Expectation values of descendent fields in the sine-Gordon model

Fateev, V.A.; Fradkin, Dmitriy; Lukyanov, Sergei L.; Zamolodchikov, A. B.

doi:10.1016/s0550-3213(98)00724-x

Cited by 274 publications

(670 citation statements)

References 33 publications

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“…The last relation was originally observed in [25] and follows already from (4.13) with n = 0 and |x| → ∞. On the other hand, we have from (4.6) that Summarizing, we have determined all the coefficients entering (4.6) apart from c which, being a derivative, remains unconstrained by the study of the expectation values (4.13).…”

Section: The Operator Ttsupporting

confidence: 54%

Matrix elements of the operator in integrable quantum field theory

Delfino

Niccoli

2005

Nuclear Physics B

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Recently A. Zamolodchikov obtained a series of identities for the expectation values of the composite operator TT constructed from the components of the energy-momentum tensor in two-dimensional quantum field theory. We show that if the theory is integrable the addition of a requirement of factorization at high energies can lead to the exact determination of the generic matrix element of this operator on the asymptotic states. The construction is performed explicitly in the Lee-Yang model.

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Section: The Operator Ttsupporting

confidence: 54%

Matrix elements of the operator in integrable quantum field theory

Delfino

Niccoli

2005

Nuclear Physics B

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“…The two-and three-point functions of Φ j (z,z; x,x) were computed in [18,19,20]. The two-point function is given by 8…”

Section: Discussionmentioning

confidence: 99%

“…The correlation functions in the world-sheet theory (on the sphere) can be reduced to standard 3-point functions of the SU(2) and SL(2) WZW models that have been determined before in [16,17] and [18,19,20], respectively. The comparison of the 2-point functions determines the relative normalisation constants between the field operators on both sides of the correspondence.…”

Section: Introductionmentioning

confidence: 99%

Worldsheet correlators in AdS₃/CFT₂

Gaberdiel¹,

Kirsch²

2007

J. High Energy Phys.

100

201

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The AdS 3 /CFT 2 correspondence is checked beyond the supergravity approximation by comparing correlation functions. To this end we calculate 2-and 3-point functions on the sphere of certain chiral primary operators for strings on AdS 3 × S 3 × T 4 . These results are then compared with the corresponding amplitudes in the dual 2-dimensional conformal field theory. In the limit of small string coupling, where the sphere diagrams dominate the string perturbation series, beautiful agreement is found.

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“…3 The non-reducible solution exists only if the Gram matrix is tridiagonal. Analyzing the two-point equations one can show that the Gram matrix must be built from one of the six elementary two-point blocks:…”

Section: Jhep11(2016)138mentioning

confidence: 99%

“…There are two well known examples: in rank n = 2 sineLiouville theory [3], and in rank n = 3 Fateev conformal three-field model [4]. Both theories…”

Section: Introductionmentioning

confidence: 99%