Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle | Zendy

Ladislav Hlavatý | Zendy; Libor Šnobl | Zendy

Open Access

Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle

Author(s) -

Ladislav Hlavatý,

Libor Šnobl

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/10/045

Subject(s) - dilaton , sigma , invariant (physics) , mathematics , poisson distribution , mathematical physics , sigma model , pure mathematics , lie group , constant (computer programming) , physics , quantum mechanics , computer science , nonlinear system , statistics , programming language

We look for 3-dimensional Poisson-Lie dualizable sigma models that satisfythe vanishing beta-function equations with constant dilaton field. Using thePoisson-Lie T-plurality we then construct 3-dimensional sigma models thatcorrespond to various decompositions of Drinfeld double. Models with nontrivialdilaton field may appear. It turns out that for ``traceless'' dual algebrasthey satisfy the vanishing beta-function equations as well. In certain cases the dilaton cannot be defined in some of the dual models. Weprovide an explanation why this happens and give criteria predicting when ithappens.Comment: 24 pages, the published version; changes compared to v1: typos corrected, conclusions extended, added reference

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