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Bootstrapping string theory on AdS$_5 \times S^5$

Bootstrapping string theory on AdS$_5 \times S^5$
Bootstrapping string theory on AdS$_5 \times S^5$
We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of constraints on the form of the spectrum uniquely fix the amplitude and double-trace anomalous dimensions at this order. The results exhibit a number of natural patterns which suggest that the bootstrap approach outlined here will extend to higher orders in a simple way.
hep-th
arXiv
Drummond, J. M.
e7894df7-bd83-4121-b867-3a1737150291
Paul, H.
4f7ce88c-6890-4341-a126-f5a53329be63
Santagata, M.
f4f33efa-a3bf-49cc-baa2-09660b556261
Drummond, J. M.
e7894df7-bd83-4121-b867-3a1737150291
Paul, H.
4f7ce88c-6890-4341-a126-f5a53329be63
Santagata, M.
f4f33efa-a3bf-49cc-baa2-09660b556261

[Unknown type: UNSPECIFIED]

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Abstract

We make an ansatz for the Mellin representation of the four-point amplitude of half-BPS operators of arbitrary charges at order $\lambda^{-\frac{5}{2}}$ in an expansion around the supergravity limit. Crossing symmetry and a set of constraints on the form of the spectrum uniquely fix the amplitude and double-trace anomalous dimensions at this order. The results exhibit a number of natural patterns which suggest that the bootstrap approach outlined here will extend to higher orders in a simple way.

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2004.07282v1
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Published date: 15 April 2020
Additional Information: 6 pages
Keywords: hep-th
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Identifiers

Local EPrints ID: 471818
URI: http://eprints.soton.ac.uk/id/eprint/471818
DOI: doi:10.48550/arXiv.2004.07282
PURE UUID: 5ee57ac4-3544-4fac-92d4-5ff60faa2c70
ORCID for H. Paul: ORCID iD orcid.org/0000-0002-2202-7971

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Date deposited: 21 Nov 2022 17:42
Last modified: 16 Mar 2024 22:19

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Author: J. M. Drummond
Author: H. Paul ORCID iD
Author: M. Santagata

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