Massless fields in plane wave geometry

Abstract

Conformal isometry algebras of plane wave geometry are studied. Then, based on the requirement of conformal invariance, a definition of masslessness is introduced and gauge invariant equations of motion, subsidiary conditions, and corresponding gauge transformations for all plane wave geometry massless spin fields are constructed. Light cone representation for elements of conformal algebra acting as differential operators on wavefunctions of massless higher spin fields is also evaluated. Interrelation of plane wave geometry massless higher spin fields with ladder representation of $u(2,2)$ algebra is investigated.

25 pages, LaTeX

References in corpus (5)

• A WZW model based on a non-semi-simple group
• Four Dimensional Plane Wave String Solutions with Coset CFT Description
• Finite sigma models and exact string solutions with Minkowski signature metric
• Exact string background from a WZW model based on the Heisenberg group
• Plane Gravitational Waves in String Theory

Cited by in corpus (4)

• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Exactly solvable model of superstring in Ramond-Ramond plane wave background
• Actions for Self-dual Higher Spin Gravities
• Supersymmetric D3 brane and N=4 SYM actions in plane wave backgrounds