Pseudoduality Between Symmetric Space Sigma Models

Details Pseudoduality Between Symmetric Space Sigma Models Pseudoduality Between Symmetric Space Sigma Models

2009-04-27

arxiv.org/abs/0904.4087v3

J.Math.Phys.50:112303,2009

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, typos corrected and some new references added

Scientific paper

10.1063/1.3257181

We study the pseudoduality transformation on the symmetric space sigma models. We switch the Lie group valued pseudoduality equations to Lie algebra valued ones, which leads to an infinite number of pseudoduality equations. We obtain an infinite number of conserved currents on the tangent bundle of the pseudodual manifold. We show that there can be mixing of decomposed spaces with each other, which leads to mixings of the following expressions. We obtain the mixing forms of curvature relations and one loop renormalization group beta functions by means of these currents.

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