## TripleK
## PhysicsTriple- - Triple-
*K*integrals provide natural way of expressing solutions to conformal Ward identities in momentum space. This includes any 2- and 3-point functions of conformal operators of arbitrary spin such as conserved currents or stress tensor. - All 2- and 3-point
*massless*multi-loop Feynman diagrams with generalized propagators are expressible in terms of triple-*K*integrals. - A large class of triple-
*K*integrals can be analytically expressed in terms of almost elementary functions. In particular 3-point functions of operators of integral conformal dimensions in odd and even-dimensional spacetimes can be evaluated explicitly!
## The packageThe package provides tools for manipulations and evaluations of triple- *TripleK.wl*is the heart of the package. This file contains procedures for manipulations and evaluations of triple-K integrals. Import it by Mathematica's Get command: << TripleK`*BasicExamples.nb*contains examples regarding the use of*TripleK.wl*. It contains 5 sections presenting the package. It is a good point to start.*Konformal.wl*and the remaining Mathematica notebooks serve as a repository of a number of results on the structure of conformal 3-point functions.
Click HERE to download the package. The package is licensed under the GNU General Public License v3.0. ## TutorialThe package is accompanied by a number of expamples. The basic features of the package are described in my article [2005.10841]. A short video tutorial with the applications in cosmology can be found below. ## ReferencesIf you use the package, please cite: Adam Bzowski, For further reference on triple- If you have any questions/comments/suggestions, please don't hesitate to contact me at |