Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT
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Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT. / Harmark, Troels; Hartong, Jelle; Obers, Niels A.; Oling, Gerben.
In: Journal of High Energy Physics, Vol. 2021, No. 3, 129, 11.03.2021.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Spin Matrix theory string backgrounds and Penrose limits of AdS/CFT
AU - Harmark, Troels
AU - Hartong, Jelle
AU - Obers, Niels A.
AU - Oling, Gerben
PY - 2021/3/11
Y1 - 2021/3/11
N2 - Spin Matrix theory (SMT) limits provide a way to capture the dynamics of the AdS/CFT correspondence near BPS bounds. On the string theory side, these limits result in non-relativistic sigma models that can be interpreted as novel non-relativistic strings. This SMT string theory couples to non-relativistic U(1)-Galilean background geometries. In this paper, we explore the relation between pp-wave backgrounds obtained from Penrose limits of AdS(5) x S-5, and a new type of U(1)-Galilean backgrounds that we call flat-fluxed (FF) backgrounds. These FF backgrounds are the simplest possible SMT string backgrounds and correspond to free magnons from the spin chain perspective. We provide a catalogue of the U(1)-Galilean backgrounds one obtains from SMT limits of string theory on AdS(5) x S-5 and subsequently study large charge limits of these geometries from which the FF backgrounds emerge. We show that these limits are analogous to Penrose limits of AdS(5) x S-5 and demonstrate that the large charge/Penrose limits commute with the SMT limits. Finally, we point out that U(1)-Galilean backgrounds prescribe a symplectic manifold for the transverse SMT string embedding fields. This is illustrated with a Hamiltonian derivation for the SMT limit of a particle.
AB - Spin Matrix theory (SMT) limits provide a way to capture the dynamics of the AdS/CFT correspondence near BPS bounds. On the string theory side, these limits result in non-relativistic sigma models that can be interpreted as novel non-relativistic strings. This SMT string theory couples to non-relativistic U(1)-Galilean background geometries. In this paper, we explore the relation between pp-wave backgrounds obtained from Penrose limits of AdS(5) x S-5, and a new type of U(1)-Galilean backgrounds that we call flat-fluxed (FF) backgrounds. These FF backgrounds are the simplest possible SMT string backgrounds and correspond to free magnons from the spin chain perspective. We provide a catalogue of the U(1)-Galilean backgrounds one obtains from SMT limits of string theory on AdS(5) x S-5 and subsequently study large charge limits of these geometries from which the FF backgrounds emerge. We show that these limits are analogous to Penrose limits of AdS(5) x S-5 and demonstrate that the large charge/Penrose limits commute with the SMT limits. Finally, we point out that U(1)-Galilean backgrounds prescribe a symplectic manifold for the transverse SMT string embedding fields. This is illustrated with a Hamiltonian derivation for the SMT limit of a particle.
KW - AdS-CFT Correspondence
KW - Sigma Models
KW - Bosonic Strings
U2 - 10.1007/JHEP03(2021)129
DO - 10.1007/JHEP03(2021)129
M3 - Journal article
VL - 2021
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 3
M1 - 129
ER -
ID: 259824926