Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-07-08
JHEP 1012:089,2010
Physics
High Energy Physics
High Energy Physics - Theory
42 pages; version 4: added clarifications in section 2.2 and footnotes 1 and 2
Scientific paper
10.1007/JHEP12(2010)089
We investigate sl(n) conformal Toda theory with maximally symmetric boundaries. There are two types of maximally symmetric boundary conditions, due to the existence of an order two automorphism of the W(n>2) algebra. In one of the two cases, we find that there exist D-branes of all possible dimensions 0 =< d =< n-1, which correspond to partly degenerate representations of the W(n) algebra. We perform classical and conformal bootstrap analyses of such D-branes, and relate these two approaches by using the semi-classical light asymptotic limit. In particular we determine the bulk one-point functions. We observe remarkably severe divergences in the annulus partition functions, and attribute their origin to the existence of infinite multiplicities in the fusion of representations of the W(n>2) algebra. We also comment on the issue of the existence of a boundary action, using the calculus of constrained functional forms, and derive the generating function of the B"acklund transformation for sl(3) Toda classical mechanics, using the minisuperspace limit of the bulk one-point function.
Fateev Vladimir
Ribault Sylvain
No associations
LandOfFree
Conformal Toda theory with a boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conformal Toda theory with a boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conformal Toda theory with a boundary will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-102369