| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article forum
| |
|
Superconformal Blocks: General Theory | Ilija Buric
; Volker Schomerus
; Evgeny Sobko
; | Date: |
9 Apr 2019 | Abstract: | In this work we launch a systematic theory of superconformal blocks for
four-point functions of arbitrary supermultiplets. Our results apply to a large
class of superconformal field theories including 4-dimensional models with any
number $mathcal{N}$ of supersymmetries. The central new ingredient is a
universal construction of the relevant Casimir differential equations. In order
to find these equations, we model superconformal blocks as functions on the
supergroup and pick a distinguished set of coordinates. The latter are chosen
so that the superconformal Casimir operator can be written as a perturbation of
the Casimir operator for spinning bosonic blocks by a fermionic (nilpotent)
term. Solutions to the associated eigenvalue problem can be obtained through a
quantum mechanical perturbation theory that truncates at some finite order so
that all results are exact. We illustrate the general theory at the example of
$d=1$ dimensional theories with $mathcal{N}=2$ supersymmetry for which we
recover known superblocks. The paper concludes with an outlook to 4-dimensional
blocks with $mathcal{N}=1$ supersymmetry. | Source: | arXiv, 1904.4852 | Services: | Forum | Review | PDF | Favorites |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |