Quantum corrections to energy of short spinning string in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>AdS</mml:mi><mml:mn>5</mml:mn></mml:msub></mml:math>

Tirziu, A.; Tseytlin, Arkady A.

doi:10.1103/physrevd.78.066002

Cited by 37 publications

(86 citation statements)

References 24 publications

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“…Strings at the semiclassical level correspond to operators with large charges in the field theory and a reasonable understanding of this situation has been achieved [3,4]. On the other side, when the semiclassical parameters are small, corresponding to short operators in the field theory, results for folded strings [5,6] and pulsating strings [7] are providing new data to support the correspondence.…”

Section: Introductionmentioning

confidence: 50%

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Pulsating strings in Lunin-Maldacena backgrounds

Giardino

Rivelles

2011

J. High Energ. Phys.

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We consider pulsating strings in Lunin-Maldacena backgrounds, specifically in deformed Minkowski spacetime and deformed AdS 5 × S 5 . We find the relation between the energy and the oscillation number of the pulsating string when the deformation is small. Since the oscillation number is an adiabatic invariant it can be used to explore the regime of highly excited string states. We then quantize the string and look for such a sector. For the deformed Minkowski background we find a precise match with the classical results if the oscillation number is quantized as an even number. For the deformed AdS 5 × S 5 we find a contribution which depends on the deformation parameter.

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Section: Introductionmentioning

confidence: 50%

“…We now have a string oscillating all the way from the equator to one of the poles of the deformed sphere. We can rewrite (4.3) aṡ 5) where, in the limit of small deformation, we have…”

Section: Pulsating Strings In the Deformed Sphere Of Ads 5 × S 5 γmentioning

confidence: 99%

Pulsating strings in Lunin-Maldacena backgrounds

Giardino

Rivelles

2011

J. High Energ. Phys.

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“…Different such sets of numbers give rise to different solutions of the Bethe ansatz equations. The folded string solution in AdS 3 reduces [22] to the folded string solution in flat space in the limit S √ λ ≪ 1. In flat space we can quantize the string exactly in terms of right and left moving waves propagating on the string.…”

Section: Jhep07(2009)038mentioning

confidence: 99%

Spiky strings in the SL(2) Bethe Ansatz at strong coupling from AdS/CFT

Freyhult

Kruczenski

Tirziu

2009

J. High Energy Phys.

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We study spiky strings in the context of the SL(2) Bethe ansatz equations. We find an asymmetric distribution of Bethe roots along one cut that determines the all loop anomalous dimension at leading and subleading orders in a large S expansion. At leading order in strong coupling (large λ) we obtain that the energy of such states is given, in terms of the spin S and the number of spikes n by E−S = n √ λ 2π. This result matches perfectly the same expansion obtained from the known spiky string classical solution.We then discuss a two cut spiky string Bethe root distribution at one-loop in the SL(2) Bethe ansatz. In this case we find a limit where n → ∞, keeping E+S n 2 , E−S n , J n fixed. This is the one loop version of a limit previously considered in the context of the string classical solutions in AdS 5 × S 5 . In that case it was related to a string solution in the AdS pp-wave background.

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“…Such relations may provide a semiclassical approach complementary to that of [25,26] to the calculation of anomalous dimensions of short operators, in particular of members of the Konishi multiplet. 19 In this note we discussed in detail the relation between the null and partial null limits of correlation functions and the expectation value of null polygonal Wilson loops as well as the correlation functions of such Wilson loops and local gauge invariant operators.…”

Section: Remarksmentioning

confidence: 99%