Bootstrapping line defects in AdS$_{3}$/CFT$_{2}$

Bliard, Gabriel; Correa, Diego H.; Lagares, Martín; Salazar Landea, Ignacio

doi:10.1007/JHEP01(2025)131

Bootstrapping line defects in AdS $_{3}$ /CFT $_{2}$

Gabriel Bliard
(
- LPENS, Paris
)
,
Diego H. Correa
(
- La Plata U.
)
,
Martín Lagares
(
- La Plata U. and
- Garching, Max Planck Inst.
)
,
Ignacio Salazar Landea
(
- La Plata U.
)

Oct 3, 2024

41 pages

Published in:

JHEP 01 (2025) 131

Published: Jan 28, 2025

e-Print:

2410.02685 [hep-th]

DOI:

10.1007/JHEP01(2025)131

View in:

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Abstract: (Springer)

We study correlators of insertions along 1/2 BPS line defects in the holographic dual to type IIB string theory in AdS

_{3}

× S

^{3}

× T

^{4}

with mixed Ramond-Ramond and Neveu Schwarz-Neveu Schwarz three-form flux. These defects break the symmetries of the bulk CFT

_{2}

as PSU(1, 1|2)

^{2}

× SO(4) → PSU(1, 1|2) × SU(2), defining displacement and tilt supermultiplets. We focus on the two-, three- and four-point functions of these supermultiplets, which we compute using analytic conformal bootstrap up to next-to-leading order in their strong-coupling expansion. We obtain a bootstrap result that only depends on two OPE coefficients. We perform a Witten diagram check of the bootstrap result, obtaining an holographic interpretation of the two OPE coefficients that are not constrained by the bootstrap procedure.

Note:

41 pages, 3 figures; v2: minor changes, references added, version published in JHEP

AdS-CFT Correspondence
Scale and Conformal Symmetries
Wilson, ’t Hooft and Polyakov loops

References(68)

Figures(0)

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