Large J expansion in ABJM theory revisited

Dimov, H.; Mladenov, Stefan; Rashkov, R. C.

doi:10.1140/epjc/s10052-014-3042-9

Cited by 2 publications

(2 citation statements)

References 44 publications

(51 reference statements)

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“…By the same token, following a program of study initiated in [43], we have computed all the leading, subleading and next-to-subleading coefficients in the large-spin expansion of the anomalous dimensions of twist-2 operators that are dual to long folded strings spinning inside AdS 3 . In [44] the above analysis was applied to strings rotating inside AdS 4 × CP 3 . Crucial to all of these computations was the fact that the corresponding expansions can be expressed in terms of Lambert's W-function.…”

Section: Introductionmentioning

confidence: 99%

Large-spin and large-winding expansions of giant magnons and single spikes

Floratos

Λιναρδόπουλος

2015

Nuclear Physics B

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We generalize the method of our recent paper on the large-spin expansions of Gubser-Klebanov-Polyakov (GKP) strings to the large-spin and large-winding expansions of finitesize giant magnons and finite-size single spikes. By expressing the energies of long open strings in R × S 2 in terms of Lambert's W-function, we compute the leading, subleading and next-to-subleading series of classical exponential corrections to the dispersion relations of Hofman-Maldacena giant magnons and infinite-winding single spikes. We also compute the corresponding expansions in the doubled regions of giant magnons and single spikes that are respectively obtained when their angular and linear velocities become smaller or greater than unity. * E-mails: mflorato@phys.uoa.gr, glinard@inp.demokritos.gr. arXiv:1406.0796v4 [hep-th] 11 Nov 2015 E Lambert's W-Function 36 F Elliptic Integrals and Jacobian Elliptic Functions 381 We shall employ the following convention in our paper: E, J, p = ∞ and v, ω = 1 will denote infinite size (as obtained by computing the lim J/p→∞ , lim v/ω→1 ) and E, J, p → ∞, v, ω → 1 will denote large but still finite size.2 The compact su (2) sector of N = 4 super Yang-Mills consists of the single-trace operators Tr Z J X M , where X , Y, Z are the three complex scalar fields of N = 4 SYM, composed out of the six real scalars Φ of the theory. The su (2) sector is dual to (closed) strings that rotate in R × S 3 ⊂ AdS5 × S 5 and its one-loop dilatation operator is given by the Hamiltonian of the ferromagnetic XXX 1/2 Heisenberg spin chain.

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Section: Introductionmentioning

confidence: 99%

Large-spin and large-winding expansions of giant magnons and single spikes

Floratos

Λιναρδόπουλος

2015

Nuclear Physics B

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“…For an application of the W-function to the dispersion relation of strings that rotate inside AdS 4 × CP 3 , see[26] 12. Along the lines of[27] for example.…”

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confidence: 99%

Large-spin Expansions of Giant Magnons

Λιναρδόπουλος¹

2015

Proceedings of Proceedings of the Corfu Summer Institute 2014 — PoS(CORFU2014)

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This is a talk delivered at the Workshop on Quantum Fields and Strings of the 2014 Corfu Summer Institute. We discuss how giant magnons emerge in the context of AdS 5 /CFT 4 correspondence as the gravity duals of N = 4 super Yang-Mills magnon excitations. Then we present a new analytic expression for the dispersion relation of classical finite-size giant magnons with Lambert's Wfunction. * Speaker.

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Large J expansion in ABJM theory revisited

Cited by 2 publications

References 44 publications

Large-spin and large-winding expansions of giant magnons and single spikes

Large-spin and large-winding expansions of giant magnons and single spikes

Large-spin Expansions of Giant Magnons

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