T T ¯ deformations and the pp -wave correspondence

Horatiu Nastase, Jacob Sonnenschein

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Abstract

In this paper we consider TT¯ deformations in the context of pp waves obtained from gravity duals. We propose a deformation of AdS5×S5 similar to the deformation of the single trace TT¯ deformation of AdS3×S3×T4 with NS-NS flux, and study it through the Penrose limit, concluding that it must correspond to some dipole theory, probably noncommutative. We TT¯ deform the world sheet string for the AdS5×S5 pp wave, and find a corresponding spin chain Hamiltonian. Finally, directly TT¯ deforming the spin chain Hamiltonian obtained from the pp wave, we find that it corresponds to an equivalent Berenstein-Maldacena-Nastase (BMN) sector of the N=4 super Yang-Mills.

Original languageEnglish
Article number026012
JournalPhysical Review D
Volume108
Issue number2
DOIs
StatePublished - 15 Jul 2023

Funding

FundersFunder number
Fundação de Amparo à Pesquisa do Estado de São Paulo2019/13231-7, 2019/21281-4
Conselho Nacional de Desenvolvimento Científico e Tecnológico301491/2019-4
Israel Science Foundation2289/18
ICTP South American Institute for Fundamental Research2016/01343-7

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