Gauging the Wess-Zumino term of a sigma model with boundary | Zendy

José Figueroa-O’Farrill | Zendy; N. Mohammedi | Zendy

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Gauging the Wess-Zumino term of a sigma model with boundary

Author(s) -

José Figueroa-O’Farrill,

N. Mohammedi

Publication year - 2005

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 - 10.1088/1126-6708/2005/08/086

Subject(s) - boundary (topology) , mathematics , term (time) , coset , equivariant map , sigma , diagonal , pure mathematics , boundary value problem , mathematical analysis , geometry , discrete mathematics , physics , quantum mechanics

We investigate the gauging of the Wess-Zumino term of a sigma model withboundary. We derive a set of obstructions to gauging and we interpret them asthe conditions for the Wess-Zumino term to extend to a closed form in asuitable equivariant relative de Rham complex. We illustrate this with thetwo-dimensional sigma model and we show that the new obstructions due to theboundary can be interpreted in terms of Courant algebroids. We specialise tothe case of the Wess-Zumino-Witten model, where it is proved that there alwaysexist suitable boundary conditions which allow gauging any subgroup which canbe gauged in the absence of a boundary. We illustrate this with two naturalclasses of gaugings: (twisted) diagonal subgroups with boundary conditionsgiven by (twisted) conjugacy classes, and chiral isotropic subgroups withboundary conditions given by cosets.Comment: 18 pages (minor changes in response to referee report

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