Nuclear Physics B· 2015Q2
η and λ deformations as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">E</mml:mi></mml:math>-models
- 152citations
- Q2SCImago
- 2015year
Short summary
The λ and η deformed σ-models are shown to be specific instances of E-models, differing only in their Drinfeld double construction (G×G for λ, GC for η).
AI-generated from the title and abstract; the full text is not read.
Key points
- λ and η deformed σ-models are identified as specific E-models.
- The models differ based on their Drinfeld double: G×G for λ, and GC for η.
- A direct relationship exists between the target space geometries of the λ-model and the Poisson–Lie T-dual of the η-model.
- This relationship is established via a simple analytic continuation.
AI-generated from the title and abstract; the full text is not read.
Abstract
We show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the E-models introduced in the context of the Poisson–Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for the λ model the double is the direct product G×G while for the η model it is the complexified group GC. As a consequence of this picture, we prove for any G that the target space geometries of the λ-model and of the Poisson–Lie T-dual of the η-model are related by a simple analytic continuation.
The authors' abstract, as published at the source. Nuclear Physics B, 2015 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Algebra and Number Theory
Algebra and Number TheoryMathematics