Target Space Duality: The Dilaton Field
Orlando Alvarez, Blazej Ruszczycki
TL;DR
This paper investigates classical target space duality transformations in non-linear sigma models with a dilaton field, focusing on geometric restrictions within the Hamiltonian formalism.
Contribution
It derives geometric restrictions on target space data ensuring duality transformations depend solely on target space properties.
Findings
Restrictions on geometrical data for duality transformations
Duality depends only on target space geometry
Framework established within Hamiltonian formalism
Abstract
Classical target space duality transformations are studied for the non-linear sigma model with a dilaton field. Working within the framework of the Hamiltonian formalism we require the duality transformation to be a property only of the target spaces. We obtain a set of restrictions on the geometrical data.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Homotopy and Cohomology in Algebraic Topology · Noncommutative and Quantum Gravity Theories