The involutive system of higher-spin equations

@article{Rahman2021TheIS,
  title={The involutive system of higher-spin equations},
  author={Rakibur Rahman},
  journal={Nuclear Physics},
  year={2021},
  volume={964},
  pages={115325}
}
  • R. Rahman
  • Published 27 April 2020
  • Physics
  • Nuclear Physics

Tables from this paper

General method for including Stueckelberg fields
A systematic procedure is proposed for inclusion of Stueckelberg fields. The procedure begins with the involutive closure when the original Lagrangian equations are complemented by all the lower
A calculation of the Weyl anomaly for 6D conformal higher spins
In this work we continue the study of the one-loop partition function for higher derivative conformal higher spin (CHS) fields in six dimensions and its holographic counterpart given by massless
Bootstrap bounds on closed Einstein manifolds
TLDR
It is shown that it is possible to obtain nontrivial bounds on the geometric data of closed Einstein manifolds by using semidefinite programming to study these consistency conditions, in analogy to the conformal bootstrap bounds on conformal field theories.

References

SHOWING 1-10 OF 101 REFERENCES
Comments on Higher-Spin Fields in Nontrivial Backgrounds
We consider the free propagation of totally symmetric massive bosonic fields in nontrivial backgrounds. The mutual compatibility of the dynamical equations and constraints in flat space amounts to
ON MANIFOLDS ADMITTING THE CONSISTENT LAGRANGIAN FORMULATION FOR HIGHER SPIN FIELDS
We study a possibility of Lagrangian formulation for free massive higher spin bosonic totally symmetric tensor field on the background manifold characterizing by the arbitrary metric, vector and
Note on gauge invariance and causal propagation
Interactions of gauge-invariant systems are severely constrained by several consistency requirements.One is the preservation of the number of gauge symmetries, another is causal propagation. For
CFT adapted approach to massless fermionic fields, AdS/CFT, and fermionic conformal fields
Fermionic totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four are studied. Using Poincar\'e parametrization of AdS space, CFT adapted gauge
General Backgrounds for higher spin massive particles
We consider the propagation of totally symmetric bosonic fields on generic background spacetimes. The mutual compatibility of the dynamical equations and constraints severely constrains the set of
From Higher Spins to Strings: A Primer
A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their
On conformal higher spin wave operators
A bstractWe analyze free conformal higher spin actions and the corresponding wave operators in arbitrary even dimensions and backgrounds. We show that the wave operators do not factorize in general,
Ostrogradsky in Theories with Multiple Fields
We review how the (absence of) Ostrogradsky instability manifests itself in theories with multiple fields. It has recently been appreciated that when multiple fields are present, the existence of
Involution - The Formal Theory of Differential Equations and its Applications in Computer Algebra
  • W. Seiler
  • Mathematics
    Algorithms and computation in mathematics
  • 2010
The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines
Conformal orthosymplectic quantum mechanics
We present the most general curvature obstruction to the deformed parabolic orthosymplectic symmetry subalgebra of the supersymmetric quantum mechanical models recently developed to describe
...
1
2
3
4
5
...