Bosonic string - Kaluza Klein theory exact solutions using 5D-6D dualities
Alfredo Herrera-Aguilar, Oleg V. Kechkin
TL;DR
This paper derives explicit transformation formulae connecting solutions of 6D Kaluza-Klein and bosonic string theories via 5D-6D dualities, and constructs new extremal solutions in 3D related to these theories.
Contribution
It provides explicit formulae for transforming solutions between 6D Kaluza-Klein and bosonic string theories, and introduces a new family of extremal solutions in 3D chiral equations.
Findings
Explicit solution transformation formulae for 6D and 5D theories
New extremal solutions of the 3D chiral equation
Interpretation of solutions in terms of duality-related theories
Abstract
We present the explicit formulae which allow to transform the general solution of the 6D Kaluza--Klein theory on a 3--torus into the special solution of the 6D bosonic string theory on a 3--torus as well as into the general solution of the 5D bosonic string theory on a 2--torus. We construct a new family of the extremal solutions of the 3D chiral equation for the SL(4,R)/SO(4) coset matrix and interpret it in terms of the component fields of these three duality related theories.
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