Quantum strings in AdS 5 × S 5

Strong-coupling corrections to dimension of Konishi operator

Radu Roiban, A. A. Tseytlin

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ 1/4+b 0+b 1λ -1/4+b 3λ -3/4+..., where b 0 and b 1 are rational while b 3 is transcendental (containing ζ(3)). Explicitly, we argue that b 0 = Δ 0-4 (where Δ 0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b 1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

Original languageEnglish (US)
Article number013
JournalJournal of High Energy Physics
Volume2009
Issue number11
DOIs
StatePublished - Nov 25 2009

Fingerprint

strings
operators
fine structure
expansion
predictions
gauge theory
coefficients
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

@article{9e5112ff823e4267aa1b105bdbf2a1df,
title = "Quantum strings in AdS 5 × S 5: Strong-coupling corrections to dimension of Konishi operator",
abstract = "We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ 1/4+b 0+b 1λ -1/4+b 3λ -3/4+..., where b 0 and b 1 are rational while b 3 is transcendental (containing ζ(3)). Explicitly, we argue that b 0 = Δ 0-4 (where Δ 0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b 1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.",
author = "Radu Roiban and Tseytlin, {A. A.}",
year = "2009",
month = "11",
day = "25",
doi = "10.1088/1126-6708/2009/11/013",
language = "English (US)",
volume = "2009",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "11",

}

Quantum strings in AdS 5 × S 5 : Strong-coupling corrections to dimension of Konishi operator. / Roiban, Radu; Tseytlin, A. A.

In: Journal of High Energy Physics, Vol. 2009, No. 11, 013, 25.11.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Quantum strings in AdS 5 × S 5

T2 - Strong-coupling corrections to dimension of Konishi operator

AU - Roiban, Radu

AU - Tseytlin, A. A.

PY - 2009/11/25

Y1 - 2009/11/25

N2 - We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ 1/4+b 0+b 1λ -1/4+b 3λ -3/4+..., where b 0 and b 1 are rational while b 3 is transcendental (containing ζ(3)). Explicitly, we argue that b 0 = Δ 0-4 (where Δ 0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b 1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

AB - We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ 1/4+b 0+b 1λ -1/4+b 3λ -3/4+..., where b 0 and b 1 are rational while b 3 is transcendental (containing ζ(3)). Explicitly, we argue that b 0 = Δ 0-4 (where Δ 0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b 1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

UR - http://www.scopus.com/inward/record.url?scp=84856388458&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856388458&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2009/11/013

DO - 10.1088/1126-6708/2009/11/013

M3 - Article

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

M1 - 013

ER -