Non-perturbative contributions to the plane-wave string mass matrix

Green, Michael; Kovacs, Stefano; Sinha, Aninda

doi:10.1088/1126-6708/2005/05/055

Cited by 14 publications

(44 citation statements)

References 57 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The form of the conjugate operator is similar to (7) The string states which we are interested in, dual to operators of the form (7), are schematically, up to an overall normalization, of the form (see [3] for notation)…”

Section: Bmn Operatorsmentioning

confidence: 99%

“…D-instanton contributions to such amplitudes are computed using the boundary state constructed in [24] and the formalism of [3].…”

Section: A D-instanton Induced Two-point Amplitudesmentioning

confidence: 99%

“…In (59) j r i 1 and j s i 2 denote the incoming and outgoing states, respectively, and r and s collectively indicate the corresponding quantum numbers, including the mode numbers. k V 2 ii is the dressed two-boundary state [3], which contains the dependence on the bosonic and fermionic moduli and couples to any pair of physical states,…”

Section: A D-instanton Induced Two-point Amplitudesmentioning

confidence: 99%

“…Numerous tests of this relation have been carried out at the perturbative level [8][9][10][11][12][13][14]. In [3,4] D-instanton contributions to the plane wave string mass matrix for certain states with up to four bosonic string excitations were shown to be in striking agreement with instanton contributions to the matrix of anomalous dimensions in the corresponding sectors of the dual gauge theory. A brief review of these results is presented in [15].…”

Section: Introductionmentioning

confidence: 97%

“…Nonperturbative aspects of the duality have recently been analyzed in [3,4], where it was shown that the striking agreement between the effects of D-instantons and of Yang-Mills instantons, found in the original formulations of the AdS/CFT correspondence [5][6][7], persists in the BMN/plane wave limit. This paper extends this analysis to include bosonic states with an even number of fermionic impurities in the gauge theory and the corresponding R R states in the dual string theory.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Mixing of the RR and NSNS sectors in the Berenstein-Maldacena-Nastase limit

2006

Self Cite

View full text Add to dashboard Cite

This paper concerns instanton contributions to two-point correlation functions of BerensteinMaldacena-Nastase (BMN) operators in N 4 supersymmetric Yang-Mills theory that vanish in planar perturbation theory. Two-point functions of operators with even numbers of fermionic impurities (dual to R R string states) and with purely scalar impurities (dual to NS NS string states) are considered. This includes mixed R R-NS NS two-point functions. The gauge theory correlation functions are shown to respect BMN scaling and their behavior is found to be in good agreement with the corresponding D-instanton contributions to two-point amplitudes in the maximally supersymmetric IIB plane wave string theory. The string theory calculation also shows a simple dependence of the mass matrix elements on the mode numbers of states with an arbitrary number of impurities, which is difficult to extract from the gauge theory. For completeness, a discussion is also given of the perturbative mixing of two impurity states in the R R and NS NS sectors at the first nonplanar level.

show abstract

Section: Bmn Operatorsmentioning

confidence: 99%

“…D-instanton contributions to such amplitudes are computed using the boundary state constructed in [24] and the formalism of [3].…”

Section: A D-instanton Induced Two-point Amplitudesmentioning

confidence: 99%

Section: A D-instanton Induced Two-point Amplitudesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Mixing of the RR and NSNS sectors in the Berenstein-Maldacena-Nastase limit

2006

Self Cite

View full text Add to dashboard Cite

show abstract

Soil microbial carbon and activity along with land use and geographic gradients

Broring

Goss‐Souza

Baretta

et al. 2022

Preprint

View full text Add to dashboard Cite

Testing AdS/CFT at string loops

Grignani¹,

Orselli²,

Ramadanovic

et al. 2007

Fortschritte der Physik

View full text Add to dashboard Cite

This article is based on the result obtained in hep‐th/0508126 and hep‐th/0605080 where we use the IIB light‐cone string field theory proposed by Dobashi and Yoneya to compute the one string‐loop correction to the energies of two impurity BMN states. We found that the result agrees with the gauge theory prediction at leading order – one‐loop in Yang‐Mills theory – and that is quite close also at second order in Yang‐Mills loops. We furthermore find that the half integer powers in the t'Hooft coupling are absent up to the 7/2 power.

show abstract

Non-perturbative contributions to the plane-wave string mass matrix

Cited by 14 publications

References 57 publications

Mixing of the RR and NSNS sectors in the Berenstein-Maldacena-Nastase limit

Mixing of the RR and NSNS sectors in the Berenstein-Maldacena-Nastase limit

Soil microbial carbon and activity along with land use and geographic gradients

Testing AdS/CFT at string loops

Contact Info

Product

Resources

About