Abstract
The present Letter derives multispin nonrelativistic magnon spectrum considering various near BPS corners within SU(1,2|3) Spin-Matrix theory (SMT) limit of strings on AdS5×S5. In particular, we focus on some typical rotating string solutions those correspond to two spin as well as three spin configurations in the bulk and identify the associated nonrelativistic magnon like excitations in these models.
Highlights
The conjectured duality between the quantum mechanical/ Spin-Matrix theory (SMT) limit [1]-[5] of N = 4 SYM and the nonrelativistic strings [6]-[7] propagating in AdS5 × S5 [8]-[9] has opened up a new era in the context of nonrelativstic gauge/string duality
Keeping the spirit of the discussion as alluded to above, it is worthwhile to mention that a similar analysis in the SMT limit of magnons in N = 4 SYM and in particular unfolding its connection with nonrelativistic rotating strings propagating on U(1) Galielan geometries is still lacking in the literature
The purpose of the present paper is to address some of these issues considering SU(1, 2|3) SMT limit of strings on AdS5 × S5 [9] and thereby providing a concrete map between the nonrelativistic stringy spectra and the corresponding quantum mechanical limit [5] of giant magnon dispersion relations in
Summary
Nonrelativistic string sigma models on curved manifolds seem to have two parallel formulations One of these formulations is based on taking a large c limit of relativistic string theory on string Newton-Cartan (SNC) geometry [10]-[11]. Interesting physics emerges after taking a second nonrelativistic (large c) limit on the worldsheet degrees of freedom This is the limit which seems to provide a dual (stringy) description [8]-[9] for the near BPS sector in N = 4 SYM [5]. The purpose of the present paper is to address some of these issues considering SU(1, 2|3) SMT limit of strings on AdS5 × S5 [9] and thereby providing a concrete map between the nonrelativistic stringy spectra and the corresponding quantum mechanical limit [5] of giant magnon dispersion relations in. A similar interpretation for the three spin solution remains to be understood
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