51 research outputs found
Boundary finite size corrections for multiparticle states and planar AdS/CFT
We propose formulas for the L\"uscher type finite size energy correction of
multiparticle states on the interval and evaluate them for the simplest case in
the AdS/CFT setting. By this we determine the leading wrapping correction to
the anomalous dimension of the simplest determinant type operator, which
corresponds to a one particle state on the Y=0 brane.Comment: 21 pages, 22 eps figures, v2: references added, v3: typos, fermionic
signs are corrected in section 4, explicit results simplified, conclusion is
unchange
Diagonal finite volume matrix elements in the sinh-Gordon model
Using the fermionic basis we conjecture exact expressions for diagonal finite
volume matrix elements of exponential operators and their descendants in the
sinh-Gordon theory. Our expressions sum up the LeClair-Mussardo type infinite
series generalized by Pozsgay for excited state expectation values. We checked
our formulae against the Liouville three-point functions for small, while
against Pozsgay's expansion for large volumes and found complete agreement.Comment: 19 pages, 1 figur
6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
Anomalous dimension of the simplest nontrivial single impurity operator in
the beta=1/2 deformed theory is determined at six loops from the AdS/CFT
correspondence. L\"uscher correction is evaluated at next-to-next-to-leading
order (NNLO) in terms of multiple zeta values. The result can be simplified
into the products of simple zeta functions and the same form of the correction
is expected for the Konishi operator at six loops, too.Comment: 14 pages, references added, numeric coefficient in (5) corrected,
which changes the numerical result, but not its structur
Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
The aim of the chapter is to introduce in a pedagogical manner the concept of
Thermodynamic Bethe Ansatz designed to calculate the energy levels of finite
volume integrable systems and to review how it is applied in the planar AdS/CFT
setting.Comment: 21 pages, see also overview article arXiv:1012.3982, v2: references
to other chapters updated, v3: references adde
Wrapping corrections for non-diagonal boundaries in AdS/CFT
We consider an open string stretched between a Y=0 brane and a Y_theta=0
brane. The latter brane is rotated with respect to the former by an angle
theta, and is described by a non-diagonal boundary S-matrix. This system
interpolates smoothly between the Y-Y (theta =0) and the Y-bar Y (theta = pi/2)
systems, which are described by diagonal boundary S-matrices. We use
integrability to compute the energies of one-particle states at weak coupling
up to leading wrapping order (4, 6 loops) as a function of the angle. The
results for the diagonal cases exactly match with those obtained previously.Comment: 21 pages, 1 figur
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 reproduce the decompactified
pp-wave SFT vertex which in turn can be glued to recover the exact finite
volume pp-wave Neumann coefficients. The gluing is performed by resumming
multiple wrapping corrections. We observe important nontrivial contributions at
the multiple wrapping level which are crucial for obtaining the exact results.Comment: 25 pages, many small figure
The kinematical AdS5xS5 Neumann coefficient
For 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 AdS5xS5 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 solution is valid at any coupling and we analyze its
weak coupling, pp-wave and large L limit.Comment: 24 pages, 4 figure
String field theory vertex from integrability
We 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 goal would be the
superstring theory cubic string vertex and the chief application will be to use
this framework as a formulation for SYM theory OPE coefficients
valid at any coupling up to wrapping corrections. In this paper we propose
integrability axioms for the vertex, illustrate them on the example of the
pp-wave string field theory and also uncover similar structures in weak
coupling computations of OPE coefficients.Comment: pdflatex, 52 pages, 20 figures,v2: references added, typos correcte
Spectral curve for open strings attached to the Y=0 brane
The concept of spectral curve is generalized to open strings in AdS/CFT with
integrability preserving boundary conditions. Our definition is based on the
logarithms of the eigenvalues of the open monodromy matrix and makes possible
to determine all the analytic, symmetry and asymptotic properties of the
quasimomenta. We work out the details of the whole construction for the Y = 0
brane boundary condition. The quasimomenta of open circular strings are
explicitly calculated. We use the asymptotic solutions of the Y -system and the
boundary Bethe Ansatz equations to recover the spectral curve in the strong
coupling scaling limit. Using the curve the quasiclassical fluctuations of some
open string solutions are also studied.Comment: 34 pages, 2 figures; v3: typos corrected, sect.2.2 improve
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