scholarly journals Construction of Arbitrary Order Conformally Invariant Operators in Higher Spin Spaces

2017 ◽  
Vol 27 (3) ◽  
pp. 2418-2452 ◽  
Author(s):  
Chao Ding ◽  
Raymond Walter ◽  
John Ryan
Keyword(s):  
Arbitrary Order ◽  
Conformally Invariant ◽  
Higher Spin ◽  
Conformally Invariant Operators

Higher spin conserved currents in c = 1 conformally invariant systems

1988 ◽  
Vol 300 ◽  
pp. 637-657 ◽  
Author(s):  
M. Baake ◽  
P. Christe ◽  
V. Rittenberg
Keyword(s):  
Conformally Invariant ◽  
Higher Spin ◽  
Conserved Currents

scholarly journals UNFOLDED FORM OF CONFORMAL EQUATIONS IN M DIMENSIONS AND 𝔬(M + 2)-MODULES

2006 ◽  
Vol 18 (08) ◽  
pp. 823-886 ◽  
Author(s):  
O. V. SHAYNKMAN ◽  
I. YU. TIPUNIN ◽  
M. A. VASILIEV
Keyword(s):  
Differential Equations ◽  
Global Symmetry ◽  
Parabolic Subalgebra ◽  
Dynamical Equations ◽  
Conformally Invariant ◽  
Starting Point ◽  
Higher Spin ◽  
Symmetry Transformations ◽  
Invariant Differential ◽  
Linear Differential

A constructive procedure is proposed for formulation of linear differential equations invariant under global symmetry transformations forming a semi-simple Lie algebra 𝔣. Under certain conditions, 𝔣-invariant systems of differential equations are shown to be associated with 𝔣-modules that are integrable with respect to some parabolic subalgebra of 𝔣. The suggested construction is motivated by the unfolded formulation of dynamical equations developed in the higher spin gauge theory and provides a starting point for generalization to the nonlinear case. It is applied to the conformal algebra 𝔬(M, 2) to classify all linear conformally invariant differential equations in the Minkowski space. Numerous examples of conformal equations are discussed from this perspective.

Construction of conformally invariant higher spin operators using transvector algebras

2014 ◽  
Vol 55 (10) ◽  
pp. 101703 ◽  
Author(s):  
D. Eelbode ◽  
T. Raeymaekers
Keyword(s):  
Conformally Invariant ◽  
Higher Spin

scholarly journals On the relation between conformally invariant operators and some geometric tensors

2015 ◽  
Vol 31 (1) ◽  
pp. 303-312
Author(s):  
Paolo Mastrolia ◽  
Dario Monticelli
Keyword(s):  
Conformally Invariant ◽  
Conformally Invariant Operators

scholarly journals Higher spin 3-point functions in 3d CFT using spinor-helicity variables

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Sachin Jain ◽  
Renjan Rajan John ◽  
Abhishek Mehta ◽  
Amin A. Nizami ◽  
Adithya Suresh
Keyword(s):  
Momentum Space ◽  
Conformally Invariant ◽  
Helicity Formalism ◽  
Higher Spin ◽  
Weight Shifting ◽  
Conserved Currents

Abstract In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting spinor-helicity answers to momentum space, we show that correlators involving spin-s currents can be expressed in terms of some simple conformally invariant conserved structures. This in particular allows us to understand and separate out contact terms systematically, especially for the parity-odd case. We also reproduce some of the correlators using weight-shifting operators.

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