Massive Stringy States and T-duality Symmetry

Details Massive Stringy States and T-duality Symmetry Massive Stringy States and T-duality Symmetry

2010-10-07

arxiv.org/abs/1010.1434v1

Nucl.Phys.B843:753-766,2011

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1016/j.nuclphysb.2010.10.011

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.

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