The dilatation operator of conformal super-Yang–Mills theory

Beisert, Niklas; Kristjansen, Charlotte; Staudacher, Matthias

doi:10.1016/s0550-3213(03)00406-1

Cited by 660 publications

(803 citation statements)

References 69 publications

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“…Since it is instructive, we will first do the leading-order calculation of the string spectrum and its comparison with one-loop anomalous dimensions in some detail. We will then quote the results of the calculation of the string spectrum to higher orders in λ and discuss their comparisons with recently-determined higher-loop gauge theory anomalous dimensions [9].…”

Section: Quantization and Diagonalization Of The Perturbation Hamiltomentioning

confidence: 99%

“…Note that the shift is predicted to vanish beyond first order for the L = 4 level, the level which includes the bosonic SU (4) irrep that is forbidden to mix with fermionic operators. Parts of this prediction can in fact be checked: Beisert, Kristjansen and Staudacher [9] have computed the two-loop correction to anomalous dimensions of certain BMN operators in the gauge theory planar limit. The calculation is done for operators at level four in the supermultiplet, for which they find the following expression: …”

Section: So(4) Ads × So(4)mentioning

confidence: 99%

“…(The authors of [9] use the symbol J instead of R.) The discussion leading up to (46) implies that N = 4 supersymmetry allows us to infer the dimensions of all operators at all levels of this supermultiplet by making the substitution R → R + 2 − L/2 in the formula for the dimension of the L = 4 operator (R is the R-charge of the operator, whatever the level):…”

Section: So(4) Ads × So(4)mentioning

confidence: 99%

“…Corrections to the string spectrum should subsequently be compared with an expansion in inverse powers of R-charge of the dimensions of BMN-type gauge theory operators. For various reasons, a lot of attention has been paid to the problem of calculating these operator dimensions, and there is an extensive literature ranging over many topics: finding the proper limit to take to see the correspondence [6], careful calculations of operator dimensions at one loop [7], making explicit the extended supersymmetry structure of the problem [8], and, more recently, calculations of higher-loop anomalous dimensions [9] (and this is by no means an all-inclusive list of relevant papers!). The problem of developing the perturbation theory of worldsheet string dynamics in the AdS 5 × S 5 background has, however, received much less attention.…”

Section: Introductionmentioning

confidence: 99%

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Quantizing string theory in AdS5×S5: beyond the pp-wave

et al. 2003

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In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS 5 × S 5 reduces to that of a free field theory. It has been conjectured by Berenstein, Maldacena, and Nastase that the energy spectrum of this string theory matches the dimensions of operators in the appropriately defined large R-charge large-N c sector of N = 4 supersymmetric Yang-Mills theory in four dimensions. This holographic equivalence is thought to be exact, independent of any simplifying kinematic limits. As a step toward verifying this larger conjecture, we have computed the complete set of first curvature corrections to the spectrum of light-cone gauge string theory that arises in the expansion of AdS 5 × S 5 about the plane-wave limit. The resulting spectrum has the complete dependence on λ = g 2 Y M N c ; corresponding results in the gauge theory are known only to second order in λ. We find precise agreement to this order, including the N = 4 extended supermultiplet structure. In the process, we demonstrate that the complicated schemes put forward in recent years for defining the Green-Schwarz superstring action in background Ramond-Ramond fields can be reduced to a practical (and correct) method for quantizing the string.

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Section: Quantization and Diagonalization Of The Perturbation Hamiltomentioning

confidence: 99%

Section: So(4) Ads × So(4)mentioning

confidence: 99%

Section: So(4) Ads × So(4)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantizing string theory in AdS5×S5: beyond the pp-wave

et al. 2003

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“…The disagreement are the factor of 2 for Ref. [72], and approximately 2 (i.e., 19/8) for Ref. [73]; for the latter case, a resolution was proposed in the later paper [73], but its independent confirmation seems to be unclear so far.…”

Section: Conclusion and Open Questionsmentioning

confidence: 93%

Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy

Park

2004

J. High Energy Phys.

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The holographic principle is tested by examining the logarithmic and higher order corrections to the Bekenstein-Hawking entropy of black holes. For the BTZ black hole, I find some disagreement in the principle for a holography screen at spatial infinity beyond the leading order, but a holography with the screen at the horizon does not, with an appropriate choice of a period parameter, which has been undetermined at the leading order, in Carlip's horizon-CFT approach for black hole entropy in any dimension. Its higher dimensional generalization is considered to see a universality of the parameter choice. The horizon holography from Carlip's is compared with several other realizations of a horizon holography, including induced Wess-Zumino-Witten model approaches and quantum geometry approach, but none of the these agrees with Carlip's, after clarifications of some confusions. Some challenging open questions are listed finally.

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Strings in plane wave backgrounds

Pankiewicz

2003

Fortschritte der Physik

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I review aspects of string theory on plane wave backgrounds emphasising the connection to gauge theory given by the BMN correspondence. Topics covered include the Penrose limit and its role in deriving the BMN duality from AdS/CFT, light-cone string field theory in the maximally supersymmetric plane wave and extensions of the correspondence to less supersymmetric backgrounds.a Based on the author's PhD thesis,

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The dilatation operator of conformal super-Yang–Mills theory

Cited by 660 publications

References 69 publications

Quantizing string theory in AdS5×S5: beyond the pp-wave

Quantizing string theory in AdS5×S5: beyond the pp-wave

Testing Holographic Principle from Logarithmic and Higher Order Corrections to Black Hole Entropy

Strings in plane wave backgrounds

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