English

Duality and Dilaton

High Energy Physics - Theory 2026-03-11 v1 General Relativity and Quantum Cosmology

Abstract

We review and elaborate on the issue of the dilaton transformation under the usual rα/rr \rightarrow \alpha'/r target space duality and its non-static generalization (or σ\sigma-model duality). It is found that the transformation law rα/rr \rightarrow \alpha'/r, ϕϕln(r/α)\phi \rightarrow \phi - \ln(r/\sqrt{\alpha'}) which guarantees duality at the one-loop σ\sigma-model level should be modified at two (and higher) loop order. The non-static duality is illustrated on the example of cosmological solutions in D2D \ge 2 with time-dependent radii of space torus.

Keywords

Cite

@article{arxiv.2603.09586,
  title  = {Duality and Dilaton},
  author = {A. A. Tseytlin},
  journal= {arXiv preprint arXiv:2603.09586},
  year   = {2026}
}

Comments

11 pages