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Title: Conformal differential operator in embedding space and its applications

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]
  1. Univ. Laval, Qubec, QC (Canada); DOE/OSTI
  2. Yale Univ., New Haven, CT (United States)
+ Show Author Affiliations

We develop techniques useful for obtaining conformal blocks in embedding space. We construct a unique differential operator in embedding space and use it to construct a function that will be an important ingredient in assembling conformal blocks. We show a number of relations that the components of conformal blocks satisfy and find invariance of our expressions under the dihedral group.

Research Organization:
Yale Univ., New Haven, CT (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
FG02-92ER40704
OSTI ID:
1610196
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (24)

On the system of partial differential equations associated with Appell's function F4 journal February 1995
Conformal Invariance on the Light cone and Canonical Dimensions text January 1971
Wave Equations in Conformal Space journal April 1936
Convergence of operator product expansions on the vacuum in conformal invariant quantum field theory journal June 1977
Manifestly conformal covariant operator-product expansion journal December 1971
Scalar-vector bootstrap journal January 2016
Conformal correlators of mixed-symmetry tensors journal February 2015
Seed conformal blocks in 4D CFT journal February 2016
Harmony of spinning conformal blocks journal March 2017
Projectors and seed conformal blocks for traceless mixed-symmetry tensors journal July 2016
Recursion relations for conformal blocks journal September 2016
Spinning conformal correlators journal November 2011
Spinning conformal blocks journal November 2011
Bootstrapping mixed correlators in the 3D Ising model journal November 2014
Finite-component field representations of the conformal group journal June 1969
Tensor representations of conformal algebra and conformally covariant operator product expansion journal March 1973
Conformal invariance on the light cone and canonical dimensions journal November 1971
Conformal four point functions and the operator product expansion journal April 2001
Conformal partial waves and the operator product expansion journal February 2004
Bounding scalar operator dimensions in 4 D CFT journal December 2008
Superintegrability of d -Dimensional Conformal Blocks journal August 2016
Thomas's Structure Bundle for Conformal, Projective and Related Structures journal December 1994
Wave Equations in Conformal Space journal April 1936
Higher symmetries of the Laplacian journal January 2005

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Conformal Field Theory
Conformal and W Symmetry
Physics