The kinematical AdS5 × S5 Neumann coefficient

@article{Bajnok2015TheKA,
  title={The kinematical AdS5 × S5 Neumann coefficient},
  author={Zolt{\'a}n Bajnok and Romuald A. Janik},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2016},
  pages={1-25}
}
  • Z. BajnokR. Janik
  • Published 4 December 2015
  • Mathematics
  • Journal of High Energy Physics
A bstractFor the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string. In this paper we construct an exact solution of the kinematical axioms for AdS5 × S5 which includes all order wrapping corrections w.r.t. the size of the third string. This solution is expressed in terms of elliptic Gamma functions and ordinary elliptic functions. The… 
View on Springer
link.springer.com
13 Citations
Background Citations
2
Methods Citations
3

13 Citations

Structure constants at wrapping order

A bstractWe consider structure constants of single trace operators in planar N=4$$ \mathcal{N}=4 $$ Super-Yang-Mills theory within the hexagon framework. The standard procedure for forming a three…

Structure constants of operators on the Wilson loop from integrability

A bstractWe study structure constants of local operators inserted on the Wilson loop in N=4$$ \mathcal{N}=4 $$ super Yang-Mills theory. We conjecture the finite coupling expression of the structure…

Norms and scalar products for AdS3

We compute scalar products and norms of Bethe vectors in the massless sector of AdS3 integrable superstring theories, by exploiting the general difference form of the S-matrix of massless excitations…

Diagonal form factors and hexagon form factors II. Non-BPS light operator

A bstractWe study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the N=4$$ \mathcal{N}=4 $$ Super-Yang-Mills theory using the hexagon bootstrap approach, where the…

From the octagon to the SFT vertex — gluing and multiple wrapping

A bstractWe compare various ways of decomposing and decompactifying the string field theory vertex and analyze the relations between them. We formulate axioms for the octagon and show how it can be…

From the octagon to the SFT vertex — gluing and multiple wrapping

We compare various ways of decomposing and decompactifying the string field theory vertex and analyze the relations between them. We formulate axioms for the octagon and show how it can be glued to…

Three-point functions at strong coupling in the BMN limit

We consider structure constants of single-trace operators at strong coupling in planar N $$ \mathcal{N} $$ = 4 SYM theory using the hexagon formalism. We concentrate on heavy-heavy- light correlators…

Structure Constants of a Single Trace Operator and Determinant Operators from Hexagon

We study the structure constant of a single trace operator and two determinant operators in ${\cal N}=4$ super Yang-Mills theory. Holographically such a quantity corresponds to the interaction vertex…

Structure constants of operators on the Wilson loop from integrability

We study structure constants of local operators inserted on the Wilson loop in N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}…

Structure constants at wrapping order

We consider structure constants of single trace operators in planar N=4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}…

References

SHOWING 1-10 OF 23 REFERENCES

String field theory vertex from integrability

A bstractWe propose a framework for computing the (light cone) string field theory vertex in the case when the string worldsheet QFT is a generic integrable theory. The prime example and ultimate…

Comments on world-sheet form factors in AdS/CFT

We study form factors in the light-cone gauge world-sheet theory for strings in AdS5 ×S5. We perturbatively calculate the two-particle form factor in a closed su(2)?> sector to one-loop in the…

Foundations of the AdS5 × S5 superstring: I

We review the recent advances towards finding the spectrum of the AdS5 × S5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the…

The AdS 5 ×S 5 superstring worldsheet S matrix and crossing symmetry

An algebraic way to implement crossing relations for the AdS{sub 5}xS{sup 5} superstring worldsheet S matrix is proposed and generalized rapidities living on the universal cover of the parameter space which is constructed through an auxillary, coupling-constant dependent, elliptic curve.

Worldsheet Form Factors in AdS/CFT

verify that these conditions hold, at tree level in the near-plane-wave limit and to one loop in the near-flat (Maldacena-Swanson) limit, for a number of specific cases. We further study the form…

On the plane-wave cubic vertex

The exact bosonic Neumann matrices of the cubic vertex in plane-wave light-cone string field theory are derived using the contour integration techniques developed in our earlier paper. This…

Foundations of the AdS5 × S5 Superstring Part I

We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the…

Form Factors for Integrable Lagrangian Field

Using Watson’s and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field φ(x) and the…

HHL correlators, orbit averaging and form factors

A bstractWe argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N$$ \mathcal{N} $$ = 4 Super-Yang-Mills theory has…

Fixing the quantum three-point function

A bstractWe propose a new method for the computation of quantum three-point functions for operators in $ \mathfrak{s}\mathfrak{u} $(2) sectors of $ \mathcal{N} $ = 4 super Yang-Mills theory. The…