Worldsheet boundary conditions in Poisson-Lie T-duality | Zendy

Cecilia Albertsson | Zendy; R.A. ReidEdwards | Zendy

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Worldsheet boundary conditions in Poisson-Lie T-duality

Author(s) -

Cecilia Albertsson,

R.A. ReidEdwards

Publication year - 2007

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 - 10.1088/1126-6708/2007/03/004

Subject(s) - worldsheet , t duality , invariant (physics) , abelian group , conformal symmetry , physics , mathematical physics , conformal map , boundary conformal field theory , pure mathematics , string theory , boundary value problem , mathematics , non critical string theory , mathematical analysis , quantum mechanics , neumann boundary condition , robin boundary condition

We apply canonical Poisson-Lie T-duality transformations to bosonic openstring worldsheet boundary conditions, showing that the form of theseconditions is invariant at the classical level, and therefore they arecompatible with Poisson-Lie T-duality. In particular the conditions forconformal invariance are automatically preserved, rendering also the dual modelconformal. The boundary conditions are defined in terms of a gluing matrixwhich encodes the properties of D-branes, and we derive the duality map forthis matrix. We demonstrate explicitly the implications of this map forD-branes in two non-Abelian Drinfel'd doubles.Comment: 20 pages, Latex; v2: typos and wording corrected, references added; v3: three-dimensional example added, reference added, discussion clarified, published versio

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