Journal article
From coadjoint orbits to scale invariant WZNW type actions and 2D quantum gravity action
Nuclear physics. B, Vol.341(1), pp.119-133
1990
DOI: 10.1016/0550-3213(90)90264-E
Abstract
By using a geometrical procedure outlined by Balachandran we are able to show that the Wess-Zumino-Novikov-Witten action arises naturally from the coadjoint orbit of a purely central extended coadjoint vector of the Kac-Moody group. Consideration of other orbits leads to an action thhat motivates us to write a possibly new class of scale invariant models which are “interacting” WZNW models. We are able to construct several scale invariant theories that appear to be interacting WZNW models. We then apply these techniques to the Virasoro group and show explicitly that the coadjoint orbit corresponding to Diff S
1/S
1 leads precisely to Polyakov's 2D quantum gravity which uses the light-cone gauge. From here it is possible to consider any arbitrary coadjoint orbit and construct an action. In particular, we are able to write actions for the orbits Diff S
1/SL(2,
R
)
n invariant under
L
n
,
L
0,
L
−
n
of the Viraso algebra. We make several comments with regard to extending these models.
Details
- Title: Subtitle
- From coadjoint orbits to scale invariant WZNW type actions and 2D quantum gravity action
- Creators
- Balram Rai - Syracuse UniversityV.G.J Rodgers - Stony Brook University
- Resource Type
- Journal article
- Publication Details
- Nuclear physics. B, Vol.341(1), pp.119-133
- DOI
- 10.1016/0550-3213(90)90264-E
- ISSN
- 0550-3213
- eISSN
- 1873-1562
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 1990
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199830602771
Metrics
7 Record Views