Topological matrix models, Liouville matrix model and c = 1 string theory

Oct, 2003
35 pages
e-Print:
Report number:
  • TIFR-TH-03-21

Citations per year

20032008201320182023024681012
Abstract:
This is a review of some beautiful matrix models related to the moduli space of Riemann surfaces as well as to noncritical c=1 string theory at self-dual radius. These include the Penner model and the W-infinity model, which have different origins but are equivalent to each other. In the final section, which is new material, it is shown that these models are also equivalent to a Liouville matrix model. We speculate that this might be interpreted in terms of N D-instantons of the c=1 string.
  • talk: Caspian Sea 2003/09/29
  • matrix model: topological
  • field theory: Liouville
  • string model
  • central charge: 1
  • instanton
  • algebra: W(N)
  • transformation: conformal
  • tachyon
  • energy