Lsz in LST
Abstract
We discuss the analytic structure of offshell correlation functions in Little String Theories (LSTs) using their description as asymptotically linear dilaton backgrounds of string theory. We focus on specific points in the LST moduli space where this description involves the spacetime R^{d1,1}×SL(2)/U(1) times a compact CFT, though we expect our qualitative results to be much more general. We show that npoint functions of vertex operators O(p _{μ}) have single poles as a function of the ddimensional momentum p_{μ}, which correspond to normalizable states localized near the tip of the SL(2)/ U(1) cigar. Additional poles arise due to the nontrivial dynamics in the bulk of the cigar, and these can lead to a type of UV/IR mixing. Our results explain some previously puzzling features of the low energy behavior of the Green functions. As another application, we compute the precise combinations of singletrace and multitrace operators in the lowenergy gauge theory which map to single string vertex operators in the N=(1,1) supersymmetric d=6 LST. We also discuss the implications of our results for twodimensional string theories and for the (nonexistence of a) Hagedorn phase transition in LSTs.
 Publication:

Nuclear Physics B
 Pub Date:
 July 2004
 DOI:
 10.1016/j.nuclphysb.2004.05.015
 arXiv:
 arXiv:hepth/0404016
 Bibcode:
 2004NuPhB.691....3A
 Keywords:

 11.25.Pm;
 Noncritical string theory;
 High Energy Physics  Theory
 EPrint:
 93 pages