Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory

Bianchi, Massimo; Kovacs, Stefano; Rossi, Giancarlo; Green, Michael

doi:10.1088/1126-6708/1998/08/013

Cited by 157 publications

(368 citation statements)

References 53 publications

(120 reference statements)

Supporting

Mentioning

347

Contrasting

Unclassified

Order By: Relevance

“…Perturbative computations involving such operators have been performed at order g 2 in [12,13]. Motivated by the presence of string corrections to the AdS effective action [14,15], instanton computations have been carried out in [16,17,18,13]. All such computations show logarithmic behaviours at short-distances that allow an interpretation in terms of anomalous dimensions of unprotected operators in long supermultiplets exchanged in intermediate channels [13].…”

Section: Introduction and Summary Of The Resultsmentioning

confidence: 99%

“…We find it convenient to analyse the four-point correlator G (V ) , defined in (15). One-loop [12], one-instanton [16,13] and two-loop [23] computations give sG (V ) = G (H) . The OPE analysis of the g 4 contribution to G (V ) , as it is obtained from the above functional relation, confirms the non-renormalisation of the 105 operators.…”

Section: Logarithms and Anomalous Dimensionsmentioning

confidence: 99%

See 1 more Smart Citation

Anomalous dimensions in SYM theory at order

et al. 2000

Self Cite

View full text Add to dashboard Cite

We compute four-point correlation functions of scalar composite operators in the N =4 supercurrent multiplet at order g 4 using the N =1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators exchanged in the intermediate channels and we determine the two-loop contribution to the anomalous dimension of the N =4 Konishi supermultiplet.

show abstract

Section: Introduction and Summary Of The Resultsmentioning

confidence: 99%

Section: Logarithms and Anomalous Dimensionsmentioning

confidence: 99%

Anomalous dimensions in SYM theory at order

et al. 2000

Self Cite

View full text Add to dashboard Cite

show abstract

“…The role of D-instantons and their relation to the gauge theory instantons have been intensively studied from many different points of view in the last years (see for example Refs. [10,11,12,14,13,15,16,17,18]; for recent reviews on this subject see Refs. [20,21,22] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Classical gauge instantons from open strings

Billó

Frau

Pesando

et al. 2003

J. High Energy Phys.

163

491

View full text Add to dashboard Cite

We study the D3/D(−1) brane system and show how to compute instanton corrections to correlation functions of gauge theories in four dimensions using open string techniques. In particular we show that the disks with mixed boundary conditions that are typical of the D3/D(−1) system are the sources for the classical instanton solution. This can then be recovered from simple calculations of open string scattering amplitudes in the presence of D-instantons. Exploiting this fact we also relate this stringy description to the standard instanton calculus of field theory.

show abstract

“…In the following we will construct our candidate for the modified string background using the Weierstrass function. 4 We recall that the Weierstrass function is a function of two complex variables and is defined by…”

Section: Metric and Form-fieldsmentioning

confidence: 99%

String theory dual of the β-deformed gauge theory

Chu

Khoze

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We consider the AdS/CFT correspondence between the β-deformed supersymmetric gauge theory and the type IIB string theory on the Lunin-Maldacena background. Guided by gauge theory results, we modify and extend the supergravity solution of Lunin and Maldacena in two ways. First we make it to be doubly periodic in the deformation parameter, β → β + 1 and β → β + τ 0 , to match the β-periodicity property of the dual gauge theory. Secondly, we reconcile the SL(2, Z) symmetry of the gauge theory, which acts on the constant parameters τ 0 and β, with the SL(2, Z) invariance of the string theory, which involves the dilaton-axion field τ (x). Our proposed modified configuration transforms correctly under the SL(2, Z) of string theory when its parameters are transformed under the SL(2, Z) of the gauge theory. We interpret the resulting configuration as the string theory (rather than supergravity) background which is dual to the β-deformed conformal Yang-Mills. Finally, we check that our string theory background leads to the IIB effective action which is correctly reproduced by instanton calculations on the gauge theory side, carried out at weak coupling, in the large-N limit, but to all orders in the deformation parameter β.

show abstract

Instantons in supersymmetric Yang-Mills and D-instantons in IIB superstring theory

Cited by 157 publications

References 53 publications

Anomalous dimensions in SYM theory at order

Anomalous dimensions in SYM theory at order

Classical gauge instantons from open strings

String theory dual of the β-deformed gauge theory

Contact Info

Product

Resources

About