Abstract
We discuss the analytic structure of off-shell 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 Rd-1,1× SL(2)/U(1) times a compact CFT, though we expect our qualitative results to be much more general. We show that n-point functions of vertex operators O(pμ) have single poles as a function of the d-dimensional momentum pμ, which correspond to normalizable states localized near the tip of the SL(2)/U(1) cigar. Additional poles arise due to the non-trivial 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 single-trace and multi-trace operators in the low-energy 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 two-dimensional string theories and for the (non-existence of a) Hagedorn phase transition in LSTs.
| Original language | English |
|---|---|
| Pages (from-to) | 3-78 |
| Number of pages | 76 |
| Journal | Nuclear Physics B |
| Volume | 691 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 19 Jul 2004 |
Bibliographical note
Funding Information:We would like to thank Y. Antebi, M. Berkooz, S. Dimopoulos, N. Dorey, B. Fiol, E. Kiritsis, J. Maldacena, A. Naqvi, V. Niarchos, N. Seiberg, E. Silverstein and T. Volansky for useful discussions. O.A. would like to thank Stanford University, SLAC and Harvard University for hospitality during the course of this project. A.G. would like to thank the EFI and the Department of Physics at the University of Chicago, where this work was initiated, for its warm hospitality. D.K. thanks the Weizmann Institute of Science, LPTHE Paris VI and the NHETC at Rutgers University for hospitality. The work of O.A. was supported in part by the Israel–US Binational Science Foundation and by Minerva. O.A. is the incumbent of the Joseph and Celia Reskin career development chair. The work of A.G. was supported in part by the German–Israel Bi-National Science Foundation. The work of O.A. and A.G. is supported in part by the Israel Academy of Sciences and Humanities—Centers of Excellence Program, by the European network HPRN-CT-2000-00122, and by the Albert Einstein Minerva Center for Theoretical Physics. Minerva is funded through the BMBF. D.K. is supported in part by DOE grant #DE-FG02-90ER40560.