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Journal Article
The worldsheet dual of the symmetric product CFT
2019
Overview
A
bstract
Superstring theory on
AdS
3
×
S
3
×
T
4
with the smallest amount of NS-NS flux (“
k
= 1”) is shown to be dual to the spacetime CFT given by the large
N
limit of the free symmetric product orbifold Sym
N
T
4
. To define the worldsheet theory at
k
= 1, we employ the hybrid formalism in which the AdS
3
× S
3
part is described by the
p
s
u
1
,
1
|
2
1
WZW model (which is well defined). Unlike the case for
k
≥ 2, it turns out that the string spectrum at
k
= 1 does
not
exhibit the long string continuum, and perfectly matches with the large
N
limit of the symmetric product. We also demonstrate that the fusion rules of the symmetric orbifold are reproduced from the worldsheet perspective. Our proposal therefore affords a tractable worldsheet description of a tensionless limit in string theory, for which the dual CFT is also explicitly known.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
