SU(3)/SU(2): The simplest Wess-Zumino-Witten term
نویسندگان
چکیده
منابع مشابه
Wess-Zumino-Witten term on the lattice
We construct the Wess-Zumino-Witten (WZW) term in lattice gauge theory by using a Dirac operator which obeys the Ginsparg-Wilson relation. Topological properties of the WZW term known in the continuum are reproduced on the lattice as a consequence of a non-trivial topological structure of the space of admissible lattice gauge fields. In the course of this analysis, we observe that the gauge ano...
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We review some aspects of gauged WZW models. By choosing a solvable subgroup as gauge group, one is lead to three main applications: the construction of field theories with an extended conformal symmetry, the construction of the effective action of (extended) 2D gravities and the systematic construction of string theories with some extended gauge symmetry.
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The fusion rings of Wess-Zumino-Witten models are re-examined. Attention is drawn to the difference between fusion rings over Z (which are often of greater importance in applications) and fusion algebras over C. Complete proofs are given characterising the fusion algebras (over C) of the SU (r + 1) and Sp (2r) models in terms of the fusion potentials, and it is shown that the analagous potentia...
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We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in G = SU(N), N ≥ 3. It is realized as a functor WZ from the category of conformally flat four-dimensional manifolds to the category of line bundles with connection that satisfies, besides the axioms of a topological field theory, the axioms which abstract the characteristics of Wess-Zumino-Witten actions. To each conf...
متن کاملDimensional Deconstruction and Wess–Zumino–Witten Terms
Abstract A new technique is developed for the derivation of the Wess-Zumino-Witten terms of gauged chiral lagrangians. We start in D = 5 with a pure (mesonless) Yang-Mills theory, which includes relevant gauge field Chern-Simons terms. The theory is then compactified, and the effective D = 4 lagrangian is derived using lattice techniques, or “deconstruction,” where pseudoscalar mesons arise fro...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2010
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.81.065032