Higher spin gravitational couplings: Ghosts in the Yang-Mills detour complex

  title={Higher spin gravitational couplings: Ghosts in the Yang-Mills detour complex},
  author={A. Rod Gover and K. E. Hallowell and Andrew Waldron},
  journal={Physical Review D},
Gravitational interactions of higher spin fields are generically plagued by inconsistencies. There exists however, a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein) consistently at the classical level. The model is the simplest example of a Yang-Mills detour complex and has broad mathematical applications, especially to conformal geometry. Even the simplest version of the theory, which couples gravitons, vectors and… 

BRST detour quantization: Generating gauge theories from constraints

We present the Becchi–Rouet–Stora–Tyutin (BRST) cohomologies of a class of constraint (super) Lie algebras as detour complexes. By interpreting the components of detour complexes as gauge

Metric Projective Geometry, BGG Detour Complexes and Partially Massless Gauge Theories

A projective geometry is an equivalence class of torsion free connections sharing the same unparametrised geodesics; this is a basic structure for understanding physical systems. Metric projective

Quaternionic Kähler Detour Complexes and $${\mathcal{N} = 2}$$ Supersymmetric Black Holes

We study a class of supersymmetric spinning particle models derived from the radial quantization of stationary, spherically symmetric black holes of four dimensional $${{\mathcal N} = 2}$$

Detours and Paths: BRST Complexes and Worldline Formalism

We construct detour complexes from the BRST quantization of worldline diffeomorphism invariant systems. This yields a method to efficiently extract physical quantum field theories from particle

β–γ systems and the deformations of the BRST operator

We describe the relation between simple logarithmic CFTs associated with closed and open strings, and their ‘infinite metric’ limits, corresponding to the β–γ systems. This relation is studied on the

L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism

We review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical field theories. In

Conformal Field Theory and algebraic structure of gauge theory

We consider various homotopy algebras related to Yang-Mills theory and twodimensional conformal field theory (CFT). Our main objects of study are Yang-Mills L∞ and C∞ algebras and their relation to

Homotopy algebras of differential (super)forms in three and four dimensions

We consider various $$A_{\infty }$$A∞-algebras of differential (super)forms, which are related to gauge theories and demonstrate explicitly how certain reformulations of gauge theories lead to the



Yang-Mills Detour Complexes and Conformal Geometry

Working over a pseudo-Riemannian manifold, for each vector bundle with connection we construct a sequence of three differential operators which is a complex (termed a Yang-Mills detour complex) if

Partial Differential Equations

THE appearance of these volumes marks the happy conclusion of a work undertaken, as the author reminds us in his preface, twenty-one years ago. Doubtless it would have been finished earlier had it

Annals of Physics

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