Weyl groups in AdS(3)/CFT2

Citation
M. Fukuma et al., Weyl groups in AdS(3)/CFT2, PROG T PHYS, 103(2), 2000, pp. 447-462
Citations number
38
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
103
Issue
2
Year of publication
2000
Pages
447 - 462
Database
ISI
SICI code
0033-068X(200002)103:2<447:WGIA>2.0.ZU;2-O
Abstract
A system of D1- and D5-branes with a Kaluza-Klein momentum is re-investigat ed using the five-dimensional U-duality group E6(+6)(Z). We show that the r esidual U-duality symmetry that keeps this D1-D5-KK system intact is generi cally given by a lift of the Weyl group of F4(+4), embedded as a finite sub group in E6(+6)(Z) We also show that the residual U-duality group is enhanc ed to F4(+4)(Z) when all three charges coincide. We then apply the analysis to the AdS(3)/CFT2 correspondence and discuss that among 28 marginal opera tors of CFT2 which couple to massless scalars of AdS(3) gravity at the boun dary, 16 would behave as exactly marginal operators for generic D1-D5-KK sy stems. This is shown by analyzing possible three-point couplings among the 42 Kaluza-Klein scalars with the use of their transformation properties und er the residual U-duality group.