scholarly journals String correlators on AdS3: three-point functions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Andrea Dei ◽  
Lorenz Eberhardt
Keyword(s):  
Correlation Functions ◽  
Spectral Flow ◽  
Closed Formula ◽  
Fusion Rules ◽  
First Time ◽  
String Worldsheet

Abstract We revisit the computation of string worldsheet correlators on Euclidean AdS3 with pure NS-NS background. We compute correlation functions with insertions of spectrally flowed operators. We explicitly solve all the known constraints of the model and for the first time conjecture a closed formula for three-point functions with arbitrary amount of spectral flow. We explain the relation of our results with previous computations in the literature and derive the fusion rules of the model. This paper is the first in a series with several installments.

scholarly journals Correlation functions of symmetric orbifold from AdS3 string theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Yasuaki Hikida ◽  
Tianshu Liu
Keyword(s):  
Riemann Surface ◽  
String Theory ◽  
Correlation Functions ◽  
Reduction Method ◽  
Important Ingredient ◽  
Genus Zero ◽  
Wznw Model ◽  
Twist Operators ◽  
Liouville Field Theory ◽  
String Worldsheet

Abstract The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective Riemann surface. It is then shown that the correlation function can be reproduced from the sl(2) WZNW model. The computation is based on the claim that string worldsheet is given by the same Riemann surface and the reduction method from sl(2) WZNW model to Liouville field theory. We first consider the genus zero surface and then generalize the analysis to the case of generic genus. The radius of AdS3 is related to the level k of the WZNW model. For k = 3, our result should be an important ingredient for deriving AdS3/CFT2 correspondence with tensionless superstrings to all orders in string perturbation theory. For generic k, relations involving specific forms of correlation functions for strings on AdS3× X were obtained.

scholarly journals Methodology and Models of Combined Modeling of Electromagnetic Pro-cesses in Electric Traction Systems

2021 ◽  
pp. 40-49
Author(s):  
T. M Mishchenko
Keyword(s):  
Electric Power ◽  
Correlation Functions ◽  
Correlation Equation ◽  
Transition Function ◽  
Electric Locomotive ◽  
Electromagnetic Processes ◽  
Electric Traction ◽  
Traction System ◽  
First Time ◽  
Identification Model

Purpose. The main purpose of the work is the development of identification models and a new method of modeling electromagnetic processes in electric traction systems with simultaneous consideration of all its subsystems, as well as several feeder zones of the electrified section. Methodology. To achieve this purpose, the methods of mathematical modelling, the basics of the theory of random processes and the methodology of their probabilistic-statistical processing, the methods for solving integral equations and analysis of electric traction circuits in electric traction systems are used. Findings. The requirements to be met by an adequate, stochastic identification model of electric traction devices are established. The solution of Fredholm’s integral correlation equation of the first kind is performed. The analytical expression of the identification dynamic model of the electric locomotive DE–1 is obtained and its adequacy is checked. The methodology of combined modeling of electromagnetic processes in devices and subsystems of electric traction systems is developed and presented tabularly. Originality. For the first time it is proposed to use the pulse transition function as identification models of traction substation and traction network with electric rolling stock in predictive modeling of electromagnetic and electric power processes in electric traction systems. A new method has been developed, a method of complex modeling of electromagnetic and electric power processes in the system of electric traction with simultaneous consideration of all its subsystems, as well as several inter-substation zones of the electrified section. For the first time, a method of partitioning the correlation functions for solving an integral correlation equation has been proposed, which allows defining a pulse transition function as an identification model of any subsystem of an electric traction system. Practical value. The developed identification models and the method of combined modeling make it possible to predict electromagnetic processes simultaneously in all feeder zones of the electrified section of the electric traction system. The obtained identification model of the electric locomotive DE–1 can be adapted with its subsequent use in modeling processes in the traction circuits of electric locomotives of other types. The method of factorization of correlation functions used in solving the Volterra integral correlation equation of the first kind (convolution type) can be adapted to the solution of other integral equations, which describe the processes in electric traction systems.

scholarly journals THE CORRELATION FUNCTIONS OF THE (D4, A6) CONFORMAL MODEL

2004 ◽  
Vol 19 (25) ◽  
pp. 4271-4285
Author(s):  
S. BALASKA ◽  
K. DEMMOUCHE
Keyword(s):  
Correlation Functions ◽  
Conformal Algebra ◽  
Fusion Rules ◽  
Conformal Model ◽  
Structure Constants

In this work, we exploit the operator content of the (D4, A6) conformal algebra. By constructing a Z2-invariants fusion rules of a chosen subalgebra and by resolving the bootstrap equations consistent with these rules, we determine the structure constants of the subalgebra.

scholarly journals Integrable bootstrap for AdS3/CFT2 correlation functions

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Burkhard Eden ◽  
Dennis le Plat ◽  
Alessandro Sfondrini
Keyword(s):  
Form Factor ◽  
Spectral Problem ◽  
Correlation Functions ◽  
Consistency Conditions ◽  
Point Correlation ◽  
First Time ◽  
Many Particles

Abstract We propose an integrable bootstrap framework for the computation of correlation functions for superstrings in AdS3 × S3 × T4 backgrounds supported by an arbitrary mixture or Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz fluxes. The framework extends the “hexagon tessellation” approach which was originally proposed for AdS5 × S5 and for the first time it demonstrates its applicability to other (less supersymmetric) setups. We work out the hexagon form factor for two-particle states, including its dressing factors which follow from those of the spectral problem, and we show that it satisfies non-trivial consistency conditions. We propose a bootstrap principle, slightly different from that of AdS5 × S5, which allows to extend the form factor to arbitrarily many particles. Finally, we compare its predictions with some correlation functions of protected operators. Possible applications of this construction include the study of wrapping corrections, of higher-point correlation functions, and of non-planar corrections.

scholarly journals FUSION RESIDUES

1991 ◽  
Vol 06 (38) ◽  
pp. 3543-3556 ◽  
Author(s):  
KENNETH INTRILIGATOR
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Correlation Functions ◽  
Sigma Model ◽  
The Other ◽  
Necessary Condition ◽  
Fusion Rules ◽  
Conformal Field ◽  
Instanton Number

We discuss when and how the Verlinde dimensions of a rational conformal field theory can be expressed as correlation functions in a topological LG theory. It is seen that a necessary condition is that the RCFT fusion rules must exhibit an extra symmetry. We consider two particular perturbations of the Grassmannian superpotentials. The topological LG residues in one perturbation, introduced by Gepner are shown to be twisted version of the SU (N)k Verlinde dimensions. The residues in the other perturbation are the twisted Verlinde dimensions of another RCFT; these topological LG correlation functions are conjectured to be the correlation functions of the corresponding Grassmannian topological sigma model with a coupling in the action to instanton number.

scholarly journals String correlators in AdS3 from FZZ duality

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Gaston Giribet
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
Correlation Functions ◽  
Liouville Theory ◽  
Spectral Flow ◽  
Point Function ◽  
Direct Computation ◽  
Liouville Field Theory

Abstract Motivated by recent works in which the FZZ duality plays an important role, we revisit the computation of correlation functions in the sine-Liouville field theory. We present a direct computation of the three-point function, the simplest to the best of our knowledge, and give expressions for the N-point functions in terms of integrated Liouville theory correlators. This leads us to discuss the relation to the $$ {H}_3^{+} $$ H 3 + WZW-Liouville correspondence, especially in the case in which spectral flow is taken into account. We explain how these results can be used to study scattering amplitudes of winding string states in AdS3.

scholarly journals Third-Order Correlation Functions for a Coulomb Pair

2019 ◽  
Vol 64 (6) ◽  
pp. 477
Author(s):  
V. I. Vaskivskyi
Keyword(s):  
Explicit Form ◽  
Electrostatic Interaction ◽  
Interaction Potential ◽  
Correlation Functions ◽  
Algebraic Method ◽  
Third Order ◽  
Interaction Operator ◽  
First Time

Third-order correlation functions for two particles with the electrostatic interaction have been obtained for the first time using the direct algebraic method. The main relations for the correlation functions that do not depend on the explicit form of the interaction potential between particles, as well as the relations that appear for four specific forms of the interaction operator, are considered.

scholarly journals THE SCHWINGER MODEL ON A CIRCLE: RELATION BETWEEN PATH INTEGRAL AND HAMILTONIAN APPROACHES

2006 ◽  
Vol 21 (32) ◽  
pp. 6593-6619 ◽  
Author(s):  
S. AZAKOV
Keyword(s):  
Path Integral ◽  
Correlation Functions ◽  
Hamiltonian Formalism ◽  
Analytical Continuation ◽  
Spectral Flow ◽  
Integral Formalism ◽  
Schwinger Model ◽  
Path Integral Formalism

We solve the massless Schwinger model exactly in Hamiltonian formalism on a circle. We construct physical states explicitly and discuss the role of the spectral flow and nonperturbative vacua. Different thermodynamical correlation functions are calculated and after performing the analytical continuation are compared with the corresponding expressions obtained for the Schwinger model on the torus in Euclidean path integral formalism obtained before.

Annulate lamellae in the Sertoli cells of guinea pig testis after unilateral torsion of the spermatic cord

1984 ◽  
Vol 42 ◽  
pp. 196-197
Author(s):  
J. Chakraborty ◽  
A. P. Sinha Hikim ◽  
J. S. Jhunjhunwala
Keyword(s):  
Sertoli Cells ◽  
Guinea Pigs ◽  
Spermatic Cord ◽  
Present Report ◽  
Cell Types ◽  
Annulate Lamellae ◽  
Spermatogenic Cells ◽  
Electron Microscopic ◽  
Structural Details ◽  
First Time

Although the presence of annulate lamellae was noted in many cell types, including the rat spermatogenic cells, this structure was never reported in the Sertoli cells of any rodent species. The present report is based on a part of our project on the effect of torsion of the spermatic cord to the contralateral testis. This paper describes for the first time, the fine structural details of the annulate lamellae in the Sertoli cells of damaged testis from guinea pigs.One side of the spermatic cord of each of six Hartly strain adult guinea pigs was surgically twisted (540°) under pentobarbital anesthesia (1). Four months after induction of torsion, animals were sacrificed, testes were excised and processed for the light and electron microscopic investigations. In the damaged testis, the majority of seminiferous tubule contained a layer of Sertoli cells with occasional spermatogonia (Fig. 1). Nuclei of these Sertoli cells were highly pleomorphic and contained small chromatinic clumps adjacent to the inner aspect of the nuclear envelope (Fig. 2).

Electron spectroscopic imaging and diffraction

1991 ◽  
Vol 49 ◽  
pp. 706-707
Author(s):  
M. Rühle ◽  
J. Mayer ◽  
J.C.H. Spence ◽  
J. Bihr ◽  
W. Probst ◽  
...  
Keyword(s):  
Materials Science ◽  
Electron Spectroscopic Imaging ◽  
Magnetic Filter ◽  
Magnetic Imaging ◽  
Illumination System ◽  
Probe Size ◽  
Diffraction Patterns ◽  
Fritz Haber ◽  
Koehler Illumination ◽  
First Time

A new Zeiss TEM with an imaging Omega filter is a fully digitized, side-entry, 120 kV TEM/STEM instrument for materials science. The machine possesses an Omega magnetic imaging energy filter (see Fig. 1) placed between the third and fourth projector lens. Lanio designed the filter and a prototype was built at the Fritz-Haber-Institut in Berlin, Germany. The imaging magnetic filter allows energy-filtered images or diffraction patterns to be recorded without scanning using efficient area detection. The energy dispersion at the exit slit (Fig. 1) results in ∼ 1.5 μm/eV which allows imaging with energy windows of ≤ 10 eV. The smallest probe size of the microscope is 1.6 nm and the Koehler illumination system is used for the first time in a TEM. Serial recording of EELS spectra with a resolution < 1 eV is possible. The digital control allows X,Y,Z coordinates and tilt settings to be stored and later recalled.

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