WZW BRANES AND GERBES

By K. Gawȩdzki, Nuno Reis. 2002

166 citations recorded by the source corpus.

We reconsider the role that bundle gerbes play in the formulation of the WZW model on closed and open surfaces. In particular, we show how an analysis of bundle gerbes on groups covered by SU(N) permits to determine the spectrum of symmetric branes in the boundary version of the WZW model with such groups as the target. We also describe a simple relation between the open string amplitudes in the WZW models based on simply connected groups and in their simple-current orbifolds.

Subfields: Geometry and Topology, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/93ef28473934d8383b142c2738b0f7ac76700eb9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Urs Schreiber
2. John C. Baez
3. John Huerta
4. K. Waldorf
5. E. Meinrenken
6. David Ridout
7. P. Bouwknegt
8. P. Dawson

In Nuclear and High Energy Physics

1. John Huerta
2. John C. Baez
3. Urs Schreiber
4. P. Xu
5. K. Behrend
6. K. Waldorf
7. David Ridout
8. P. Dawson

In Statistical and Nonlinear Physics

1. K. Waldorf
2. E. Meinrenken
3. David Ridout
4. P. Bouwknegt
5. P. Dawson
6. John C. Baez
7. K. Behrend
8. Urs Schreiber

Citations in the corpus

• D branes on group manifolds and fusion rings (2002, background): “rly concrete presentation of twisted K-theory is as the Grothendieck K-theory of (isomorphism classes of) bundle gerbe modules [38]. 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]. It would be ”
• Differentiable stacks and gerbes (2006, background): “pioneered by Brylinski [5], Chatterjee [8], Hitchin [21], Murray [32] and many others. Also, there is interesting work on equivariant S1-gerbes, e.g., by Brylinski [6], Meinrenken [29], Gawedzki-Neis [17], Stienon [41] and others, as well as on gerbes over orbifolds [27]. These endeavors make the fo”
• More Morphisms between Bundle Gerbes (2007, unknown): “It should not be unmentioned that the geometric nature of bundle gerbes allows explicit constructions of all (bi-invariant) bundle gerbes over all compact, connected and simple Lie groups [ GR02 , Mei02, GR03].”
• Parallel Transport and Functors (2007, background): “nnected, holonomy maps generalized to surfaces capture all aspects of surface holonomy [MP02]. Especially the second obstruction erases one of the most interesting of these aspects, see, for example, [GR02]. In order to obtain a formulation of parallel transport along curves without topological assu”
• The basic gerbe over a compact simple Lie group (2002, methodology): “A detailed construction of transition line bundles for the basic gerbe over G = SU(N), (as well as for the much more complicated case of finite quotients of G = SU(N)) was obtained by Gaw¸edzki-Reis [ 13 ].”
• An invitation to higher gauge theory (2010, methodology): “The role of gerbes was later made explicit by Carey, Johnson and Murray [34], and even more so by Gawedski and Reis [55].”