Correlation functions in the D1-D5 orbifold CFT

• Published in: The journal of high energy physics Vol. 2018; no. 6; pp. 1 - 34
• Main Authors: i Tormo, Joan Garcia, Taylor, Marika
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-06-2018; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Black holes; Black Holes in String Theory; Classical and Quantum Gravitation; Elementary Particles; High energy physics; Operators; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supergravity; Supersymmetry; Black Holes in String Theory; AdS-CFT Correspondence
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP06(2018)012

A
bstract
The D1-D5 system has an orbifold point in its moduli space, at which it may be described by an
N
= (4,4) supersymmetric sigma model with target space
M
N
/S
(
N
) where
M
is
T
4
or
K
3. In this paper we consider correlation functions involving chiral operators constructed from twist fields: we find explicit expressions for processes involving a twist
n
operator joining
n
twist operators of arbitrary twist. These expressions are universal, in that they are independent of the choice of
M
, and the final results can be expressed in a compact form. We explain how these results are relevant to the black hole microstate programme: one point functions of chiral operators can be used to reconstruct AdS
3
near horizon regions of D1-D5 microstates and to match microstates constructed in supergravity with the CFT.