The basic gerbe over a compact simple Lie group
By E. Meinrenken. 2002
107 citations recorded by the source corpus.
Let $G$ be a compact, simply connected simple Lie group. We give a construction of an equivariant gerbe with connection on $G$, with equivariant 3-curvature representing a generator of $H^3_G(G,\Z)$. Technical tools developed in this context include a gluing construction for gerbes and a theory of equivariant bundle gerbes.
Subfields: Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c8cdb1d0c1ba4b67e4450c1f45bb32034704144d
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In Mathematical Physics
- K. Behrend
- David Ridout
- P. Dawson
- Christopher J. Schommer-Pries
- P. Bouwknegt
- P. Xu
- Yukinobu Toda
- D. Joyce
In Nuclear and High Energy Physics
- David Ridout
- P. Dawson
- Christopher J. Schommer-Pries
- P. Bouwknegt
- K. Behrend
- P. Xu
- E. Sharpe
- T. Creutzig
Citations in the corpus
- Differentiable stacks and gerbes (2006, background): “, by Brylinski [6], Meinrenken [29], Gawedzki–Reis [17], Stienon [43] and others, as well as on gerbes over orbifolds [27].”
- Central extensions of smooth 2–groups and a finite-dimensional string 2–group (2009, methodology): “For compact G , using techniques developed by Meinrenken [44] we may construct a canonical such cover.”
- D branes on group manifolds and fusion rings (2002, background): “Bundle gerbes show up naturally in the discussion of the WZW model [22, 39], and the bundle gerbe for G = SU(N) has recently been constructed in [22, 40].”