Theory and canonical Transformation in String Theory

Cited by in corpus (4)

• The Worldsheet Perspective of T-duality Symmetry in String Theory
• T-duality of NSR superstring: The worldsheet perspective
• Scattering of Stringy States in Compactified Closed Bosonic String
• T-duality and Scattering of Stringy States