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Solving AdS $_{3}$ string theory at minimal tension: tree-level correlators

Andrea Dei
(
- Chicago U., EFI
)
,
Bob Knighton
(
- Cambridge U., DAMTP and
- Zurich, ETH
)
,
Kiarash Naderi
(
- Zurich, ETH
)

Dec 7, 2023

64 pages

Published in:

JHEP 09 (2024) 135

Published: Sep 19, 2024

e-Print:

2312.04622 [hep-th]

DOI:

10.1007/JHEP09(2024)135

View in:

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Abstract: (Springer)

We revisit the minimal tension (k = 1) string theory on AdS

_{3}

× S

^{3}

× 𝕋

^{4}

. We propose a new free-field description of the worldsheet theory and show how localization of string amplitudes emerges from the path integral. We exemplify our proposal by reproducing the worldsheet partition function of the

\mathfrak{psu}

(1, 1|2)

_{1}

WZW model and providing explicit expressions for spectrally-flowed vertex operators and DDF operators. We compute string correlators in the path integral formalism and obtain a precise tree-level match with correlation functions of the boundary symmetric orbifold.

Note:

v2: minor typos corrected, one reference added

AdS-CFT Correspondence
Conformal and W Symmetry
Conformal Field Models in String Theory
operator: vertex
string: correlation function
string model
tension
tree approximation
AdS(3) x S(3) x T(4)
path integral

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