3 Citations
General method for including Stueckelberg fields
- Mathematics
- 2021
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
- Physics
- 2021
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
- Mathematics, Computer Science
- 2020
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
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Comments on Higher-Spin Fields in Nontrivial Backgrounds
- Mathematics
- 2016
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
- Mathematics
- 2011
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
- Physics
- 2013
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
- Physics
- 2013
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
- Physics
- 2017
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
- Physics
- 2015
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
- Mathematics
- 2014
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
- Geology
- 2016
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
- MathematicsAlgorithms 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
- Mathematics, Physics
- 2009
We present the most general curvature obstruction to the deformed parabolic orthosymplectic symmetry subalgebra of the supersymmetric quantum mechanical models recently developed to describe…